WO2016181750A1 - 分光測色装置、および変換ルール設定方法 - Google Patents
分光測色装置、および変換ルール設定方法 Download PDFInfo
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- G—PHYSICS
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- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J3/00—Spectrometry; Spectrophotometry; Monochromators; Measuring colours
- G01J3/46—Measurement of colour; Colour measuring devices, e.g. colorimeters
- G01J3/50—Measurement of colour; Colour measuring devices, e.g. colorimeters using electric radiation detectors
- G01J3/502—Measurement of colour; Colour measuring devices, e.g. colorimeters using electric radiation detectors using a dispersive element, e.g. grating, prism
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- G01J3/00—Spectrometry; Spectrophotometry; Monochromators; Measuring colours
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- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J3/00—Spectrometry; Spectrophotometry; Monochromators; Measuring colours
- G01J3/46—Measurement of colour; Colour measuring devices, e.g. colorimeters
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Definitions
- the present invention relates to a spectral colorimetry device and a conversion rule setting method for setting a rule for converting a measurement value acquired by a spectral colorimetry device into a spectral reflectance that can be acquired by another spectral colorimetry device.
- Patent Documents 1 to 3 a spectrocolorimeter that measures the spectral reflectance on the surface of the object.
- this spectrocolor measurement device for example, measurement values relating to black chromaticity and white chromaticity obtained by measurement of two standard colors such as black and white are used, and measurement values relating to the spectral reflectance of the object. Can be calibrated (for example, Patent Document 1).
- a spectral colorimetric device for example, a plurality of spectral colorimetric devices are used in parallel in a factory or the like, and some spectral colorimetric devices are replaced with new spectral colorimetric devices. It can be assumed that the type of spectrocolorimeter can coexist.
- the replacement of the spectral colorimetry apparatus for example, an aspect in which the spectral colorimetry apparatus that has been used so far is replaced with a succeeding model of the spectral colorimetry apparatus.
- the measurement values of the two standard colors such as black and white are used and the measurement values related to the object are calibrated, the same object will be obtained for the object close to black and white. Similar spectral reflectances can be obtained even when measured by different spectral colorimetric devices.
- the calibration method related to the optical system and spectral sensitivity is different, so when an object of a color different from black and white is measured by different spectral colorimetry devices, Different spectral reflectances can be acquired for each spectrocolorimeter.
- the spectral reflectance R m (i) acquired by measuring a certain object by the spectral colorimetric device m is acquired by measuring the same target by another spectral colorimetric device t according to the equation (1).
- a method of converting into the obtained spectral reflectance R t (i) has been proposed (for example, Non-Patent Document 1).
- ⁇ represents a wavelength
- a (i), B (i), C (i), D (i), and E (i) are the i-th wavelengths in the first to fifth terms on the right side.
- the coefficient for ⁇ is shown.
- spectral reflectances acquired by actually measuring a plurality of calibration samples by the spectral colorimetry device m and the spectral colorimetry device t are applied to the equation (1).
- the coefficients A (i), B (i), C (i), D (i), and E (i) of Equation (1) are obtained.
- the expression (1) to which the obtained coefficients A (i), B (i), C (i), D (i), and E (i) are applied is used.
- the spectral reflectance R m (i) acquired by the measurement by the spectral color measuring device m the spectral reflectance R t (i) that can be acquired by the measurement by the spectral color measuring device t can be calculated.
- JP-A-61-292026 Japanese Patent Laid-Open No. 61-290433 JP-A-62-2899736
- the spectral reflectance is, for example, a two-dimensional one in which the horizontal axis indicates the wavelength of the reflected light from the object, and the vertical axis indicates the reflectance according to the intensity of the reflected light from the object (or light energy is acceptable). Represented by a graph. For this reason, between the different spectral colorimetric devices, the spectral reflectance can be shifted in two axial directions such as the horizontal axis direction related to the wavelength and the vertical axis direction related to the light energy.
- the problem of linearity in which the relationship between the intensity of the reflected light from the object and the measured value for each light receiving element of the spectrocolorimeter is out of proportion is the An error may occur in the coefficient E (i).
- a shift related to the wavelength of the reflected light received by each light receiving element of the spectrocolorimeter causes an error in the coefficient C (i) of the third term on the right side of Equation (1).
- the deviation of the half-value width of the spectral sensitivity in each light receiving element corresponding to each wavelength of the spectrocolorimeter can cause an error in the coefficient D (i) of the fourth term on the right side of Equation (1).
- the coefficients A (i) to E (i) take different values for each wavelength ⁇ (i).
- ⁇ for each wavelength lambda (i), 1 derivative of the spectral reflectance R m (i) and the spectral reflectance R m (i) (dR m (i) / d ⁇ ) and second derivative (d 2 R m)
- the spectral reflectance of five or more kinds of calibration samples in which (i) / d ⁇ 2 ) has a value different from 0 is actually measured, five coefficients A (i) ⁇ E (i) can be determined.
- the spectral reflectance R m (i) is inclined with respect to the change in wavelength ⁇ (i).
- the third term on the right side including the first derivative (dR m (i) / d ⁇ ) of the spectral reflectance R m (i) of formula (1) exhibits a value different from zero.
- a calibration sample in which the slope of the spectral reflectance R m (i) changes with respect to the change of the detection wavelength ⁇ (i) is used for each detection wavelength ⁇ (i) of the spectrocolorimeter. If so, the fourth term on the right side including the second derivative (d 2 R m (i) / d ⁇ 2 ) of the spectral reflectance R m (i) of the formula (1) exhibits a value different from zero.
- each detection wavelength lambda (i), the spectral reflectance R m (i), the slope and spectral reflectance samples R m (i) for the change in slope greater calibration of the spectral reflectance R m (i) is If used, the coefficients A (i) to D (i) can be obtained with high accuracy.
- the fifth term on the right side is a quadratic function that has the minimum when the spectral reflectance R m (i) is 0% and 100% and the maximum when the spectral reflectance R m (i) is 50%. Therefore, if a plurality of calibration samples exhibiting a plurality of spectral reflectances R m (i) from 0% to 100% are employed for each detection wavelength ⁇ (i), the coefficient E (i) is accurate. It can be well sought.
- a calibration sample having a large slope of the spectral reflectance R m (i) at a certain detection wavelength ⁇ (i) has a small slope of the spectral reflectance R m (i) at another detection wavelength ⁇ (i).
- the optimum calibration sample for obtaining the coefficients A (i) to E (i) differs for each detection wavelength ⁇ (i). Therefore, in order to obtain the coefficients A (i) to E (i) for each wavelength ⁇ (i), a very large number of calibration samples are required.
- the robustness relating to the calculation of the spectral reflectance R t (i) using the equation (1) differs depending on how the calibration sample is selected. That is, when one or more terms on the right side of Expression (1) are multiplied by an error related to measurement according to the method of selecting a calibration sample, the spectral reflectance R t ( An error is likely to occur in i).
- the spectral colorimetry device outputs measurement values related to the spectral reflectance R m (i) at predetermined wavelength intervals such as 10 nm intervals, for example. Therefore, the first-order derivative (dR m (i) / d ⁇ ) of the spectral reflectance R m (i) at the detection wavelength ⁇ (i) is the value of the derivative of the spectral reflectance R m (i) in the actual calculation. Instead of (also referred to as a differential value), it is a difference value (also referred to as a difference value) of the spectral reflectance R m (i).
- an error caused by the difference between the differential value and the difference value is obtained by spectral measurement obtained by conversion using the formula (1) from the spectral reflectance R m (i) obtained by measurement by the spectral colorimetry device m.
- An error is caused between the spectral reflectance R t (i) of the color device t and the spectral reflectance R t (i) obtained by actual measurement by the spectral colorimetric device t.
- the present invention has been made in view of the above problems, and an object of the present invention is to provide a technique by which a highly accurate conversion rule for measured values between different spectrocolorimetric devices can be easily set.
- a spectral colorimetric apparatus includes a light source, a light receiving unit, a calculation unit, a storage unit, an acquisition unit, and a conversion unit.
- the light receiving unit spectrally reflects the reflected light generated on the surface of the object in accordance with the irradiation of the illumination light emitted from the light source to the object, and measures a spectral spectrum related to the reflected light.
- the calculation unit calculates a first spectral reflectance from the spectral spectrum.
- storage part memorize
- the acquisition unit converts the first spectral reflectance acquired by measurement using the spectral colorimetry device based on the first spectral reflectance and the relationship information, and a conversion different from the spectral colorimetry device.
- a reflectance difference for each wavelength is obtained from the second spectral reflectance that can be obtained by measurement using the previous spectral colorimetric device.
- the said conversion part adds or subtracts the reflectance difference about each wavelength acquired by the said acquisition part with respect to a said 1st spectral reflectance, and makes the said 1st spectral reflectance a said 2nd spectral reflection. Convert to rate.
- the conversion rule setting method includes steps (a) to (c).
- steps (a) to (c) a predetermined value range in which the reflectance is preset in at least a part of the wavelength range of the measurement target by the first spectral colorimetry device and the second spectral colorimetry device. Spectral reflectance is measured for each of a plurality of samples that are included in the width of and different from each other.
- step (b) a plurality of first items respectively acquired by the calculation unit based on the measurement result in the step (a) by the measurement on the plurality of samples using the first spectrocolorimetric device.
- the reflectance for each wavelength between the spectral reflectance and the plurality of second spectral reflectances that can be obtained by the measurement of the plurality of samples using the second spectral colorimetry device, and the reflectance A relationship with a reflectance difference as a shift component is acquired.
- the setting unit obtains the measurement by the first spectral colorimetry device based on the relationship between the reflectance and the reflectance difference at each wavelength obtained in the step (b).
- the conversion rule for converting the spectral reflectance to be converted into the spectral reflectance that can be acquired by the measurement by the second spectral colorimetry device is set.
- the relationship between the reflectance and the reflectance difference for each wavelength is set separately from the shift related to the spectral sensitivity, so that measurement between different spectral colorimetric devices is performed.
- a highly accurate conversion rule for values can be easily set.
- the conversion rule setting method since the relationship between the reflectance and the reflectance difference for each wavelength is easily obtained, a highly accurate conversion rule for measured values between different spectrocolorimeters Can be easily set.
- FIG. 1 is a diagram schematically illustrating a configuration example of the first spectral colorimetry apparatus.
- FIG. 2 is a diagram schematically illustrating a configuration example of the second spectral colorimetry apparatus.
- FIG. 3 is a diagram schematically illustrating a configuration example of the light receiving unit.
- FIG. 4 is a diagram illustrating the first and second spectral reflectances relating to the red colorimetric object.
- FIG. 5 is a diagram illustrating the difference between the first spectral reflectance and the second spectral reflectance.
- FIG. 6 is a diagram illustrating the spectral reflectance of the transparent member.
- FIG. 7 is a diagram illustrating the spectral sensitivity of each light receiving element of the light receiving unit.
- FIG. 1 is a diagram schematically illustrating a configuration example of the first spectral colorimetry apparatus.
