WO2014091985A1 - 複眼光学系とそれを用いた撮像装置 - Google Patents
複眼光学系とそれを用いた撮像装置 Download PDFInfo
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- WO2014091985A1 WO2014091985A1 PCT/JP2013/082586 JP2013082586W WO2014091985A1 WO 2014091985 A1 WO2014091985 A1 WO 2014091985A1 JP 2013082586 W JP2013082586 W JP 2013082586W WO 2014091985 A1 WO2014091985 A1 WO 2014091985A1
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- G03B—APPARATUS OR ARRANGEMENTS FOR TAKING PHOTOGRAPHS OR FOR PROJECTING OR VIEWING THEM; APPARATUS OR ARRANGEMENTS EMPLOYING ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ACCESSORIES THEREFOR
- G03B15/00—Special procedures for taking photographs; Apparatus therefor
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- H—ELECTRICITY
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- H04N25/60—Noise processing, e.g. detecting, correcting, reducing or removing noise
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- G02B27/0018—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 with means for preventing ghost images
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- G02B27/1066—Beam splitting or combining systems for enhancing image performance, like resolution, pixel numbers, dual magnifications or dynamic range, by tiling, slicing or overlapping fields of view
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01L—SEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
- H01L27/00—Devices consisting of a plurality of semiconductor or other solid-state components formed in or on a common substrate
- H01L27/14—Devices consisting of a plurality of semiconductor or other solid-state components formed in or on a common substrate including semiconductor components sensitive to infrared radiation, light, electromagnetic radiation of shorter wavelength or corpuscular radiation and specially adapted either for the conversion of the energy of such radiation into electrical energy or for the control of electrical energy by such radiation
- H01L27/144—Devices controlled by radiation
- H01L27/146—Imager structures
- H01L27/14601—Structural or functional details thereof
- H01L27/14625—Optical elements or arrangements associated with the device
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- G03B19/04—Roll-film cameras
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Definitions
- the present invention relates to a compound-eye optical system and an imaging apparatus using the compound-eye optical system.
- a field-divided compound-eye optical system composed of an array lens and a subject image obtained thereby are captured by an image sensor (for example, a CCD (Charge
- an image sensor for example, a CCD (Charge
- the present invention relates to an imaging device that captures with a coupled device (Image sensor), a solid-state imaging device such as a CMOS (Complementary Metal-Oxide Semiconductor) image sensor).
- CMOS Complementary Metal-Oxide Semiconductor
- the compound eye optical system is an array optical system composed of a plurality of lenses arranged in an array, and each forms an image on an imaging region divided into a plurality of parts in the imaging device. The obtained plurality of images are processed and output so as to finally become one image.
- the compound eye optical system described in Patent Document 1 is composed of a plurality of array optical systems that capture an image of the same field of view, and performs super-resolution processing using a slight parallax shift.
- the compound eye optical system described in Non-Patent Document 1 performs field division by the eccentricity of one array optical system, and the compound eye optical system described in Patent Documents 2 and 3 uses a prism for changing an optical path. Is to do.
- the super-resolution processing performed using the compound-eye optical system described in Patent Document 1 requires complicated image processing, so that it takes a lot of calculation time, so that continuous shooting or the like is difficult, and output is further performed. There are problems such as poor image quality.
- the compound eye optical system described in Non-Patent Document 1 it is difficult to increase the number of pixels, and in the compound eye optical systems described in Patent Documents 2 and 3, it is difficult to reduce the thickness because there is a prism. Therefore, conventionally known compound eye optical systems have a problem that none of them can achieve ultra-thinness and high image quality at the same time.
- the present invention has been made in view of such problems, and an object thereof is to provide an ultra-thin, high-quality compound-eye optical system and an imaging apparatus using the same.
- the compound-eye optical system of the first invention is a compound-eye optical system that forms a plurality of images with different fields of view in order to connect a plurality of images with different fields of view and output a single composite image.
- a system A plurality of single-eye optical systems that form a plurality of images with different fields of view on the imaging surface, and a total optical that forms a field-of-view image including the entire field of view obtained by the plurality of single-eye optical systems on the imaging surface
- the single-eye optical system and the entire optical system are configured by a lens array plate in which a plurality of lenses are integrally formed.
- the compound eye optical system according to a second aspect of the present invention is characterized in that, in the first aspect, the imaging surface is in one imaging element.
- a compound eye optical system according to a third invention is characterized in that, in the first or second invention, the lens array plate is composed of at least two.
- An imaging device connects an imaging element, a compound-eye optical system that forms a plurality of images with different fields of view on the imaging element, and a plurality of images with different fields of view formed by the compound-eye optical system.
- An image processing unit that outputs a single composite image,
- the compound-eye optical system includes a plurality of single-eye optical systems that form a plurality of images with different fields of view on the imaging surface of the image sensor, and a field-of-view image that includes the entire field of view obtained by the plurality of single-eye optical systems.
- an overall optical system for forming on the imaging surface The single-eye optical system and the entire optical system are configured by a lens array plate in which a plurality of lenses are integrally formed.
- the image pickup apparatus of a fifth invention is characterized in that, in the above-mentioned fourth invention, the image pickup surface is in one image pickup device.
- An image pickup apparatus is characterized in that, in the fourth or fifth invention, the lens array plate comprises at least two sheets.
- the imaging apparatus according to any one of the fourth to sixth aspects, wherein the image processing unit uses image information obtained by the overall optical system to improve the quality of the composite image. It is characterized by performing.