- FIG. 2 is a diagram schematically illustrating a configuration example of the second spectral colorimetry apparatus.
- FIG. 3 is a diagram schematic
- FIG. 8 is a diagram illustrating a functional configuration realized by the control unit of the first spectral colorimetry apparatus.
- FIG. 9 is a diagram illustrating a functional configuration realized by the control unit of the second spectral colorimetry apparatus.
- FIG. 10 is a diagram illustrating the spectral reflectance acquired for an achromatic colorimetric object.
- FIG. 11 is a diagram illustrating the difference between the spectral reflectances acquired for the same achromatic colorimetric object between apparatuses.
- FIG. 12 is a diagram illustrating a functional configuration realized by the control unit of the first spectral colorimetry apparatus.
- FIG. 13 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 14 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 15 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 16 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 17 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 18 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 19 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 20 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 21 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 22 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 23 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 24 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 25 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 26 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 27 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 28 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 29 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 30 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 31 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 32 is a diagram illustrating the relationship between the spectral reflectance and the difference between the spectral reflectances.
- FIG. 33 is a diagram illustrating the first and second spectral reflectances acquired by the measurement using the first and second spectral colorimetry devices.
- FIG. 34 is a diagram illustrating the difference between the first spectral reflectance and the second spectral reflectance.
- FIG. 35 is a diagram illustrating the difference between the corrected first spectral reflectance and the second spectral reflectance obtained by subtracting the reflectance difference from the first spectral reflectance.
- FIG. 36 is a flowchart showing an operation flow relating to the setting of the conversion rule.
- FIG. 37 is a diagram illustrating the spectral reflectance of a plurality of samples used for fitting.
- FIG. 38 is a diagram illustrating a function of a normal distribution indicating the spectral sensitivity in one light receiving element.
- FIG. 39 is a flowchart showing an operation flow for converting the spectral spectrum obtained by the measurement of the first spectral colorimetry device into the spectral reflectance that can be acquired by the second spectral colorimetry device.
- FIG. 40 is a diagram illustrating the relationship between the incident light amount and the output in the first and second spectrocolorimetric devices.
- FIG. 41 is a diagram schematically illustrating a configuration example of the first spectral colorimetry apparatus.
- FIG. 42 is a diagram illustrating the spectral reflectance of two types of transparent members.
- the spectral reflectance (first value) obtained by the measurement using the first spectral colorimetry device 1m Spectral reflectance (also referred to as second spectral reflectance) that can be obtained by measurement using a second spectral colorimetric device 1t (see FIG. 2) different from the first spectral colorimetric device 1m. If it is converted into.
- the second spectral colorimetry device 1t is another spectral colorimetry device (also referred to as a conversion destination spectral colorimetry device) as a conversion destination of the first spectral reflectance obtained by the first spectral colorimetry device 1m. is there.
- the first spectral colorimetry device 1m and the second spectral colorimetry device 1t may be different devices or different devices of the same model.
- the shift between the first spectral reflectance and the second spectral reflectance is a shift related to the linearity of the reflectance (appropriately referred to as a shift related to linearity) and spectral sensitivity.
- a conversion rule is set by treating the difference as such. This makes it possible to set the conversion rule using a small number of calibration samples. That is, a highly accurate conversion rule for measured values between different spectrophotometric devices can be easily set.
- the deviation related to the linearity is caused, for example, by the fact that the relationship between the intensity of the reflected light actually generated on the colorimetric object and the intensity of the reflected light measured for each wavelength differs between apparatuses. This is a shift in spectral reflectance direction (also referred to as a first shift). That is, the deviation relating to the linearity is a difference in reflectance (reflectance) as a deviation component (also referred to as a deviation component) relating to the reflectance for each wavelength between the first spectral reflectance and the second spectral reflectance. Equivalent to the difference).
- the shift relating to the spectral sensitivity is, for example, a shift in the wavelength direction of the spectral reflectance (second calibration) as an error (also referred to as a calibration error) caused by a calibration method of different wavelengths between apparatuses in the calibration of the spectral sensitivity. It is also referred to as a deviation.
- FIG. 1 is a diagram schematically illustrating a configuration example of the first spectral colorimetry apparatus 1m according to an embodiment.
- FIG. 2 is a diagram schematically illustrating a configuration example of the second spectral colorimetric apparatus 1t.
- the 45/0 (45 ° illumination, vertical light reception) configuration recommended by the International Commission on Illumination (CIE) is adopted will be described.
- a 0/45 (vertical illumination, 45 ° light reception) configuration recommended by CIE may be adopted.
- the first spectral colorimetric device 1m and the second spectral colorimetric device 1t include, for example, a housing 2 and a light source 11, a light emitting circuit 12, a light receiving unit 13, a control unit 14, and a storage unit stored in the housing 2. 15 and an input / output unit 16.
- the housing 2 has an opening 2o.
- the second spectral colorimetric apparatus 1t is provided with a transparent member (also referred to as a transparent member) 17t for preventing an object (dust, dust, etc.) from entering the housing 2 through the opening 2o.
- a transparent member also referred to as a transparent member
- an example in which a transparent member is not provided is employed in the first spectral colorimetric apparatus 1m.
- the transparent member 17t has, for example, a convex lens or plate shape, and as the material of the transparent member 17t, for example, colorless and transparent glass or acrylic can be adopted.
- the opening 2o allows light emitted from the light source 11 (also referred to as illumination light) to pass toward the outside of the housing 2 so that the colorimetry is arranged in the vicinity of the opening 2o outside the housing 2.
- the object 100 is irradiated with the illumination light. Further, the opening 2 o allows reflected light generated on the surface of the colorimetric object 100 in response to irradiation of illumination light emitted from the light source 11 to the colorimetric object 100 toward the inside of the housing 2.
- the light source 11 emits white light, for example.
- a lamp such as a xenon (Xe) flash lamp may be employed as the light source 11 that emits white light.
- the light emitting circuit 12 is a circuit that causes the light source 11 to emit light under the control of the control unit 14.
- the light receiving unit 13 spectrally reflects the reflected light generated on the surface of the colorimetric object 100 in accordance with the irradiation of the illumination light emitted from the light source 11 to the colorimetric object 100 and generates a spectral spectrum related to the intensity of the reflected light. taking measurement.
- FIG. 3 is a diagram schematically illustrating a configuration example of the light receiving unit 13. As illustrated in FIG. 3, the light receiving unit 13 includes, for example, a slit plate 131, a spectroscopic unit 132, and a sensor unit 133.
- the slit plate 131 has a plate-like shape having a slit-shaped opening (also referred to as a slit portion) 131 s for allowing a part of the reflected light (also referred to as incident light) L 0 from the colorimetric object 100 to enter the light receiving portion 13. It is a member.
- the spectroscopic unit 132 is a member that divides the incident light L0 incident from the slit unit 131s according to the wavelength, and includes, for example, a diffraction grating.
- the outer edge of the luminous flux of red light (also referred to as red light) Lr1 out of the light having a plurality of wavelengths obtained by splitting the incident light L0 by the spectroscopic unit 132 is drawn by a solid line arrow.
- the outer edge of the light beam of blue light (also referred to as blue light) Lb1 is drawn by a dashed-dotted arrow.
- the sensor unit 133 is a part that measures the intensity of the light split by the spectroscopic unit 132 for each wavelength, and includes, for example, a line sensor (also referred to as a linear array sensor) in which a plurality of light receiving elements are arranged in a row. Configured.
- a line sensor also referred to as a linear array sensor
- the incident light L0 incident from the slit 131s is split by the spectroscopic unit 132 and then irradiated to the sensor unit 133, whereby the sensor unit 133 causes the incident light L0 to be incident on the incident light L0.
- the light intensity for each wavelength is measured.
- the control unit 14 is an electric circuit that performs various types of information processing, and mainly includes a processor P0 and a memory M0.
- the processor P0 reads and executes the program stored in the storage unit 15 (the program P1 in the first spectral colorimetry device 1m and the program P2 in the second spectral colorimetry device 1t), thereby executing the first.
- Functions of controlling each unit and performing various calculations in the 1 spectral colorimetric apparatus 1m (or the second spectral colorimetric apparatus 1t) are realized.
- the memory M0 is a volatile storage medium such as a RAM, and temporarily stores data generated by various calculations in the control unit 14.
- the storage unit 15 is configured by, for example, a non-volatile storage medium, and is used for various calculations in the program (the program P1 in the first spectral colorimetry device 1m and the program P2 in the second spectral colorimetry device 1t) and the control unit 14. Various types of information are stored. In the first spectral colorimetry device 1m and the second spectral colorimetry device 1t, since the programs P1 and P2 executed by the control unit 14 are different, various functions realized by the control unit 14 are different.
- the input / output unit 16 includes, for example, an operation unit and a display unit.
- the input / output unit 16 has, for example, a function of inputting a signal according to the operation of the operation unit by the user and a function of visually outputting various information as a calculation result in the control unit 14 on the display unit.
- FIG. 4 shows the spectral reflectance (first spectral reflectance) R m ( ⁇ ) measured by the first spectral colorimetry apparatus 1m and the second spectral measurement for the same red tile as the colorimetric object 100. It is a graph which illustrates the spectral reflectance (2nd spectral reflectance) Rt ((lambda)) measured with the color apparatus 1t.
- the horizontal axis indicates the light wavelength ⁇
- the vertical axis indicates the spectral reflectance R ( ⁇ ) on the surface of the colorimetric object 100.
- FIG. 5 shows the relationship between the first spectral reflectance R m ( ⁇ ) obtained by the first spectral colorimetric device 1m and the second spectral reflectance R t ( ⁇ ) obtained by the second spectral colorimetric device 1t.
- the horizontal axis indicates the wavelength ⁇
- the vertical axis indicates the reflectance difference ⁇ R
- the relationship between the wavelength ⁇ and the reflectance difference ⁇ R is drawn by a solid line.
- the measured values of spectral reflectance differ between apparatuses.
- the spectral reflectance deviation between the apparatuses is classified into the first deviation relating to linearity and the second deviation relating to spectral sensitivity.
- the first shift related to linearity and the second shift related to spectral sensitivity will be specifically described.
- FIG. 6 is a diagram illustrating an example of the spectral reflectance in the transparent member 17t.
- the transparent member 17t provided in the second spectral colorimetric device 1t exhibits a spectral reflectance as shown in FIG. 6 by, for example, an antireflection coating applied to the surface.
- the second spectral colorimetric device 1t for example, after the irradiation light emitted from the light source 11 is reflected by the surface of the colorimetric object 100, the light transmitted through the transparent member 17t, and further The light that passes through the transparent member 17 t after being retroreflected in order on the surface of the transparent member 17 t and the surface of the colorimetric object 100 is received by the light receiving unit 13.
- the first spectral colorimetric device 1 m for example, irradiation light emitted from the light source 11 is simply received by the light receiving unit 13 after being reflected by the surface of the color measurement object 100.
- the colorimetric object 100 is the same between the first spectral colorimetric device 1m and the second spectral colorimetric device 1t, the light path from the light source 11 to the light receiving unit 13 is the same.
- the acquired spectral reflectance may be different.
- a white calibration plate using a white calibration plate having a reflectance of about 100% and a black calibration plate having a reflectance of about 0% are used.
- a black calibration shall be performed.
- the colorimetric object 100 is white
- the spectral spectra priced on the white calibration plate can be measured by the first and second spectral colorimetric devices 1m and 1t, respectively.
- the colorimetric object 100 is black
- the spectral spectra priced on the black calibration plate by the first and second spectral colorimetric devices 1m and 1t can be measured.
- the colorimetric object 100 is white or black, the same spectral reflectance can be acquired between the first spectral colorimetric device 1m and the second spectral colorimetric device 1t.
- the colorimetric object 100 has a substantially intermediate reflectance between white and black (for example, about 50%) in the spectral spectra measured by the first and second spectral colorimetry devices 1m and 1t, The greatest deviation due to retroreflection can occur.
- the spectral reflectance of the transparent member 17t is not constant with respect to the wavelength. For this reason, for example, retroreflection between the transparent member 17t and the colorimetric object 100 does not occur for a wavelength at which the reflectance of the transparent member 17t is 0%.
- the acquired spectral reflectance deviation varies greatly between apparatuses due to retroreflection between the transparent member 17t and the colorimetric object 100.
- the first shift relating to the linearity caused by the retroreflection of the acquired spectral reflectance varies depending on the wavelength of light and the reflectance of the colorimetric object 100.
- the change in reflectance with respect to the change in wavelength is relatively small in the wavelength range near 650 to 740 nm.
- the spectral reflectance shift at wavelengths near 650 to 740 nm is the first shift related to linearity due to retroreflection. It corresponds to.
- FIG. 7 is a diagram showing the spectral sensitivity of each light receiving element constituting the sensor unit 133 of the light receiving unit 13.
- the light receiving units 13 have different spectral sensitivities.
- a function for example, a function that defines the center-of-gravity wavelength, half-value width, etc.
- Correction according to the spectral sensitivity can be performed.
- there are many calibration methods such as the following calibration method using a monochromator and calibration method using a bright line light source, and the wavelength calibration method varies depending on the model. Laws can be employed.
- the wavelength of the monochromatic light emitted from the monochromator is incident on the spectrocolorimeter while being shifted in time sequence, and the monochromatic light spectrum of each wavelength and the spectrocolorimeter are used.
- the wavelength is calibrated so that the detected spectral spectrum matches.
- 1 nm etc. can be employ
- the monochromatic light of each wavelength tends to have a weak light amount, so that the exposure time when receiving the monochromatic light in the spectrocolorimetric device can be long.
- the number of scanning wavelength points of monochromatic light of a plurality of wavelengths is very large, and it takes a long time for wavelength calibration.
- the calibration method using the bright line light beam for example, light of a plurality of specific wavelengths emitted from the bright line light source is input to the spectrocolorimeter and detected by the spectrophotometer and the spectroscopic colorimeter relating to the intensity of each specific wavelength light.
- the wavelength is calibrated so that the spectral spectrum matches.
- the bright line light source for example, a mercury lamp or a mercury cadmium lamp can be adopted.
- the calibration method using bright line rays for example, light of a plurality of specific wavelengths is simultaneously emitted from the bright line rays, and the amount of light of each specific wavelength is high, so that the time required for calibration can be shortened.
- the calibration accuracy is low for wavelengths that deviate from a plurality of specific wavelengths.
- the wavelength calibration method is different between the first spectral color measuring device 1m and the second spectral color measuring device 1t, for example, the first spectral color measuring device 1m and the second spectral color measuring device 1t.
- the first spectral color measuring device 1m and the second spectral color measuring device 1t are different in accuracy of calibration relating to the center-of-gravity wavelength and the half-value width of the spectral sensitivity of each light receiving element.
- the wavelength calibration method is different between the first spectral color measuring device 1m and the second spectral color measuring device 1t, even if the color measuring object 100 is the same, each spectral color measuring device 1m, The spectrums relating to the reflected light acquired at 1t are different.
- the spectral reflectance acquired according to the difference in the wavelength calibration method between the first spectral colorimetric device 1m and the second spectral colorimetric device 1t is shifted in the wavelength direction, or the spectral reflection is measured.
- the rate waveform is distorted, resulting in a difference in spectral reflectance as a measurement result.
- the change in reflectance with respect to the change in wavelength is large in the wavelength range near 550 to 650 nm. For this reason, among the spectral reflectance shifts acquired between the devices shown in FIGS. 4 and 5, the spectral reflectance shift at a wavelength near 550 to 650 nm corresponds to the second shift related to the spectral sensitivity. .
- the first and second spectral colorimetric devices 1m and 1t are products of the same manufacturer, and the first spectral colorimetric device 1m is a successor of the second spectral colorimetric device 1t, the user is the same.
- the first spectral colorimetric device 1m is expected to obtain the same measurement value as the second spectral colorimetric device 1t.
- the spectral reflectance obtained by the first spectral colorimetric device 1m is considered to be the second spectral colorimetric device 1t in consideration of the shift in spectral reflectance between the devices. Is converted into a spectral reflectance that can be obtained in
- the difference in spectral reflectance between the devices is a mixture of the first deviation related to linearity and the second deviation related to spectral sensitivity. For this reason, if the first shift related to linearity and the second shift related to spectral sensitivity are not distinguished, for example, the first spectral reflectance is calculated using the conventional formula (1).
- a method of setting a conversion rule for conversion to spectral reflectance must be adopted.
- Expression (1) is a very complicated expression, and coefficients A (i), B (i), C (i), D (i), E for each wavelength ⁇ (i) related to each light receiving element. (I) needs to be required.
- the deviation between the first spectral reflectance acquired by the first spectral colorimetric device 1m and the second spectral reflectance acquired by the second spectral colorimetric device 1t is linear.
- the conversion rule is set by treating the first shift and the second shift related to the spectral sensitivity separately.
- both the first and second spectral colorimetry apparatuses 1m and 1t are products of the same manufacturer, the information related to various calibrations is known by the manufacturer. For this reason, in the first spectral colorimetry device 1m, for example, by using information related to various known calibrations, a highly accurate conversion rule for measured values between different spectral colorimetry devices is easily set. obtain.
- FIG. 8 is a diagram exemplifying a functional configuration realized by the control unit 14 of the first spectral colorimetric device 1m in order to correct the shift in spectral reflectance between the devices.
- control unit 14 of the first spectral colorimetry apparatus 1m has a calculation unit 14ma, an acquisition unit 14mb, and a conversion unit as functional configurations realized by the program P1 being executed by the processor P0. Part 14mc.
- the calculation unit 14ma calculates the spectral reflectance (first spectral reflection) related to the colorimetric object 100 from the spectral spectrum related to the reflected light from the colorimetric object 100 measured by the light receiving unit 13 of the first spectral colorimetric device 1m. Rate).
- the first spectral reflectance can be calculated based on a spectral spectrum of light emitted from the preset light source 11 and a spectral spectrum related to the measured reflected light.
- the acquisition unit 14mb Based on the first spectral reflectance calculated by the calculating unit 14ma and the relationship information A1 stored in the storage unit 15, the acquisition unit 14mb generates light between the first spectral reflectance and the second spectral reflectance.
- the reflectance difference as a shift component related to the reflectance for each wavelength is obtained.
- the relationship information A1 is information indicating the relationship between the reflectance and the reflectance difference for each wavelength of light, and the first spectral reflectance R m ( ⁇ ) is changed to the second spectral reflectance R t ( ⁇ ).
- This is information for defining a conversion rule (also referred to as a first conversion rule) for correcting the first deviation related to linearity for conversion.
- the first spectral reflectance R m ( ⁇ ) is acquired by actual measurement using the first spectral colorimetric device 1m.
- the second spectral reflectance R t ( ⁇ ) is estimated to be obtained by measurement using the second spectral colorimetric device 1t as a conversion destination spectral colorimetric device different from the first spectral colorimetric device 1m. It is an estimated value (also referred to as a second estimated spectral reflectance).
- the difference in reflectance for each wavelength is, for example, a spectral reflectance obtained by measurement using the first spectral colorimetry device 1m in advance for the same calibration sample, and the second spectral colorimetry device 1t. It can be acquired based on the difference from the spectral reflectance obtained by measurement using. Thereby, for example, for each wavelength, the relationship between the reflectance corresponding to the first spectral reflectance obtained by the measurement using the first spectral colorimetric device 1m and the reflectance difference can be acquired.
- the conversion unit 14mc adds or subtracts the reflectance difference for each wavelength acquired by the acquisition unit 14mb to the first spectral reflectance calculated by the calculation unit 14ma, thereby obtaining the first spectral reflectance. Convert to 2 spectral reflectance.
- the conversion unit 14mc may be subtracted from the first spectral reflectance calculated by the calculation unit 14ma. Conversely, if the reflectance difference represents the magnitude of the second spectral reflectance based on the first spectral reflectance, the reflectance difference may be added to the first spectral reflectance.
- the conversion unit 14mc includes a calibrated spectral sensitivity (also referred to as calibrated spectral sensitivity) of another second spectral colorimetric device 1t different from the first spectral colorimetric device 1m, and the first spectral colorimetric device 1m.
- calibrated spectral sensitivity also referred to as calibrated spectral sensitivity
- R * estimated value of the spectral reflectance
- the calibrated spectral sensitivity information S1 is a conversion rule for correcting the second shift related to the spectral sensitivity in order to convert the first spectral reflectance R m ( ⁇ ) into the second spectral reflectance R t ( ⁇ ).
- second conversion rule a highly accurate conversion rule of the measured value between the different first and second spectral colorimetric devices 1m and 1t can be easily set.
- the conversion unit 14mc adds or subtracts the reflectance difference for each wavelength acquired by the acquisition unit 14mb to the first spectral reflectance R m ( ⁇ ) as described above, and also performs the second spectral colorimetry.
- the second spectral reflectance R t that can be obtained from the spectral spectrum by the second spectral colorimetric apparatus 1t. ( ⁇ ) may be calculated.
- the conversion unit 14mc adds or subtracts the reflectance difference for each wavelength acquired by the acquisition unit 14mb to the spectral reflectance acquired using the spectral spectrum and the calibrated spectral sensitivity.
- the second spectral reflectance that can be acquired by the second spectral colorimetric device 1t is calculated.
- the first spectral reflectance R m ( ⁇ ) acquired by the first spectral colorimetric device 1m and the second spectral reflectance R t acquired by the second spectral colorimetric device 1t is set by dividing the deviation from ( ⁇ ) into a first deviation related to linearity and a second deviation related to spectral sensitivity.
- FIG. 9 is a diagram illustrating a functional configuration realized by the control unit 14 of the second spectral colorimetric apparatus 1t.
- the control unit 14 of the second spectral colorimetric apparatus 1t includes a calculation unit 14ta as a functional configuration realized by executing the program P2 by the processor P0.