- An image pickup apparatus is characterized in that, in the seventh invention, a field of view of the whole optical system is larger than a whole field of view obtained by the plurality of single-eye optical systems.
- An image pickup apparatus is the image pickup apparatus according to the seventh or eighth invention, wherein the image information obtained by the entire optical system is crosstalk causing ghost, and the image processing unit is generated in the composite image. It is characterized in that the crosstalk is identified and corrected so that the ghost is not noticeable.
- image information obtained by the overall optical system is shading, and the image processing unit The luminance distribution of the composite image is corrected using luminance distribution information.
- information of an image obtained by the overall optical system is a joint of composite images
- the image processing unit is the overall optical system.
- the joint distribution of the composite image is corrected using the image information.
- the image processing unit has a moving image output function, a live view output function, and a still image output function. Image processing for outputting the composite image is performed, and output using image information of the entire optical system is performed at the time of moving image output or live view output.
- An image pickup apparatus is the imaging device according to any one of the fourth to twelfth aspects, wherein the image formed by the single-eye optical system is a single-eye image, and the image formed by the total optical system is the whole When an area where the single-eye image is formed is a single-eye area and an area where the whole image is formed is the whole area on the imaging surface of the image sensor, the single-eye area is larger than the gap between the single-eye areas. The gap between the region and the entire region is larger.
- An imaging device is the imaging apparatus according to any one of the fourth to thirteenth aspects, other than the single-eye optical system having an optical axis perpendicular to the imaging surface among the plurality of single-eye optical systems.
- This is a decentered optical system having at least one free-form surface.
- any one of the fourth to fourteenth aspects when an image formed by the single-eye optical system is a single-eye image, the periphery of the field of view of each single-eye image overlaps.
- the amount of overlap satisfies the following conditional expression (1). 0.01 ⁇ La / Lb ⁇ 0.5 (1)
- La overlap amount
- Lb width in the overlapping direction of the screen, It is.
- the number of the single-eye optical systems is three or more in the vertical and horizontal directions, and the vertical and horizontal directions are shifted in a 3 ⁇ 3 or more array.
- the single-eye optical system forms an image in a different field of view.
- the image quality can be improved without increasing the thickness of the compound eye optical system. Therefore, it is possible to realize an ultra-thin and high-quality compound eye optical system and an ultra-thin and high-quality image pickup apparatus including the same. Further, by using the compound eye optical system according to the present invention for a digital device such as a mobile phone or a portable information terminal, a high-performance image input function can be added to the digital device in a compact manner.
- FIG. 1 is a schematic diagram illustrating a first embodiment of an imaging apparatus.
- FIG. 1 is an optical configuration diagram showing a first embodiment of a compound eye optical system.
- FIG. The top view for demonstrating the positional relationship of the compound-eye optical system and imaging region in 1st Embodiment.
- FIG. 6 is a flowchart showing a control operation for crosstalk correction.
- a compound-eye optical system is an optical system in which a plurality of lens systems are arranged in an array with respect to an image sensor. Each lens system captures the same field of view, and each lens system captures a different field of view. It is usually divided into a visual field division type to perform.
- the compound eye optical system according to the present invention is a field division type that forms a plurality of images with different fields of view in order to connect a plurality of images with different fields of view and output a single composite image.
- the compound-eye optical system according to the present invention includes: a plurality of single-eye optical systems that form a plurality of images having different fields of view on an imaging surface of an imaging element (for example, a photoelectric conversion unit of a solid-state imaging element); A lens array plate in which a plurality of lenses are formed integrally, and an entire optical system that forms an image of the field of view including the entire field of view obtained by the single-eye optical system on the imaging surface.
- An eye optical system and an entire optical system are configured.
- the imaging surface is preferably on one imaging element (that is, the same imaging element).
- the lens array plate is preferably composed of at least two. If there are at least two lenses, better optical performance can be secured.
- An imaging apparatus according to the present invention includes an imaging element, the compound eye optical system that forms a plurality of images with different fields of view on the imaging element, and a plurality of images with different fields of view formed by the compound eye optical system. And an image processing unit that outputs a single combined image.
- the compound eye optical system is suitable for reducing the thickness of the imaging device in both types, but the field division type performs imaging with a small field of view one by one. It is valid. However, in order to obtain a single composite image from a plurality of images with different fields of view, each image is inverted by the action of the lens and is reflected on the image sensor. Is required. In this case, when using an optical system that uses a lens array plate formed integrally and decenters each other to image different fields of view, there are the following problems (1) to (3). (1): Unnecessary light incident on a single eye reaches the adjacent sensor surface, and thus stray light ghosts due to crosstalk and inter-surface reflection occur.
- the compound-eye optical system according to the present invention forms a plurality of images having different fields of view with a plurality of single-eye optical systems on the imaging surface, and displays a field-of-view image including the fields of view obtained with the plurality of single-eye optical systems.
- the entire optical system is formed on the imaging surface.
- the image formed by the single-eye optical system and the image formed by the entire optical system can be formed on one image pickup device, it is possible to more effectively achieve downsizing of the entire image pickup apparatus.
- the image quality can be improved without increasing the thickness of the compound eye optical system. Therefore, it is possible to realize an ultra-thin and high-quality compound eye optical system and an ultra-thin and high-quality image pickup apparatus including the same.
- the compound eye optical system according to the present invention in a digital device such as a mobile phone or a portable information terminal, it becomes possible to add a high-performance image input function to the digital device in a compact manner. It can contribute to performance and high functionality. The conditions for achieving such effects in a well-balanced manner and achieving higher optical performance, downsizing, etc. will be described below.