- the calculation unit 14ta calculates the spectral reflectance (second spectral reflection) related to the colorimetric object 100 from the spectral spectrum related to the reflected light from the colorimetric object 100 measured by the light receiving unit 13 of the second spectral colorimetric device 1t. Rate) R t ( ⁇ ) is calculated.
- the second spectral reflectance can be calculated based on the spectral spectrum of light emitted from the preset light source 11 and the spectral spectrum related to the measured reflected light.
- the reflectance is a predetermined value range in the entire range of the wavelength range to be measured. Samples for calibration included within the width of.
- the wavelength range achromatic color range to be measured for example, a wavelength range of about 360 to 740 nm which is a wavelength range of visible light can be adopted.
- the width of the predetermined value range for example, a preset very narrow value range can be adopted. Examples of the colorimetric object 100 that satisfies such conditions include an achromatic sample.
- FIG. 10 is a diagram illustrating the spectral reflectance acquired for the achromatic colorimetric object 100.
- the first and second spectral reflectances R m ( ⁇ ) obtained by the first and second spectral colorimetric devices 1m and 1t for a plurality of types of dark achromatic samples ranging from white to black, respectively. ), R t ( ⁇ ) are shown as curves.
- the first and second spectral reflectances R m ( ⁇ ) and R t ( ⁇ ) are shown in a graph in which the horizontal axis is the wavelength ⁇ and the vertical axis is the reflectance R.
- FIG. 11 is a diagram illustrating the difference in spectral reflectance obtained between the same achromatic colorimetric object 100 between apparatuses.
- the first spectral colorimetric device 1m and the second spectral colorimetric device 1t in the wavelength range of 360 to 400 nm and the wavelength range of 650 to 740 nm where the reflectance of the transparent member 17t is high.
- a state in which a difference in spectral reflectance between the apparatuses occurs is shown.
- the difference (reflectance difference) ⁇ R ( ⁇ ) from the second spectral reflectance R t ( ⁇ ) acquired by the two-spectral colorimetric apparatus 1t corresponds to a first deviation related to linearity.
- the colorimetric object 100 having a substantially constant spectral reflectance is used as a calibration sample, so that the second shift related to the spectral sensitivity among the spectral reflectance shifts acquired between the apparatuses.
- the first shift related to linearity can be detected without the influence of.
- a plurality of calibration samples for obtaining the relationship between the reflectance for each wavelength and the reflectance difference as a shift component related to the reflectance can be easily prepared. That is, the relationship between the reflectance for each wavelength and the reflectance difference as a shift component related to the reflectance can be easily obtained.
- the setting of the relationship information A1 indicating the relationship between the reflectance and the reflectance difference for each wavelength will be specifically described.
- FIG. 12 shows functions realized by the control unit 14 of the first spectral colorimetric device 1m in order to set the relationship information A1 as the first change rule for correcting the first deviation related to the linearity between the devices. It is a figure which illustrates a typical structure.
- the control unit 14 of the first spectrocolorimetric apparatus 1m has a calculation unit 14ma, a functional configuration realized by executing the program P1 in the storage unit 15 by the processor P0. It has the calculating part 14md and the setting part 14me.
- the calculation unit 14md includes a plurality of first spectral reflectances obtained by measurement using the first spectral colorimetry device 1m, and a plurality of second spectral reflectances obtained by measurement using the second spectral colorimetry device 1t.
- the relationship between the reflectance and the difference in reflectance for each wavelength is acquired.
- the plurality of first spectral reflectances can be respectively acquired by measurement related to the plurality of samples using the first spectral colorimetric device 1m.
- the colorimetric object is obtained from the spectral spectrum related to the reflected light from the colorimetric object 100 measured by the light receiving unit 13 of the first spectral colorimetric device 1m.
- a first spectral reflectance associated with the object 100 can be calculated.
- the plurality of second spectral reflectances can be respectively acquired by measurement related to a plurality of samples using the second spectral colorimetric device 1t. For example, for each sample for achromatic calibration by the calculation unit 14ta, the colorimetric object is obtained from the spectral spectrum related to the reflected light from the colorimetric object 100 measured by the light receiving unit 13 of the second spectral colorimetric device 1t.
- a second spectral reflectance associated with the object 100 can be calculated.
- the setting unit 14me based on the relationship between the reflectance and the reflectance difference at each wavelength acquired by the calculation unit 14md, obtains the first spectral reflectance R m ( ⁇ obtained by measurement by the first spectral colorimetric device 1m. ) To the second spectral reflectance R t ( ⁇ ) that can be acquired by measurement by the second spectral colorimetric device 1t, the relation information A1 is set.
- FIGS. 13 to 32 are diagrams showing the relationship between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ).
- the first spectral reflectance R m ( ⁇ ) is a measured value obtained by actual measurement using a first spectral colorimetric device 1m for a plurality of types of achromatic calibration samples having different densities. It is.
- the reflectance difference ⁇ R ( ⁇ ) is the first spectral reflectance R obtained by actual measurement using the first spectral colorimetric device 1m for each of a plurality of types of achromatic calibration samples having different densities.
- m ( ⁇ ) is the difference between the second spectral reflectance R t ( ⁇ ) obtained by actual measurement using the second spectral colorimetric device 1t.
- the first and second spectral colorimetry devices 1m and 1t perform white calibration and black calibration, respectively, so that the first and second spectral reflectances R m ( ⁇ ) and R t ( An example is shown in which the reflectance difference ⁇ R ( ⁇ ) exhibits a maximum value when ⁇ ) is approximately 50%.
- the first spectral reflectance R m ( ⁇ ) becomes a small value, and an error due to measurement is likely to occur in the reflectance difference ⁇ R ( ⁇ ).
- This error causes a reduction in the accuracy of correction when correcting the first deviation related to linearity for the chromatic color measurement object 100 when performing actual color measurement that is not for calibration. Therefore, for the first spectral reflectance R m ( ⁇ ) is a small colorimetric object 100, while finely changing the first spectral reflectance R m ( ⁇ ), a first spectral reflectance R m ( ⁇ ) If the relationship with the reflectance difference ⁇ R ( ⁇ ) is acquired, the influence of measurement errors in the reflectance difference ⁇ R ( ⁇ ) can be reduced.
- the first spectral reflectance R m of a number of mutually strength for different calorimetric object 100
- a state in which the relationship between ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) is acquired by actual measurement is shown.
- the first spectral reflectance R m ( ⁇ ) of 6 levels or more such as 0, 5, 10, 20, 50, 100%, etc.
- the first spectral reflectance R m ( ⁇ ) and the reflectance difference are shown. If the relationship with ⁇ R ( ⁇ ) is obtained by actual measurement, errors due to measurement in the reflectance difference ⁇ R ( ⁇ ) can be reduced to some extent.
- the spectral reflectance can be measured for the number of wavelengths corresponding to the number of the plurality of light receiving elements by measuring one calibration sample.
- a large number of data relating to spectral reflectance can be acquired with a small number of calibration samples.
- the relationship information A1 for converting the first spectral reflectance R m ( ⁇ ) into the second spectral reflectance R t ( ⁇ ) can be easily obtained and set.
- the relationship information A1 includes a relational expression that approximately indicates the relationship between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) for each wavelength ⁇ . That is, a case is assumed where the relational expression indicates the relationship between the reflectance and the reflectance difference for each wavelength. Then, by fitting the Nth order function represented by the equation (2) to the relationship between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) obtained by actual measurement, A coefficient a n ( ⁇ ) is obtained.
- n is an integer of 0 to N
- N is an arbitrary integer of 2 or more that can be set as appropriate.
- the first and second spectral reflectances R m ( ⁇ ) and R t ( ⁇ ) are 39 wavelengths (360, 370, 380,..., Each having a pitch of 10 nm in the wavelength range of 360 to 740 nm. 740 nm), the coefficient a n ( ⁇ ) is obtained for each of the 39 wavelengths.
- a relational expression that approximately shows the relation between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) can be calculated.
- the calculation of the relational expression by fitting can be executed in the calculation unit 14md.
- the calculation of the relational expression by the fitting may be executed by various information processing apparatuses other than the first spectral colorimetry apparatus 1m, for example.
- the coefficients obtained for each wavelength lambda a n (lambda) and the formula (2) may be stored in the storage unit 15 as the related information A1 by the setting unit 14Me. That is, the relationship information A1 as the first conversion rule can be set by the setting unit 14me.
- the relationship information A1 is acquired by measurement using the first and second spectral colorimetry devices 1m and 1t for each of the achromatic calibration samples having different spectral reflectances. It can be set based on the first and second spectral reflectances R m ( ⁇ ), R t ( ⁇ ).
- the first spectral reflectance R m ( ⁇ ) when the first spectral reflectance R m ( ⁇ ) is obtained for a given colorimetric object 100 by measurement using the first spectral colorimetric device 1m, the first and second spectral colorimetric devices 1m,
- the reflectance difference ⁇ R ( ⁇ ) corresponding to the first deviation related to linearity between devices at 1t can be calculated by substituting the first spectral reflectance R m ( ⁇ ) into the equation (2). . That is, in the acquisition unit 14mb, the reflectance difference for each wavelength ⁇ is calculated by using the first spectral reflectance R m ( ⁇ ) of the arbitrary colorimetric object 100 and the relational expression included in the relationship information A1.
- ⁇ R ( ⁇ ) can be obtained.
- the measurement value can be converted with high accuracy and speed between the first and second spectral colorimetric devices 1m and 1t which are different from each other by the conversion unit 14mc.
- one N-th order function is fitted to a plurality of combinations of the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) obtained by actual measurement.
- R m ( ⁇ ) the first spectral reflectance
- ⁇ R ( ⁇ ) the reflectance difference
- the first spectral reflectance R m ( ⁇ ) is divided into a plurality of sections, and for each section, for a plurality of combinations of the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ). Nth order functions may be fitted.
- the relationship information A1 has a relational expression between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) in each of the plurality of reflectance regions for each wavelength.
- it is calculated coefficients a n in each of a plurality of reflectivity areas (lambda) may be stored in the storage unit 15.
- examples of the plurality of reflectance regions include regions in which 0 to 100%, such as 0 to 10%, 10 to 50%, and 50 to 100%, are divided into a plurality of value ranges.
- a table indicating the relationship between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) by a plurality of combinations of reflectance and reflectance difference is the relationship information A1.
- the acquisition unit 14 mb acquires the reflectance difference ⁇ R ( ⁇ ) for each wavelength ⁇ based on the first spectral reflectance R m ( ⁇ ) and the table related to the arbitrary colorimetric object 100. Can be done.
- the measurement value can be converted with high accuracy and speed between the first and second spectral colorimetric devices 1m and 1t which are different from each other by the conversion unit 14mc.
- the first color associated with an arbitrary colorimetric object 100 is obtained by interpolation processing using a combination of two or more of the reflectance and the reflectance difference included in the table.