- the image processing unit performs correction for improving the image quality of the composite image using image information obtained by the entire optical system.
- image information obtained by the entire optical system it is possible to improve the image quality of a composite image (single-eye composite image) restored from an image obtained by the single-eye optical system.
- the field of view of the entire optical system is larger than the entire field of view (synthetic field of view) obtained with a plurality of single-eye optical systems.
- 5A and 5B show examples of the positional relationship between the overall visual field S0 obtained by the overall optical system and the composite visual field SL obtained by the single-eye optical system (V: short side direction, H: long side). direction).
- Image information obtained by the entire optical system can be used for moving images and live views.
- the screen size of the moving image is 16: 9, and the screen size of the live view is the screen size of an image display device (for example, a liquid crystal display device) of a device (smart phone (high-function mobile phone) or the like) equipped with an imaging device.
- the screen is horizontally long (FIG. 5A). If the entire optical system cuts out an image of a partial area of the all-eye optical system, the entire still image area cannot be accommodated, which is not preferable as a live view. Accordingly, it is preferable to make the overall field of view S0 obtained by the overall optical system larger than the composite field of view SL obtained by a plurality of single-eye optical systems, and thereby, a composite image using image information obtained by the overall optical system. Image quality can be effectively improved.
- the image information obtained by the entire optical system is crosstalk causing ghost
- the image processing unit specifies crosstalk generated in the composite image and corrects the ghost so that it is not noticeable.
- Crosstalk means that light emitted from a specific optical system is incident on a sensor area different from the sensor area where it should be incident. For example, as shown in FIG. 6, among the lens systems L1 to L3 including the lens array plates LA1 and LA2, the light LB incident on the lens system L1 does not enter the sensor region P1 that should be incident on the imaging surface SS. The incident to the sensor regions P2 and P3 after entering the surrounding lens systems L2 and L3 is called crosstalk. Such crosstalk is likely to occur when an integrated lens array such as the lens array plates LA1 and LA2 is used.
- the control operation for crosstalk correction is shown in the flowchart of FIG.
- two steps of (1) a ghost identification process and (2) a ghost reduction process are executed.
- the ghost identification process the luminance values of the entire image and the synthesized image obtained from a plurality of single-eye images are compared, and a location where the luminance values have a large difference (location where crosstalk occurs) is identified (# 110). If it is determined that there is crosstalk (# 120) and it is determined that the crosstalk is at a level that requires correction (# 130), crosstalk reduction processing (ghost reduction processing) is performed (# 140). .
- this crosstalk reduction process a subtraction process is performed for the difference in luminance value from the composite image. As described above, by using the image information obtained by the entire optical system for the crosstalk reduction process, it is possible to perform an effective correction so that the ghost is not noticeable.
- the image information obtained by the overall optical system is shading, and the image processing unit corrects the brightness distribution of the composite image using the brightness distribution information of the image of the overall optical system.
- FIG. 7A shows an example of the single-eye composite image ML
- FIG. 7B shows an example of the entire image M0.
- FIG. 7C shows a change in luminance ( ⁇ : luminance difference) in a region CP in FIGS. 7A and 7B.
- ⁇ luminance difference
- FIG. 8 shows an example of a gray chart photographing result before (A) shading correction and after (B) shading correction.
- the shading correction control operation is shown in the flowchart of FIG.
- two steps are executed: (1) identification of shading presence and (2) shading reduction processing.
- the luminance values of the whole image and the single-eye composite image obtained from a plurality of single-eye images are compared, and a portion having a large difference in the luminance values (location where shading occurs) is specified ( # 210).
- # 210 a portion having a large difference in the luminance values (location where shading occurs) is specified.
- (A) single-eye composite image ML and (B) whole image M0 shown in FIG. 7 the cross section of the region CP (near the joint) and the luminance of the region CP are compared, and the luminance difference ⁇ is If it is above a certain amount, it can be determined that the shading abnormality is at a noticeable level.
- shading reduction processing is performed (# 240).
- this shading reduction process since the luminance distribution of the entire image M0 is close to the original luminance, the luminance of the single-eye synthesized image ML is changed so as to eliminate the luminance difference ⁇ . At that time, it is desirable to be able to adjust the level to be corrected.
- image information obtained by the entire optical system is a joint of the composite image
- the image processing unit corrects the joint distribution of the composite image using the image information of the entire optical system.
- FIG. 9A shows a composite image before connection correction
- FIG. 9B shows a composite image after connection correction.
- FIG. 10 shows the influence of parallax due to the difference in subject distance on stitching.
- FIG. 10A shows a state in which the short-distance object NB and the reference distance object FB are photographed by the imaging device DU.
- FIG. 10B shows the entire image M0, and FIG. Indicates a single-eye composite image ML.
- Fig. 13 is a flowchart showing the connection correction control operation.
- connection correction two steps of (1) a connection abnormality specifying process and (2) a bonding correction process are executed.
- the joint abnormality identification process the luminance values of the entire image and the composite image obtained from a plurality of single-eye images are compared, and a portion having a large difference in the luminance values (location where the joint abnormality occurs) is identified ( # 310). If it is determined that there is a joining abnormality (# 320), and it is judged that the joining abnormality is at a level that requires correction (# 330), a bonding correction process (a joining abnormality reducing process) is performed (# 340). .
- a joining abnormality reducing process is performed (# 340).
- the image processing unit has a moving image output function, a live view output function, and a still image output function, and performs image processing for outputting the composite image at the time of still image output. It is preferable to perform output using image information of the entire optical system.
- the photographing is usually performed after confirming the photographing state on a liquid crystal display or an organic EL (Organic Electro-Luminescence) display screen of the mobile device. At that time, in order to display the composite image of the single-eye optical system on the display screen, it is necessary to perform the composite operation at high speed.
- An image formed by the single-eye optical system is a single-eye image
- an image formed by the whole optical system is a whole image
- an area where the single-eye image is formed on the imaging surface of the image sensor is a single-eye.
- the gap between the individual eye area and the entire area is larger than the gap between the individual eye areas.
- the eccentricity of the single-eye optical system changes in the order of arrangement, interference between the single-eye optical systems can be easily avoided, but it is difficult to avoid interference between the single-eye optical system and the entire optical system. is there. For this reason, it is preferable to make the gap (for example, 2 mm) between the individual eye area and the entire area larger than the gap (for example, 0.2 mm) for each area of the individual eye optical system.
- the gap for example, 2 mm
- the overall optical system is less affected by crosstalk than a single-eye optical system, and a very good image can be obtained. it can.
- those other than the single-eye optical system having an optical axis perpendicular to the imaging surface have a free-form surface.
- a decentered optical system having at least one surface is preferable. In order to reduce the thickness of the field division type compound-eye optical system, decentration is necessary (to eliminate the need for an optical path changing prism that causes an increase in thickness). However, in the decentered optical system, it is necessary to correct aberrations satisfactorily for obliquely incident light.
- the single-eye optical system having an eccentric surface preferably has a free-form surface, other than the single-eye optical system having an optical axis perpendicular to the imaging surface It is further preferable that all the decentered lenses have two or more free-form surfaces.
- Conditional expression (1) defines a preferable condition for keeping the number of synthesized pixels high while having a necessary overlap.
- the number of the individual optical systems is three or more in the vertical and horizontal directions, and each of the individual optical systems forms an image in a field of view shifted in the vertical and horizontal directions in an array of 3 ⁇ 3 or more.
- an arrangement of at least 3 ⁇ 3 is required.
- FIG. 1 shows the first embodiment of the imaging apparatus
- FIG. 2 shows the first embodiment of the compound-eye optical system
- FIG. 3 shows the positions of the compound-eye optical system and the imaging region in the first embodiment. Show the relationship.
- the imaging device DU includes an imaging unit LU, an image processing unit 1, a calculation unit 2, a memory 3, and the like.
- the imaging unit LU includes one imaging element SR and a compound-eye optical system LH that performs a plurality of imaging with different fields of view on the imaging element SR.
- the image sensor SR for example, a solid-state image sensor such as a CCD image sensor or a CMOS image sensor having a plurality of pixels is used.
- the compound eye optical system LH is provided on the light receiving surface SS which is a photoelectric conversion unit of the image sensor SR so that an optical image of the subject is formed, the optical image formed by the compound eye optical system LH is captured. It is converted into an electrical signal by the element SR.
- the plurality of single-eye optical systems Ln And have.
- the single-eye optical system Ln and the entire optical system L0 are each composed of two lenses, an object-side lens and an image-side lens, and a first lens array plate LA1 in which a plurality of object-side lenses are integrally formed, and a plurality of lenses And a second lens array plate LA2 on which the image side lens is integrally formed.
- a cover glass CG of the imaging element SR is disposed on the image side of the second lens array plate LA2 as shown in FIG.
- An entire region P0 (P01 to P03) where the entire image Z0 is formed at L0 is shown as an imaging region.
- FIG. 3B a part (L13 to L15, L18 to L20, and L18) of a single-eye optical system Ln that forms a single-eye image Zn (FIGS. 1 and 2) in the single-eye region Pn (FIG. 3A). L23 to L25) and the entire optical system L0 (L01 to L03) for forming the entire image Z0 (FIGS.
- FIG. 3B shows a state in which the single-eye optical system Ln and the entire optical system L0 are viewed from above (for example, an elliptical shape is a decentered state of the lens system).
- 2 corresponds to a cross-sectional view taken along the line QQ ′ of FIG. 3B (one cross section in the V direction), but the single-eye optical system Ln has a vertically and laterally symmetrical arrangement, so FIG. ) Shows only the single-eye optical system Ln in 9 positions (L13 to L15, L18 to L20, L23 to L25).
- the single-eye optical system Ln and the single-eye region Pn have a corresponding arrangement of 5 ⁇ 5. Yes.
- the central single-eye optical system L13 forms an image of the subject central portion
- the peripheral single-eye optical system Ln (other than L13) forms an image of the subject peripheral portion.
- the angle of view of any single-eye optical system Ln is narrow.
- the single-eye optical system Ln has a two-lens configuration, and the central single-eye optical system L13 (optical axis AX perpendicular to the imaging surface SS) shown in FIG.
- the power arrangement is a positive / negative telephoto type.
- all four lens surfaces are free-form surfaces. With the configuration having four free-form surfaces, very good aberration performance can be realized.
- the optical axis AX is decentered in order to form the peripheral visual field, so that it is not necessary to use an optical path changing prism or the like.
- the thickness of all the single-eye optical systems Ln can be made the same, and the design on the same substrate becomes possible. Since the single-eye optical system Ln constituting the peripheral visual field makes light incident obliquely with respect to the imaging surface SS, it is preferable to have four free-form surfaces in order to obtain the same optical performance as the axially symmetric optical system.