- the reflectance difference ⁇ R ( ⁇ ) for each wavelength ⁇ with respect to one spectral reflectance R m ( ⁇ ) can be obtained.
- the storage capacity of the storage unit 15 can be reduced, and the number of calibration samples and the number of measurements for obtaining a large number of combinations of reflectance and reflectance difference can be realized. That is, since the data indicating the relationship between the reflectance and the reflectance difference for each wavelength is small, the data can be easily acquired. As a result, a highly accurate conversion rule for measured values between the first and second spectral colorimetric devices 1m and 1t that are different from each other can be set more easily.
- the storage capacity, reflectance, and reflectance of the storage unit 15 are assumed.
- the number of samples for calibration to obtain a large number of combinations with the difference, the number of measurements, and the like can be increased.
- the calculation load can be reduced and the calculation speed can be improved by omitting the interpolation process.
- the second shift related to the spectral sensitivity between the devices. Is small.
- linearity is obtained along the equation (3) with respect to the first spectral reflectance R m ( ⁇ ) obtained by the measurement using the first spectral colorimetric device 1m.
- FIG. 33 is a diagram illustrating the first and second spectral reflectances R m ( ⁇ ) and R t ( ⁇ ) obtained by measurement using the first and second spectral colorimetric devices 1m and 1t, respectively. .
- FIG. 33 exemplifies the first and second spectral reflectances R m ( ⁇ ) and R t ( ⁇ ) for the colorimetric object 100 in which the spectral reflectance changes gently with respect to the wavelength ⁇ .
- FIG. 34 shows the first spectral reflectance R m ( ⁇ ) obtained by the measurement using the first spectral colorimetric device 1m for the colorimetric object 100 in which the spectral reflectance changes slowly with respect to the wavelength ⁇ . It is a figure which illustrates the difference with 2nd spectral reflectance Rt ((lambda)) acquired by the measurement using the 2nd spectral colorimetry apparatus 1t. As shown in FIG. 34, even if the colorimetric object 100 has a gradual change in the spectral reflectance with respect to the change in the wavelength ⁇ , the first spectral reflectance R m ( ⁇ ) and the second spectral reflectance. Some difference from R t ( ⁇ ) occurs.
- FIG. 35 shows a post-correction obtained by subtracting the reflectance difference ⁇ R ( ⁇ ) from the first spectral reflectance R m ( ⁇ ) for the colorimetric object 100 in which the spectral reflectance changes slowly with respect to the wavelength ⁇ .
- FIG. 6 is a diagram illustrating the difference between the first spectral reflectance (first spectral reflectance R m ( ⁇ ) ⁇ R) and the second spectral reflectance R t ( ⁇ ).
- the reflectance difference ⁇ R ( ⁇ ) is acquired by the acquisition unit 14mb based on the first spectral reflectance R m ( ⁇ ) related to the colorimetric object 100 and the relationship information A1.
- FIG. 6 is a diagram illustrating the difference between the first spectral reflectance (first spectral reflectance R m ( ⁇ ) ⁇ R) and the second spectral reflectance R t ( ⁇ ).
- the reflectance difference ⁇ R ( ⁇ ) is acquired by the acquisition unit 14mb based on the first spectral reflectance R m (
- the first and second spectrums can be obtained if the first deviation related to linearity is corrected.
- the shift in spectral reflectance between the colorimetric devices 1m and 1t can be sufficiently reduced.
- FIG. 36 is a flowchart showing an operation flow for setting the relationship information A1 as the first conversion rule for correcting the first deviation related to linearity.
- the spectral reflectance is measured for each of the plurality of samples by the first and second spectral colorimetric devices 1m and 1t.
- the plurality of samples are, for example, a plurality of achromatic calibration samples having different spectral reflectances.
- the light receiving unit 13 measures the spectral spectrum related to the reflected light from the colorimetric object 100, and uses the spectral spectrum to measure the colorimetric object.
- the first spectral reflectance R m ( ⁇ ) according to 100 can be calculated by the calculation unit 14ma.
- the light-receiving unit 13 measures the spectral spectrum related to the reflected light from the colorimetric object 100, and performs colorimetry from the spectral spectrum.
- the second spectral reflectance R t ( ⁇ ) related to the object 100 can be calculated by the calculation unit 14ta.
- step ST2 between the plurality of first spectral reflectances R m ( ⁇ ) and the plurality of second spectral reflectances R t ( ⁇ ) based on the measurement result in step ST1 by the calculation unit 14md.
- the relationship between the reflectance for each wavelength and the difference in reflectance as a shift component related to the reflectance is acquired.
- step ST3 the setting unit 14me sets the relationship information A1 as the first conversion rule.
- the first spectral reflectance R m ( ⁇ ) is converted into the second spectral reflectance R t ( ⁇ ) based on the relationship between the reflectance and the reflectance difference at each wavelength acquired in step ST2.
- Relation information A1 as one conversion rule is set.
- the first spectrum is obtained.
- the reflectance R m ( ⁇ ) is converted into a second spectral reflectance R t ( ⁇ ) that can be obtained by measurement using the second spectral colorimetric device 1t.
- difference regarding the linearity between apparatuses can be correct
- apart from the second shift relating to the spectral sensitivity the relationship between the reflectance and the reflectance difference for each wavelength is set. Therefore, a highly accurate conversion rule for measured values between the first and second spectral colorimetric devices 1m and 1t that are different from each other can be easily set.
- the intensity (also referred to as a spectral spectrum) of light having a wavelength ⁇ of incident light L0 that enters the light receiving unit 13 from the colorimetric object 100 through the slit 131s is represented by L ( ⁇ ).
- the spectral sensitivity of the kth (k is a natural number from 1 to K0) light receiving element of the sensor unit 133 of the first spectral colorimetric device 1m is s m (k, ⁇ ), and the kth light receiving element receives light.
- the center-of-gravity wavelength of the emitted light be ⁇ G — m (k).
- a signal (also referred to as a first output signal) C m (k) output according to the intensity of light by the k-th light receiving element in the sensor unit 133 of the first spectral colorimetric device 1m is expressed by the equation (5). ).
- Equation (5) can be rewritten into a determinant as shown in Equation (6).
- the first output signal C m (k) is output in response to the incident light L0 exhibiting the spectral spectrum L ( ⁇ ). .
- the intensity (also referred to as a first spectral spectrum) L ( ⁇ G_m (k)) of the incident light L0 at the wavelength ⁇ G_m (k) is expressed by the first output signal C m (k) in Expression (7). Can be calculated by substituting.
- the first spectral spectrum L ( ⁇ G_m (k )) Is obtained accurately.
- the certain manufacturer can accurately obtain the spectral sensitivity s m (k, ⁇ ) in the light receiving unit 13 of the first spectral colorimetry device 1m.
- the light is output from each light receiving element of the first spectral colorimetric apparatus 1m according to light of a specific wavelength.
- the spectral sensitivity s m (k, ⁇ ) may be calculated by obtaining an output signal.
- the light having a specific wavelength for example, at least one of monochromatic light emitted from a monochromator and light having a plurality of specific wavelengths emitted from a bright line light source can be employed.
- incident light L0 having the same spectral spectrum L ( ⁇ ) as that incident on the light receiving unit 13 of the first spectral colorimetric device 1m also enters the light receiving unit 13 of the second spectral colorimetric device 1t. Assume that it is incident.
- the true spectral sensitivity of the kth light receiving element of the sensor unit 133 of the second spectral colorimetric apparatus 1t is defined as s t (k, ⁇ ), and the barycentric wavelength of the light received by the kth light receiving element is ⁇ .
- G_t (k) the true spectral sensitivity of the kth light receiving element of the sensor unit 133 of the second spectral colorimetric apparatus 1t.
- centroid wavelength ⁇ G_t (k ⁇ 1) of the light received by the k ⁇ 1th light receiving element of the sensor unit 133 and the centroid wavelength of the light received by the kth light receiving element are ⁇ G_t (k).
- ⁇ B — t (k) is an intermediate wavelength (also referred to as an intermediate wavelength) expressed by Equation (8).
- the intensity of the incident light L0 at the center of gravity wavelength ⁇ G_t (k) L ( ⁇ G_t (k)) for example, on both sides sandwiching the center of gravity wavelength lambda G_t (k) wavelength lambda g_m of the incident light L0 in (k) It can be calculated by an interpolation process using the intensity L ( ⁇ G_m (k)).
- the true spectral sensitivity s t (k, ⁇ ) is accurately obtained.
- the light is output from each light receiving element of the second spectral colorimetric apparatus 1t according to light of a specific wavelength.
- the spectral sensitivity s t (k, ⁇ ) may be obtained by obtaining the output signal.
- the light having a specific wavelength for example, at least one of monochromatic light emitted from a monochromator and light having a plurality of specific wavelengths emitted from a bright line light source can be employed.
- the spectral sensitivity s t (k, ⁇ ) may be obtained by optical simulation, for example.
- incident light L0 having the same spectral spectrum L ( ⁇ ) as that incident on the light receiving unit 13 of the first spectral colorimetric device 1m is incident on the light receiving unit 13 of the second spectral colorimetric device 1t.
- an estimated value of an output signal (also referred to as a second estimated output signal) C t (k) that can be output according to the light intensity by the kth light receiving element of the sensor unit 133 of the second spectral colorimetric device 1t. )can be calculated by equation (9).
- Equation (9) can be rewritten as a determinant as shown in Equation (10).
- the calibrated spectral sensitivity (also referred to as calibrated spectral sensitivity) obtained by wavelength calibration in the second spectral colorimetric device 1t for the kth light receiving element of the sensor unit 133 of the second spectral colorimetric device 1t.
- s * t (k, ⁇ ) the calibrated centroid wavelength (also referred to as calibrated centroid wavelength) of the light received by the kth light receiving element is ⁇ * G_t (k).
- the calibrated spectral sensitivity s * t (k, ⁇ ) can be a spectral sensitivity deviated from the true spectral sensitivity s t (k, ⁇ ) depending on the accuracy of the wavelength calibration method in the second spectral colorimetric device 1t. .
- An intermediate wavelength (also referred to as a calibrated intermediate wavelength) ⁇ * B_t (k) between the calibrated center of gravity wavelength of light and ⁇ * G_t (k) is expressed by Expression (11).
- the second estimated spectral spectrum L * ( ⁇ * G_t (k)) related to the incident light L0 can be acquired by sequentially performing the following steps 1 to 3.
- Step 1 As shown by the equation (7), the inverse matrix related to the spectral sensitivity s m (k, ⁇ ) and the incident light L0 obtained by actual measurement using the first spectral colorimetric device 1m are used.
- the spectral spectrum L ( ⁇ ) of the incident light L0 is calculated by the product of the output signal C m (k) with the column vector.
- Step 2 As shown in Equation (10), the matrix relating to the true spectral sensitivity s t (k, ⁇ ) of the second spectral colorimetric device 1t and the spectral spectrum of the incident light L0 calculated in Step 1
- the column vector of the second estimated output signal C t (k) that can be acquired by the second spectrocolorimetric device 1t is calculated by the product of L ( ⁇ ) and the column vector.