- each of the three total optical systems L01 to L03 is a lens system (having an optical axis AX perpendicular to the imaging surface SS) that forms an image of the entire subject, and includes one single-eye optical system Ln. It has 5 times the angle of view.
- the compound eye optical system LH may include one or a plurality of total optical systems L0. If an attempt is made to arrange the entire optical system L0 together with the single-eye optical system Ln, there is a margin in space, so that a plurality of entire optical systems L0 can be arranged. For example, if a plurality of whole optical systems L0 are used, a plurality of images obtained thereby can be used for output of distance information and 3D images.
- the image processing unit 1 includes an image composition unit 1a, an image correction unit 1b, and an output image processing unit 1c.
- the image quality of the single-eye composite image ML to be restored is improved. That is, as described above, the image correction unit 1b specifies the crosstalk generated in the single-eye composite image ML and corrects the ghost so that it is not conspicuous, or the luminance distribution information of the entire image M0 of the entire optical system L0.
- the luminance distribution of the single-eye composite image ML is used for shading correction, or the joint distribution of the single-eye composite image ML is corrected using the image information M0 of the entire optical system L0. Further, distortion correction is performed as necessary.
- the output image processing unit 1c performs resolution conversion and image quality improvement using the entire image Z0 and outputs the entire image M0. Since the image processing unit 1 has a moving image output function, a live view output function, and a still image output function, the image processing unit 1 performs image processing for outputting the single-eye composite image ML when outputting a still image. At the time of live view output, the output image processing unit 1c performs output using image information of the entire optical system Ln.
- FIG. 4 shows the positional relationship between the compound eye optical system and the imaging region in the second embodiment so as to correspond to FIG. Since the second embodiment is configured to perform 4 ⁇ 3 field division, as can be seen from FIG. 4, the single-eye optical system Ln and the single-eye region Pn are arranged in a corresponding arrangement of 4 ⁇ 3. Yes. Since the single-eye optical system Ln does not exist at the center of all the single-eye regions Pn, all the single-eye optical systems Ln are decentered optical systems. Below the single-eye optical system Ln, two lens systems L01 and L02 having the same configuration as the entire optical system L0 are arranged.
- Each of the two whole optical systems L01 and L02 is a lens system (having an optical axis AX perpendicular to the imaging surface SS) that forms an image of the entire subject, and is composed of one single-eye optical system Ln. It has a field angle more than 4 times.
- the size of each region for example, if the number of pixels on the imaging surface SS is 16M pixels, 12M pixels can be used for the entire single eye region Pn, and the remaining 2M pixels can be used for each entire region P0.
- the entire optical systems L01 and L02 different parallax information can be obtained at the same angle of view, so that 3D image output, distance image output, and super-resolution image output may be performed. In this embodiment, since there are 2M pixels, it is also possible to output a 3D moving image with high-definition image quality.
- the configuration of the compound eye optical system embodying the present invention will be described more specifically with reference to construction data.
- the examples given here are numerical examples corresponding to the above-described first embodiment, and the optical configuration diagram (FIG. 2) representing the first embodiment of the compound-eye optical system LH is a corresponding numerical example.
- An example lens configuration, optical path, etc. are shown.
- Table 1 shows the area arrangement of the single-eye optical system Ln and the entire optical system L0 in this example.
- the single-eye optical system Ln is arranged at 5 ⁇ 5 positions, and the entire optical system L0 is arranged at three positions.
- the single-eye optical system Ln has a vertically and horizontally symmetrical arrangement, only 9 positions (C, V1, V2, H1, H2, D1, D2, VD, and HD) are shown.
- An aspherical surface that is rotationally symmetric about the optical axis AX is used for the single-eye optical system Ln (position: C) and the entire optical system L0 (position: Zentai) that are rotationally symmetric about the optical axis AX. It is defined by the following expression (AS) using a local orthogonal coordinate system (X, Y, Z) with the surface vertex as the origin.
- a free-form surface is used for the single-eye optical system Ln (position: V1, VD, D1, V2, D2, HD, H2, H1) that is a decentered optical system, and the free-form surface has its surface vertex as the origin.
- the aspheric coefficient is shown as aspheric data
- the free-form surface coefficient is shown as free-form surface data (where A (j, k) is expressed as X j ⁇ Y k ).