- the second estimated output signal C t (k) is obtained by measurement using the second spectral colorimetric device 1t when the incident light L0 is incident on the light receiving unit 13 of the second spectral colorimetric device 1t. It is an estimated value of the output signal that can be obtained.
- the spectral spectrum L ( ⁇ ) of the incident light L0 incident on the light receiving unit 13 of the second spectral colorimetric device 1t is the spectral spectrum of the incident light L0 incident on the light receiving unit 13 of the first spectral colorimetric device 1m. It is assumed that it is the same as L ( ⁇ ).
- Step 3 As shown in Expression (12), the inverse matrix of the calibrated spectral sensitivity s * t (k, ⁇ ) of the second spectral colorimetric device 1t and the second estimated output signal acquired in Step 2
- the second estimated spectral spectrum L * ( ⁇ * G_t (k)) is calculated by the product of C t (k) with the column vector.
- the second estimated spectral spectrum L * ( ⁇ * G_t (k)) is an estimated value of the spectral spectrum of the incident light L0 that can be obtained by measurement using the second spectral colorimetric device 1t.
- the estimated value of the second spectral reflectance of the colorimetric object 100 (also referred to as the second estimated spectral reflectance) R * ( ⁇ * G_t (k) that can be obtained by measurement using the second spectral colorimetric device 1t. )) Can be calculated by equation (13).
- the second estimated spectral reflectance R * t ( ⁇ * G_t (k)) is changed from the first term on the right side according to the second deviation related to the spectral sensitivity to the first deviation related to linearity.
- the second term on the right side according to is expressed as a reduced value.
- the first term on the right side fluctuates in accordance with the second shift relating to the spectral sensitivity resulting from the accuracy of the wavelength calibration method in the second spectral colorimetric device 1t.
- the second term on the right side indicates the reflectance difference ⁇ R ( ⁇ * G_t (k)) as the first deviation related to the linearity in the spectral reflectance.
- L * White ( ⁇ * G_t (k)) is the second estimated spectral spectrum (also referred to as the second white estimated spectral spectrum) related to the white calibration plate.
- L * Black ( ⁇ * G_t (k)) is a second estimated spectral spectrum (also referred to as a second black estimated spectral spectrum) related to the black calibration plate.
- L * Sample ( ⁇ * G_t (k)) is a second estimated spectral spectrum (also referred to as a second target estimated spectral spectrum) related to the colorimetric object 100.
- R White ( ⁇ * G_t (k)) is a second spectral reflectance (also referred to as a second white spectral reflectance) related to the white calibration plate.
- Second white estimated spectral spectrum L * White ( ⁇ * G_t (k)), second black estimated spectral spectrum L * Black ( ⁇ * G_t (k)), and second target estimated spectral spectrum L * Sample ( ⁇ * G_t ( k)) can be calculated, for example, by performing measurement and calculation along the above-described steps 1 to 3 for the white calibration plate, the black calibration plate, and the colorimetric object 100. Specifically, the first output signal C m (k) obtained by actual measurement using the first spectral colorimetry device 1m for the white calibration plate, and the equations (7), (10), and (12), A second white estimated spectral spectrum L * White ( ⁇ * G_t (k)) is calculated.
- the second black estimated spectral spectrum is obtained.
- L * Black ( ⁇ * G_t (k)) is calculated.
- the second target estimation is performed based on the first output signal C m (k) obtained by actual measurement using the first spectral colorimetry apparatus 1m for the colorimetric object 100 and the equations (7), (10), and (12).
- a spectral spectrum L * Sample ( ⁇ * G_t (k)) is calculated.
- the second white spectral reflectance R White ( ⁇ * G_t (k)) may be set in advance for the white calibration plate, for example.
- the reflectance difference ⁇ R ( ⁇ * G_t (k)) of the second term on the right-hand side of the equation (13) for example, colorimetry is performed according to the method described in the above (1-4-1) term.
- the object 100 can be acquired based on the first spectral reflectance R m ( ⁇ * G_t (k)) obtained by measurement using the first spectral colorimetric device 1m and the relationship information A1.
- the relation information A1 can also be set, for example, by the method described in the above section (1-4-1).
- the first spectral reflectance R m ( ⁇ * G_t (k)) can be calculated by Expression (14).
- L White ( ⁇ * G_t (k)) is a spectral spectrum (also referred to as a second white spectral spectrum) that can be obtained by measurement using the second spectral colorimetric device 1t for the white calibration plate.
- L Black ( ⁇ * G_t (k)) is a spectral spectrum (also referred to as a second black spectral spectrum) that can be obtained by measurement using the second spectral colorimetric device 1t for the black calibration plate.
- L Sample ( ⁇ * G_t (k)) is a spectral spectrum (also referred to as a second target spectral spectrum) that can be obtained by measuring the colorimetric object 100 using the second spectral colorimetric device 1t.
- R White ( ⁇ * G_t (k)) is the second spectral reflectance (second white spectral reflectance) related to the white calibration plate.
- the spectral reflectance of the black calibration plate is treated as 0%.
- the first output signal C m (k) obtained by measuring the white calibration plate using the first spectral colorimetry device 1m is applied to the equation (7), so that the white calibration plate is related.
- a spectrum spectrum also referred to as a first white spectrum spectrum
- L White ( ⁇ G — m (k)) is obtained.
- the second white spectrum L White by interpolation of the first white spectrum L White ( ⁇ G_m (k) ) ( ⁇ * G_t (k)) may be obtained.
- the first output signal C m (k) acquired by measurement using the first spectral colorimetry device 1m for the black calibration plate is applied to the equation (7), whereby the spectrum related to the black calibration plate is obtained.
- a spectrum also referred to as a first black spectrum
- L Black ( ⁇ G — m (k)) is obtained.
- the first black spectrum L Black ( ⁇ G_m (k) ) second black spectrum L Black by interpolation of ( ⁇ * G_t (k)) may be obtained.
- the first output signal C m (k) obtained by the measurement using the first spectral colorimetry device 1m for the color measurement object 100 is applied to the equation (7), so that the color measurement object is obtained.
- L Sample 100 ( ⁇ G_m (k)) is obtained.
- the second target spectrum by interpolation of the first target spectrum L Sample ( ⁇ G_m (k) ) L Sample ( ⁇ * G_t (k)) may be obtained.
- the second estimated spectral reflectance R * ( ⁇ * G_t (k)) represented by the equation (13) is a spectral spectrum L ( ⁇ * G_t (k) obtained by actual measurement using the second spectral colorimetric device 1t. )) May be deviated from an actual measurement value (also referred to as a second actual spectral reflectance) R ( ⁇ * G_t (k)) calculated from the second spectral reflectance.
- the difference between the second estimated spectral reflectance R * ( ⁇ * G_t (k)) and the second actually measured spectral reflectance R ( ⁇ * G_t (k)) is the same in the second spectral colorimetric device 1t. This is presumably due to the accuracy of wavelength calibration.
- the second spectral colorimetry is performed so that the difference between the second measured spectral reflectance R ( ⁇ * G_t (k)) and the second estimated spectral reflectance R * ( ⁇ * G_t (k)) is minimized.
- the calibrated spectral sensitivity s * t (k, ⁇ ) in the device 1t is adjusted.
- the calibrated spectral sensitivity s * t (k, ⁇ ) that is temporarily set when the objective function F represented by Expression (15) is included in the minimum region is stored in the second spectral colorimetric device 1t.
- the calibrated spectral sensitivity s * t (k, ⁇ ) is estimated.
- the objective function F of equation (15), N 0 or (N 0 is a natural number) obtained for a sample of the second measured spectral reflectance R (lambda * G_t (k)) and the second estimated spectral reflectance The sum of the squares of the difference from the rate R * ( ⁇ * G_t (k)) is shown.
- the objective function F is included in the minimal region, the second estimated spectral reflectance R * ( ⁇ * G_t (k)) is adjusted to the second actually measured spectral reflectance R ( ⁇ * G_t ((k)).
- the state in which the objective function F is included in the minimum region includes, for example, a state in which the objective function F has a minimum value or a state in which the objective function F is in the vicinity of the minimum value.
- the objective function F is less than a predetermined value set in advance near the minimum value.
- the second estimated spectral reflectance R * ( ⁇ * G_t (k)) and the second actually measured spectral reflectance R ( ⁇ * G_t (k)) are included.
- the predetermined difference is set in advance so that the color difference is about 0.1 or less.
- State to fit the range may be a state in which the objective function F is included in the minimum area.
- the second estimation is performed.
- the spectral reflectance R * ( ⁇ * G_t (k)) can be adjusted to the second actually measured spectral reflectance R ( ⁇ * G_t (k)). That is, the calibrated spectral sensitivity s * t (k, ⁇ ) can be set easily and accurately.
- FIG. 37 is a diagram illustrating spectral reflectances for N 0 calibration samples used for fitting. If the entire wavelength range to be measured is covered by the region in which the spectral reflectance changes greatly in any one of the N 0 calibration samples, the wavelength range to be measured In other words , the second estimated spectral reflectance R * ( ⁇ * G_t (k)) is accurately adjusted to the second actually measured spectral reflectance R ( ⁇ * G_t (k)).
- the colorimetric object 100 is an object of a specific color, for example, one or more calibration samples whose spectral reflectance changes greatly in the wavelength range corresponding to the specific color may be used.
- the calibrated spectral sensitivity s * t (k, ⁇ ) obtained by the wavelength calibration in the second spectral colorimetric device 1t for the kth light receiving element of the sensor unit 133 is an L-order function of Equation (16). It is assumed that it is a function of a normal distribution defined by the center-of-gravity wavelength ⁇ * G_t (k) shown and the half-value width ⁇ * FWHM (k) shown by the L-order function shown in Expression (17).
- the order L may be a natural number of 2 or more, for example.
- FIG. 38 is a diagram illustrating an example of spectral sensitivity in the kth light receiving element.
- the calibrated spectral sensitivity s * t (k, ⁇ ) of the second spectral colorimetric device 1t such that the difference between the reflectance R ( ⁇ * G_t (k)) is very close to the minimum region. Is required.
- the second estimated spectral reflectance R * ( ⁇ * G_t (k)) is a spectral spectrum measured by the light receiving unit 13 of the first spectral colorimetric device 1m for a calibration sample as one or more objects.
- the tentatively calibrated spectral sensitivity s * t (k, ⁇ ) is an actual measured value of the spectral reflectance measured by the second spectral colorimetric apparatus 1t for a calibration sample as one or more objects.
- Information indicating the calibrated spectral sensitivity s * t (k, ⁇ ) obtained here is stored in the storage unit 15 as calibrated spectral sensitivity information S1.
- Step i Center-of- gravity wavelength ⁇ * G_t (k) that defines the calibrated spectral sensitivity s * t (k, ⁇ ) of the k-th light receiving element of the second spectral colorimetric apparatus 1t and the half-value width ⁇ * FWHM (k) Is temporarily decided.
- the coefficient a L of formula (16), ..., coefficient b L of a 0 and equation (17), ..., b 0 is determined if.
- the inverse matrix of the calibrated spectral sensitivity s * t (k, ⁇ ) of the equation (12) is temporarily determined.
- Step ii Based on the first output signal C m (k) acquired by the first spectral colorimetry device 1m and the equation (7), the luminance of the calibration sample (first spectral spectrum) L ( ⁇ G_m (k)) is obtained.
- Step iii Based on the first spectral spectrum L ( ⁇ G_m (k)) obtained in Step ii, the wavelength is interpolated and is obtained by the second spectral colorimetric device 1t according to Equation (10). A second estimated output signal C t (k) to be obtained is calculated.
- Step v Based on the second estimated spectral spectrum L * ( ⁇ * G_t (k)) calculated in step iv and the equation (13), the second estimated spectral reflectance R * t ( ⁇ * G_t ( k)) is calculated.
- the second conversion rule for correcting the second shift related to the spectral sensitivity in order to convert the first spectral reflectance R m ( ⁇ ) into the second spectral reflectance R t ( ⁇ ) is defined.
- the calibrated spectral sensitivity information S1 to be set is set. That is, when such a configuration is adopted, the deviation between the first spectral reflectance and the second spectral reflectance is the first deviation related to linearity and the second deviation related to spectral sensitivity.
- the second conversion rule is set using limited calculations such as equations (7), (10), (12), and (13). As a result, the second conversion rule can be set using a relatively small number of calibration samples. That is, a highly accurate conversion rule for measured values between the different first and second spectral colorimetric devices 1m and 1t can be easily set.
- the first spectral spectrum measured by the light receiving unit 13 of the first spectral colorimetric device 1m and the calibrated spectral sensitivity as the second conversion rule can be used and acquired by the second spectral colorimetric device 1t.
- a second estimated spectral reflectance R * t ( ⁇ * G_t (k)) estimated to be one can be calculated.
- FIG. 39 is a flowchart showing an operation flow for correcting the second shift related to the spectral sensitivity.
- the light receiving unit 13 of the first spectrocolorimetric device 1m spectroscopically reflects reflected light generated on the surface of the colorimetric object 100 in response to irradiation of illumination light emitted from the light source 11 to the colorimetric object 100.
- the first spectral spectrum L ( ⁇ G_m (k)) of the reflected light is measured.
- the calculation unit 14ma the first spectral spectrum of the colorimetric object 100 based on the first output signal C m (k) acquired by the first spectral colorimetric device 1m for the colorimetric object 100.
- L ( ⁇ G_m (k)) is calculated.
- step ST12 the second estimated spectral reflectance R * t ( ⁇ * G_t (k)) that can be acquired by the second spectral colorimetric device 1t is calculated by the conversion unit 14mc of the first spectral colorimetric device 1m. Is done.
- the calibrated spectral sensitivity information S1 stored in the storage unit 15 and the first spectral spectrum L ( ⁇ G_m (k)) measured in step ST11 are used, and the first spectral spectrum L is used.
- ( ⁇ g_m (k)) from the second estimated spectral reflectance R * t ( ⁇ * G_t ( k)) is calculated.
- the calibrated spectral sensitivity for the second shift relating to the spectral sensitivity is set separately from the first shift relating to the reflectance, so that the different first and second values are different.
- a highly accurate conversion rule for measured values between the spectrocolorimetric devices 1m and 1t can be easily set.
- the spectral reflectance that makes the reflectance substantially constant regardless of the wavelength of the light is set.
- the achromatic color calibration sample is used as the colorimetric object 100, but is not limited thereto.
- at least a part of a plurality of achromatic calibration samples having different spectral reflectances is a part of a wavelength range to be measured by the first spectral colorimetry device 1m.
- the reflectance may be replaced with a chromatic color calibration sample that is included within a predetermined range.
- all of the plurality of calibration samples used for setting the relationship information A1 for correcting the first deviation related to the linearity between apparatuses is one of the wavelength ranges to be measured.
- the aspect which is a sample for calibration in which the reflectance is included within the width of the predetermined value range in the wavelength range of the part may be employed.
- all the calibration samples may be achromatic, or some of the calibration samples may be achromatic.
- the calibration sample may not be achromatic.
- a plurality of calibration samples for obtaining the relationship between the reflectance and the reflectance difference for each wavelength can be easily prepared. Therefore, the relationship between the reflectance and the reflectance difference for each wavelength can be easily obtained.
- the plurality of calibration samples employed for setting the relationship information A1 are within the range of a predetermined value range in which the reflectance is set in advance in at least a part of the wavelength range of the measurement target wavelength range, for example.
- Samples for calibration that are included and different from each other may be used.
- This may be employed when determining the relationship between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) for the partial wavelength range. For example, for the red calibration sample shown in FIG.
- the spectral reflectance can be substantially constant within a predetermined value range within a wavelength range of 550 nm or less in the wavelength range to be measured.
- the red calibration sample is employed as a calibration sample when determining the relationship between the first spectral reflectance R m ( ⁇ ) and the reflectance difference ⁇ R ( ⁇ ) for a range of 550 nm or less. obtain.
- the relationship with is easily sought. That is, it is possible to further easily set a highly accurate conversion rule for measured values between the different first and second spectral colorimetric apparatuses 1m and 1t.
- the first spectral reflectance is determined between the first spectral colorimetry device 1m and the second spectral colorimetry device 1t due to a difference in optical system such as retroreflection by the transparent member 17t.
- a reflectance difference may occur between R m ( ⁇ ) and the second spectral reflectance R t ( ⁇ )
- the present invention is not limited to this.
- the first deviation correction method related to linearity includes the light receiving element and the amplification circuit of the light receiving unit 13 between the first spectral colorimetric device 1m and the second spectral colorimetric device 1t. It is also applicable to the correction of the first deviation relating to the linearity caused by the deviation of the relationship between the incident light quantity and the output due to the difference in characteristics in the above.
- FIG. 40 is a diagram illustrating the relationship between the amount of incident light and the output signal intensity in the first and second spectral colorimetry apparatuses 1m and 1t.
- the relationship between the amount of incident light and the output signal intensity in the first spectral colorimetry device 1m is drawn with a solid line
- the relationship between the amount of incident light and the output signal intensity in the second spectral colorimetry device 1t is drawn with a broken line.
- the first spectral colorimetry device 1m and the second spectral colorimetry device 1t are different types of devices.
- the present invention is not limited to this.
- the first spectral colorimetry device 1m and the second spectral colorimetry device 1t may be different devices of the same model.
- the first deviation correction method related to linearity in the above-described embodiment is the linearity generated between the first spectral colorimetric device 1m and the second spectral colorimetric device 1t, which are different devices of the same model. This can be applied to the correction of the first shift.
- the first spectral colorimetric device 1m is also provided with a transparent member 17m having the same configuration and function as the transparent member 17t in the second spectral colorimetric device 1t.
- the spectral colorimetric device 1m and the second spectral colorimetric device 1t are different devices of the same model.
- the spectral reflectance may be different between the transparent member 17m and the transparent member 17t as shown in FIG.
- FIG. 42 for example, the spectral reflectance of the transparent member 17m is indicated by a solid line, and the spectral reflectance of the transparent member 17t is indicated by a broken line.
- the spectral reflectance of the transparent members 17m and 17t may vary for each individual transparent member 17m and 17t.
- the aspect of retroreflection may differ between the 1st spectral colorimetry apparatus 1m and the 2nd spectral colorimetry apparatus 1t.
- the same colorimetry object 100 resulting in a measurement using the first spectral reflectance obtained by measurement using the first spectral colorimetric apparatus 1 m R m and (lambda) of the second spectral colorimetric device 1t Deviation may occur between the second spectral reflectance R t ( ⁇ ).
- the correction of the second shift related to the spectral sensitivity has been described with reference to the 14 equations (4) to (17), but the present invention is not limited to this.
- at least a part of the 14 formulas (4) to (17) may be integrated or decomposed as appropriate to obtain one or more formulas.
- the first spectral colorimetry device 1m and the second spectral colorimetry device 1t are manufactured by the same manufacturer, and the manufacturer has information relating to the wavelength calibration of each device, the first spectrophotometry device Based on the data obtained by the color device 1m and the information relating to the wavelength calibration of the second spectral colorimetric device 1t, the second estimated spectral reflectance is calculated, and the second estimated spectral reflectance and the second spectral measurement are calculated.
- a configuration is adopted in which a calibrated spectral sensitivity s * t (k, ⁇ ) is obtained such that the sum of squares of the difference from the second measured spectral reflectance obtained by actual measurement using the color device 1t is minimized. May be.
- the calibrated spectral sensitivity s * t (k, ⁇ ) is the center-of-gravity wavelength ⁇ * G_t (k) indicated by the L-order function of Equation (16) and L indicated by Equation (17). Although it is a function of a normal distribution defined by a half-value width ⁇ * FWHM (k) indicated by the following function, it is not limited to this.
- the calibrated spectral sensitivity s * t (k, ⁇ ) may be represented by another form of expression such as an expression representing the calibrated spectral sensitivity by appropriately shifting the reference expression.
- the true spectral sensitivity s m (k, ⁇ ) in the first spectral colorimetric device 1m and the true spectral sensitivity s t (k, ⁇ ) in the second spectral colorimetric device 1t are accurately determined.
- the spectral sensitivity obtained by measurement or the like using the emission-line light source the true spectral sensitivity s m (k, ⁇ ), s t (k, ⁇ ) even if some errors between the formula ( In the process of calculating the calibrated spectral sensitivity s * t (k, ⁇ ) by including the objective function F defined in 15) in the minimal region, the influence of the slight error can be reduced.
- the calibrated spectral sensitivity that defines the second conversion rule is used.
- the information S1 can be set with high accuracy.
- the coefficients a L ,..., A 0 of the equation (16) and the coefficients b L , of the equation (17) are set so that the objective function F of the equation (15) is included in the minimal region. ..., but b 0 has been adjusted, but is not limited to this.
- the first and second spectral colorimetric devices 1m and 1t are products of the same manufacturer, and the true spectral sensitivity s m (k, ⁇ ) and the second spectral value in the first spectral colorimetric device 1m are the same manufacturer.
- the calibrated spectral sensitivity s * t (k, ⁇ ) determined by the calibration in the factory of the second spectral color measuring device 1t is obtained.
- the second conversion rule may be adopted as it is.
- the calibration in the factory referred to here is, for example, the coefficients a L ,..., A 0 of the equation (16) that defines the calibrated spectral sensitivity s * t (k, ⁇ ) and the coefficients b L , of the equation (17). ..., B 0 can be obtained.
- calibration in the factory can be performed in various ways. Specifically, for example, with respect to monochromatic light having a very narrow half-value width of a wavelength emitted from an emission line light source or the like, the measured value of the spectral spectrum obtained by the measurement using the second spectrocolorimeter 1t and the actual monochromatic color are used.