- V2 Unit mm Surface data Surface number C0 d Y Eccentric 1 1.0937088 0.228 0.000 2 0 0.305 0.011 3 0 0.065 0.011 4 1.2847229 0.764 0.022 5 0.5588239 0.119 0.210 6 0 0.300 0.210 7 0 0.050 0.210 8 -2.429775 0.150 0.338 9 0 0.500 0.445 10 0 0.050 0.445
- Position H1 (90 degree rotation) Unit: mm Surface data Surface number C0 d Y Eccentric 1 1.0256853 0.132 0.000 2 0 0.305 0.034 3 0 0.050 0.034 4 1.1274901 0.849 0.058 5 1.1551341 0.051 0.660 6 0 0.300 0.660 7 0 0.075 0.660 8 -2.401183 0.124 0.917 9 0 0.500 1.177 10 0 0.050 1.177
- Position H2 (90 degree rotation) Unit: mm Surface data Surface number C0 d Y Eccentric 1 0.8961863 0.246 0.000 2 0 0.305 0.018 3 0 0.050 0.018 4 1.2800572 0.789 0.033 5 1.204035 0.111 0.376 6 0 0.300 0.376 7 0 0.055 0.376 8 -2.297383 0.145 0.526 9 0 0.500 0.651 10 0 0.050 0.651
- Position HD (90 degree rotation) Unit: mm Surface data Surface number C0 d Y Eccentric X Eccentric 1 1.0415235 0.126 0.000 0.000 2 0 0.305 0.070 0.026 3 0 0.050 0.070 0.026 4 2.7137362 0.824 0.131 0.058 5 1.8378488 0.076 0.637 0.250 6 0 0.300 0.637 0.250 7 0 0.077 0.637 0.250 8 -2.419797 0.122 0.937 0.321 9 0 0.500 1.224 0.449 10 0 0.050 1.224 0.449
- Position D2 (90 degree rotation) Unit: mm Surface data Surface number C0 d Y Eccentric X Eccentric 1 -0.047356 0.153 0.000 0.000 2 0 0.305 0.029 0.024 3 0 0.050 0.029 0.024 4 2.8552766 0.843 0.058 0.050 5 2.3216459 0.058 0.353 0.265 6 0 0.300 0.353 0.265 7 0 0.053 0.353 0.265 8 -2.430046 0.147 0.452 0.313 9 0 0.500 0.603 0.398 10 0 0.050 0.603 0.398
- Aspheric coefficient 8th surface A4 1.401E + 00
- A6 1.055E + 01
- A8 -3.211E + 02
- A10 3.237E + 03
- A12 -1.658E + 04
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Abstract
Description
前記視野の異なる複数の像を撮像面上に形成する複数の個眼光学系と、前記複数の個眼光学系で得られる視野全体を包含する視野の像を前記撮像面上に形成する全体光学系と、を有しており、
複数のレンズが一体に形成されたレンズアレイプレートで、前記個眼光学系及び全体光学系が構成されていることを特徴とする。
前記複眼光学系が、前記視野の異なる複数の像を前記撮像素子の撮像面上に形成する複数の個眼光学系と、前記複数の個眼光学系で得られる視野全体を包含する視野の像を前記撮像面上に形成する全体光学系と、を有しており、
複数のレンズが一体に形成されたレンズアレイプレートで、前記個眼光学系及び全体光学系が構成されていることを特徴とする。
0.01<La/Lb<0.5 …(1)
ただし、
La:重なり量、
Lb:画面の重なる方向の幅、
である。
(1):個眼に入射した不要光が隣接センサー面に到達するため、クロストークや面間反射による迷光ゴーストが発生する。
(2):個々のレンズ系のシェーディングが個眼の偏心方向に関係して非対称になるため、貼り合わせの境界での輝度レベルの不一致が発生する。
(3):レンズの調整ズレや被写体距離の差によって理想状態とは異なる視差が発生するため、つなぎ合わせ部分のズレが発生する。
0.01<La/Lb<0.5 …(1)
ただし、
La:重なり量、
Lb:画面の重なる方向の幅、
である。
Z=(C0・h2)/[1+√{1-(1+K)・C02・h2}]+Σ{A(j,k)・Xj・Yk} …(FS)
ただし、
h:Z軸(光軸AX)に対して垂直な方向の高さ(h2=X2+Y2)、
Z:高さhの位置でのZ軸方向の変位量(面頂点基準)、
C0:面頂点での曲率(曲率半径の逆数)、
K:円錐定数、
Ai:i次の非球面係数、
A(j,k):Xのj次、Yのk次の自由曲面係数、
である。
Fno:3.2相当
個眼領域Pnの間隔d=0.2mm
個眼領域Pnと全体領域P0との間隔D=2mm
個眼領域Pn全体のサイズ:5.6mm×4.2mm
各個眼領域Pnのサイズ:1.07×0.79mm
各個眼領域Pnの画素数:Lb=743×543ピクセル(1.12μmピッチ)
各全体領域P0のサイズ:1.43mm×0.81mm
各全体領域P0の画素数:1280×720ピクセル
被写体の重なり画素数:La=40ピクセル(被写体距離:2m)
条件式(1):La/Lb=40/743=0.054
条件式(1):La/Lb=40/543=0.074
単位:mm
面データ
面番号 C0 d nd vd
1 1.534928 0.215 1.5178 56.1
2 0 0.305 1.5100 62.4
3 0 0.050 1.6020 28.6
4 0.7509255 0.850
5 -0.354405 0.050 1.6020 28.6
6 0 0.300 1.5100 62.4
7 0 0.050 1.5178 56.1
8 0.5121223 0.150
9 0 0.500 1.4714 66.02
10 0 0.050
第1面
A4 = 9.314E-03
A6 = 1.905E+00
A8 = -7.387E+00
A10= 7.279E+00
A12= 6.976E+01
A14= 5.992E+01
A16= -6.976E+02
A18= 0.000E+00
第4面
A4 = 2.155E-01
A6 = -1.015E+00
A8 = 1.017E+01
A10= 3.338E+01
A12= -5.537E+02
A14= -1.397E+03
A16= 9.251E+03
A18= 0.000E+00
第5面
A4 = -1.146E+00
A6 = 6.744E+00
A8 = -6.907E+01
A10= 2.998E+02
A12= 3.951E-05
A14= 3.461E-05
A16= 3.316E-05
A18= 0.000E+00
第8面
A4 = -1.468E+00
A6 = 1.973E+01
A8 = -3.199E+02
A10= 3.147E+03
A12= -1.691E+04
A14= 4.276E+04
A16= -2.996E+04
A18= 0.000E+00
単位:mm
面データ
面番号 C0 d Y偏心
1 0.9527951 0.198 0.000
2 0 0.305 0.044
3 0 0.050 0.044
4 1.2505431 0.826 0.077
5 1.3377381 0.074 0.484
6 0 0.300 0.484
7 0 0.058 0.484
8 -2.338101 0.142 0.699
9 0 0.500 0.890
10 0 0.050 0.890
第1面
Y = -3.953E-02 , X2 = 2.900E-01 , Y2 = 2.953E-01 ,
X2Y = 5.393E-03 , Y3 = 8.977E-03 , X4 = 3.088E-01 ,
X2Y2 = 6.843E-01 , Y4 = 2.743E-01 , X4Y = 2.576E-02 ,
X2Y3 = -6.297E-02 , Y5 = -1.055E-02 , X6 = 5.192E-01 ,
X4Y2 = 1.088E+00 , X2Y4 = 6.341E-01 , Y6 = 2.794E-01 ,
X6Y = 1.828E-01 , X4Y3 = -6.036E-01 , X2Y5 = 7.031E-02 ,
Y7 = 5.121E-01 , X8 = 3.359E-01 , X6Y2 = 3.933E+00 ,
X4Y4 = 1.816E+01 , X2Y6 = 1.070E+01 , Y8 = 5.975E-01 ,
X8Y = 1.097E-02 , X6Y3 = 6.167E+00 , X4Y5 = 7.030E+00 ,
X2Y7 = 7.967E-01 , Y9 = -5.618E-01 , X10 = 3.461E+00 ,
X8Y2 = 1.459E+01 , X6Y4 = -4.572E+01 , X4Y6 = -7.086E+01 ,
X2Y8 = -2.802E+01
第4面
Y = -5.516E-03 , X2 = -1.491E-01 , Y2 = -1.735E-01 ,
X2Y = 3.365E-01 , Y3 = 4.063E-01 , X4 = 2.486E-01 ,
X2Y2 = 9.696E-01 , Y4 = 3.255E-01 , X4Y = 8.729E-01 ,
X2Y3 = 1.784E+00 , Y5 = 9.510E-01 , X6 = 3.980E+00 ,
X4Y2 = 1.188E+01 , X2Y4 = 1.168E+01 , Y6 = 4.123E+00 ,
X6Y = 7.692E+00 , X4Y3 = 3.888E+00 , X2Y5 = 8.452E+00 ,
Y7 = 1.886E+00 , X8 = -3.478E+01 , X6Y2 = -1.315E+02 ,
X4Y4 = -2.233E+02 , X2Y6 = -1.491E+02 , Y8 = -4.374E+01 ,
X8Y = 4.733E+00 , X6Y3 = 1.695E+02 , X4Y5 = 2.768E+02 ,
X2Y7 = 1.064E+02 , Y9 = 3.424E+01 , X10 = 2.197E+02 ,
X8Y2 = 1.099E+03 , X6Y4 = 2.487E+03 , X4Y6 = 2.746E+03 ,
X2Y8 = 1.312E+03 , Y10 = 2.927E+02
第5面
Y = 2.497E-02 , X2 = -2.321E-01 , Y2 = -5.041E-01 ,
X2Y = -6.330E-01 , Y3 = -1.621E-01 , X4 = -1.808E+00 ,
X2Y2 = -1.465E+00 , Y4 = -1.278E+00 , X4Y = 2.683E-01 ,
X2Y3 = 2.795E+00 , Y5 = 2.758E-01 , X6 = 5.808E+00 ,
X4Y2 = 7.502E-01 , X2Y4 = 8.454E+00 , Y6 = 1.011E+01 ,
X6Y = 2.889E+00 , X4Y3 = 4.274E+00 , X2Y5 = -3.082E+00 ,
Y7 = 2.278E+01 , X8 = -5.127E+01 , X6Y2 = -1.478E+01 ,
X4Y4 = 6.967E+01 , X2Y6 = -1.326E+02 , Y8 = -8.045E+01 ,
X8Y = 4.752E+01 , X6Y3 = 7.582E+01 , X4Y5 = 8.368E+01 ,
X2Y7 = 1.474E+02 , Y9 = -6.233E+01 , X10 = 1.544E+02 ,
X8Y2 = 7.403E+01 , X6Y4 = -6.087E+02 , X4Y6 = -1.080E+02 ,
X2Y8 = 2.065E+02 , Y10 = 8.294E+01
第8面
Y = 1.224E-01 , X2 = 2.075E+00 , Y2 = 1.383E+00 ,
X2Y = -1.512E+00 , Y3 = -7.844E-01 , X4 = -1.540E+00 ,
X2Y2 = 3.547E+00 , Y4 = 1.814E+00 , X4Y = 1.920E+00 ,
X2Y3 = 4.295E+00 , Y5 = 7.072E+00 , X6 = 3.319E+01 ,
X4Y2 = 8.159E+01 , X2Y4 = 1.309E+01 , Y6 = 2.509E+01 ,