- Coefficients a L ,..., A 0 , b L ,..., B 0 are set so that the spectral spectra of light coincide. That is, the calibrated spectral sensitivity s * t (k, ⁇ ) is set as the calibration result.
- the first spectral spectrum L ((1) is obtained from the first output signal C m (k) obtained by the first spectral colorimetric device 1m for the colorimetric object 100 by the equation (7).
- ⁇ G — m (k)) is calculated.
- the first spectral spectrum L ( ⁇ G — m (k)) and the spectral sensitivity s t (k, ⁇ ) are applied to the equation (10), so that the second spectral colorimetric device 1t can obtain the spectral spectrum.
- a second estimated output signal C t (k) is calculated.
- the second estimation output signal C t (k) and the inverse matrix of the calibrated spectral sensitivity s * t (k, ⁇ ) as the calibration result are applied to the equation (12), so that the second estimation is performed.
- a spectral spectrum L * ( ⁇ * G_t (k)) is calculated.
- the second estimated spectral reflectance R * ( ⁇ * G_t (k)) can be calculated by applying the second estimated spectral spectrum L * ( ⁇ * G_t (k)) to the equation (13). .
- an operation for including the objective function F in the minimal region is not necessary.
- the spectral spectrum of the irradiation light emitted from the light source 11 is constant.
- the present invention is not limited to this.
- the spectral spectrum of the irradiation light varies with time.
- the irradiation light is directly received to obtain a reference output signal, and the color measurement object 100, the white calibration plate, and the black calibration plate are obtained by the reference output signal.
- the spectral reflectance may be calculated by the equations (13), (14), etc. after dividing the respective output signals obtained.
- the relationship information A1 and the calibrated spectral sensitivity information S1 may be set on the user side.
- One or more chromatic color proofing samples for correcting the deviation are used.
- the user performs measurement using the first and second spectral colorimetry devices 1m and 1t for a plurality of achromatic color calibration samples and one or more chromatic color calibration samples.
- the information obtained as a result may be described in the storage unit 15 as the relationship information A1 and the calibrated spectral sensitivity information S1.
- the second spectral colorimetric device 1t owned by the user is used to set the relationship information A1 and the calibrated spectral sensitivity information S1, so that the different first and second spectral colorimetric devices 1m, 1t are set.
- a high-accuracy conversion rule for the measured values during the period can be set.
- CIE International Commission on Illumination
- 0/45 CIE recommended
- the configuration of vertical illumination, 45 ° light reception) is adopted, but is not limited thereto.
- other configurations such as a configuration in which an integrating sphere is provided between the light source 11, the opening 2o, and the light receiving unit 13 are adopted. May be.
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Abstract
Description
<(1-1)一実施形態の概要>
例えば、異なる分光測色装置の間では、測色の対象物(測色対象物とも言う)が同一であっても、光学系の違いおよび波長の校正法の違い等に応じて、分光反射率の測定値が相違し得る。このため、例えば、同一製品等と言った同様な測色対象物の測定に、異なる分光測色装置が並行して使用されれば、分光測色装置毎に得られる分光反射率および該分光反射率から算出される色彩値が相違する場合がある。この場合、測色対象物の色を適切に管理することが難しい。
図1は、一実施形態に係る第1分光測色装置1mの一構成例を模式的に示す図である。図2は、第2分光測色装置1tの一構成例を模式的に示す図である。ここでは、国際照明委員会(CIE)が推奨する45/0(45°照明、垂直受光)の構成が採用されている例を挙げて説明する。なお、例えば、CIEが推奨する0/45(垂直照明、45°受光)の構成が採用されても良い。
図4は、測色対象物100としての同一の赤色のタイルについて、第1分光測色装置1mで測定された分光反射率(第1分光反射率)Rm(λ)、および第2分光測色装置1tで測定された分光反射率(第2分光反射率)Rt(λ)を例示するグラフである。なお、図4では、横軸が、光の波長λを示し、縦軸は、測色対象物100の表面における分光反射率R(λ)を示す。図5は、第1分光測色装置1mで得られた第1分光反射率Rm(λ)と、第2分光測色装置1tで得られた第2分光反射率Rt(λ)との差ΔR(λ)(=Rm(λ)-Rt(λ))を例示するグラフである。なお、図5では、横軸は、波長λを示し、縦軸は、反射率の差ΔRを示しており、波長λと反射率の差ΔRとの関係が実線で描かれている。
図6は、透明部材17tにおける分光反射率の一例を示す図である。第2分光測色装置1tに設けられている透明部材17tは、例えば、表面に施された反射防止コートによって、図6で示されるような分光反射率を呈する。
図7は、受光部13のセンサー部133を構成する各受光素子における分光感度を示す図である。第1および第2分光測色装置1m,1tでは、受光部13がそれぞれ異なる分光感度を有している。このため、例えば、装置毎に異なる波長の校正法によって、各受光素子における分光感度を規定する関数(例えば、重心波長および半値幅等を規定する関数)が校正されることで、各受光素子の分光感度に応じた補正が施され得る。ここで、波長の校正法としては、例えば、次のモノクロメーターを用いた校正法および輝線光源を用いた校正法等と言った多数の校正法が存在しており、機種毎に異なる波長の校正法が採用され得る。
例えば、第1および第2分光測色装置1m,1tが同一のメーカーの製品で、第1分光測色装置1mが、第2分光測色装置1tの後継機であれば、ユーザーは、同一の測色対象物100について、第1分光測色装置1mでも第2分光測色装置1tと同様な測定値が得られるものと期待する。このような期待に応えるために、本実施形態では、装置間における分光反射率のずれが考慮されて、第1分光測色装置1mで取得される分光反射率が、第2分光測色装置1tで取得され得る分光反射率に変換される。
例えば、測色対象物100が光の波長に拘わらず反射率が略一定となる分光反射率を有する場合には、装置間における分光感度のずれに起因する分光反射率の誤差(分光感度に係る第2のずれ)が殆ど発生しない。具体的には、例えば、分光反射率において波長に拘わらず反射率が略一定であれば、各受光素子における分光感度を規定する重心波長および半値幅が装置間でずれていても、各受光素子において受光される光の強度に係る分光スペクトルは殆ど変わらない。このように、光の波長に拘わらず反射率が略一定となる分光反射率を有する測色対象物100としては、例えば、測定対象となる波長範囲のうちの全範囲において反射率が所定の値域の幅内に含まれている校正用の試料が挙げられる。
図4で示されるように、測色対象物100が、波長の変化に対して分光反射率が急激に変化するようなものである場合には、装置間において、分光感度に係る第2のずれに起因する分光反射率のずれが発生する。このため、装置間における分光感度に係る第2のずれが補正されれば、装置間における分光反射率のずれが十分低減され得る。
なお、本発明は上述の一実施形態に限定されるものではなく、本発明の要旨を逸脱しない範囲において種々の変更、改良等が可能である。
1t 第2分光測色装置
2 筐体
2o 開口部
11 光源
12 発光回路
13 受光部
14 制御部
14ma,14ta 算出部
14mb 取得部
14mc 変換部
14md 演算部
14me 設定部
15 記憶部
16 入出力部
17m,17t 透明部材
100 測色対象物
131 スリット板
132 分光部
133 センサー部
A1 関係情報
S1 校正済み分光感度情報
L0 入射光
M0 メモリー
P0 プロセッサー
P1,P2 プログラム
Claims (9)
- 分光測色装置であって、
光源と、
前記光源から発せられる照明光の対象物に対する照射に応じて該対象物の表面で生じる反射光を分光して、該反射光に係る分光スペクトルを測定する受光部と、
前記分光スペクトルから第1分光反射率を算出する算出部と、
各波長について反射率と反射率のずれ成分としての反射率差との関係を示す関係情報を記憶する記憶部と、
前記第1分光反射率と前記関係情報とに基づいて、前記分光測色装置を用いた測定で取得された前記第1分光反射率と、該分光測色装置とは異なる変換先分光測色装置を用いた測定で取得され得る第2分光反射率との間における各波長についての反射率差を取得する取得部と、
前記取得部で取得された各波長についての反射率差を前記第1分光反射率に対して加算または減算することで、前記第1分光反射率を前記第2分光反射率に変換する変換部と、
を備える、分光測色装置。 - 請求項1に記載の分光測色装置であって、
前記関係情報が、
各波長についての反射率と反射率差との関係を示す関係式を含み、
前記取得部が、
前記第1分光反射率と前記関係式とを用いた演算によって、各波長についての反射率差を取得する、分光測色装置。 - 請求項2に記載の分光測色装置であって、
前記関係情報が、
各波長についての複数の反射率の領域それぞれにおける反射率と反射率差との関係を示す関係式を含んでいる、分光測色装置。 - 請求項1に記載の分光測色装置であって、
前記関係情報が、
各波長について、反射率と反射率差との複数の組合せを示すテーブルを含み、
前記取得部が、
前記第1分光反射率と前記テーブルとに基づいて、各波長についての反射率差を取得する、分光測色装置。 - 請求項4に記載の分光測色装置であって、
前記取得部が、
各波長について、前記テーブルに含まれる反射率と反射率差との2以上の組合せを用いた補間処理によって、反射率差を取得する、分光測色装置。 - 請求項1から請求項5の何れか1つの請求項に記載の分光測色装置であって、
前記関係が、
測定対象の波長範囲における少なくとも一部の波長範囲において反射率が予め設定された所定の値域の幅内に含まれ且つ相互に異なる複数の試料のうちの各試料について前記分光測色装置および前記変換先分光測色装置を用いた測定によってそれぞれ取得される分光反射率に基づいて設定される、分光測色装置。 - 請求項6に記載の分光測色装置であって、
前記複数の試料が、
前記測定対象の波長範囲のうちの全範囲において反射率が前記所定の値域の幅内に含まれている試料を含む、分光測色装置。 - 請求項6または請求項7に記載の分光測色装置であって、
前記複数の試料が、
無彩色であり且つ相互に分光反射率が異なる複数の試料を含む、分光測色装置。 - (a)第1分光測色装置および第2分光測色装置によって、それぞれ測定対象の波長範囲における少なくとも一部の波長範囲において反射率が予め設定された所定の値域の幅内に含まれ且つ相互に異なる複数の試料のうちの各試料について分光反射率を測定するステップと、
(b)演算部によって、前記ステップ(a)における測定結果に基づいて、前記第1分光測色装置を用いた前記複数の試料に係る測定によってそれぞれ取得される複数の第1分光反射率と、前記第2分光測色装置を用いた前記複数の試料に係る測定によってそれぞれ取得され得る複数の第2分光反射率との間における各波長についての反射率と該反射率に係るずれ成分としての反射率差との関係を取得するステップと、
(c)設定部によって、前記ステップ(b)で取得された各波長における反射率と反射率差との関係に基づいて、前記第1分光測色装置による測定で取得される分光反射率を、前記第2分光測色装置による測定で取得され得る分光反射率に変換する変換ルールを設定するステップと、を有する、変換ルール設定方法。
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