X6Y = -2.759E+01 , X4Y3 = 1.380E+01 , X2Y5 = -7.415E+01 ,
Y7 = 2.341E+01 , X8 = -2.258E+02 , X6Y2 = -8.530E+02 ,
X4Y4 = -6.766E+02 , X2Y6 = 9.905E+00 , Y8 = -2.225E+02 ,
X8Y = 1.344E+02 , X6Y3 = 1.638E+02 , X4Y5 = 1.627E+02 ,
X2Y7 = 8.391E+02 , Y9 = -1.233E+03 , X10 = 1.038E+03 ,
X8Y2 = 4.350E+03 , X6Y4 = 7.412E+03 , X4Y6 = 5.571E+03 ,
X2Y8 = 1.823E+03 , Y10 = -1.666E+03
単位:mm
面データ
面番号 C0 d Y偏心
1 1.0937088 0.228 0.000
2 0 0.305 0.011
3 0 0.065 0.011
4 1.2847229 0.764 0.022
5 0.5588239 0.119 0.210
6 0 0.300 0.210
7 0 0.050 0.210
8 -2.429775 0.150 0.338
9 0 0.500 0.445
10 0 0.050 0.445
第1面
Y = -2.084E-02 , X2 = 2.206E-01 , Y2 = 2.262E-01 ,
X2Y = -6.550E-02 , Y3 = -1.305E-02 , X4 = 2.369E-01 ,
X2Y2 = 6.352E-01 , Y4 = 2.219E-01 , X4Y = -7.399E-03 ,
X2Y3 = -1.586E-02 , Y5 = 6.438E-04 , X6 = 9.268E-02 ,
X4Y2 = 4.614E-01 , X2Y4 = 9.744E-01 , Y6 = 3.951E-01 ,
X6Y = -2.694E-01 , X4Y3 = -7.160E-01 , X2Y5 = -2.124E-01 ,
Y7 = 4.055E-01 , X8 = 1.929E+00 , X6Y2 = 8.739E+00 ,
X4Y4 = 1.386E+01 , X2Y6 = 6.597E+00 , Y8 = 1.099E+00 ,
X8Y = 5.560E-02 , X6Y3 = 2.631E-01 , X4Y5 = 3.563E+00 ,
X2Y7 = 9.587E-01 , Y9 = 6.218E-02 , X10 = 1.823E-01 ,
X8Y2 = 2.736E+00 , X6Y4 = 4.164E+00 , X4Y6 = 3.366E+00 ,
X2Y8 = -1.746E+00 , Y10 = -3.665E-02
第4面
Y = -1.011E-01 , X2 = -1.456E-01 , Y2 = -2.008E-01 ,
X2Y = -1.783E-01 , Y3 = 1.011E-01 , X4 = 3.027E-01 ,
X2Y2 = 1.578E+00 , Y4 = 4.006E-01 , X4Y = 6.951E-01 ,
X2Y3 = 1.078E+00 , Y5 = 5.638E-01 , X6 = -4.986E-01 ,
X4Y2 = -6.200E+00 , X2Y4 = -8.856E+00 , Y6 = -3.808E+00 ,
X6Y = -8.530E+00 , X4Y3 = -2.013E+01 , X2Y5 = -3.285E+00 ,
Y7 = 1.847E+00 , X8 = 1.750E+01 , X6Y2 = 1.164E+02 ,
X4Y4 = 2.235E+02 , X2Y6 = 1.354E+02 , Y8 = 3.227E+01 ,
X8Y = 1.458E+01 , X6Y3 = 2.008E+01 , X4Y5 = 7.803E+01 ,
X2Y7 = 1.545E+00 , Y9 = 2.166E+00 , X10 = 2.547E+00 ,
X8Y2 = 7.595E+01 , X6Y4 = 1.214E+02 , X4Y6 = 1.801E+02 ,
X2Y8 = 3.141E+01 , Y10 = 4.010E+00
第5面
Y = -1.687E-01 , X2 = 1.535E-01 , Y2 = -1.860E-01 ,
X2Y = -9.135E-01 , Y3 = -4.695E-01 , X4 = -1.810E+00 ,
X2Y2 = -1.126E+00 , Y4 = -2.371E+00 , X4Y = -1.979E-02 ,
X2Y3 = 1.917E+00 , Y5 = -6.368E-01 , X6 = 5.304E+00 ,
X4Y2 = 7.163E+00 , X2Y4 = -1.325E+00 , Y6 = 1.064E+01 ,
X6Y = 1.209E+00 , X4Y3 = -8.162E+00 , X2Y5 = -1.824E+01 ,
Y7 = 2.992E+01 , X8 = -4.385E+01 , X6Y2 = -5.348E+01 ,
X4Y4 = 7.966E+01 , X2Y6 = -9.465E+01 , Y8 = -1.803E+02 ,
X8Y = 5.740E+00 , X6Y3 = 2.414E+01 , X4Y5 = 2.081E+02 ,
X2Y7 = 1.190E+01 , Y9 = -2.409E+02 , X10 = 1.338E+02 ,
X8Y2 = -4.378E+01 , X6Y4 = -4.346E+02 , X4Y6 = -1.124E+01 ,
X2Y8 = 3.977E+02 , Y10 = 7.657E+02
第8面
Y = 1.089E-02 , X2 = 2.288E+00 , Y2 = 1.653E+00 ,
X2Y = -1.653E+00 , Y3 = -1.171E+00 , X4 = -1.421E+00 ,
X2Y2 = 3.507E+00 , Y4 = -8.067E-01 , X4Y = 1.342E+00 ,
X2Y3 = 5.001E+00 , Y5 = 5.026E+00 , X6 = 2.139E+01 ,
X4Y2 = 8.740E+01 , X2Y4 = 3.560E+01 , Y6 = 2.333E+01 ,
X6Y = 1.126E+01 , X4Y3 = -3.083E+01 , X2Y5 = -4.244E+01 ,
Y7 = 1.486E+01 , X8 = -1.213E+02 , X6Y2 = -8.605E+02 ,
X4Y4 = -8.703E+02 , X2Y6 = -3.927E+02 , Y8 = -1.100E+02 ,
X8Y = -1.495E+02 , X6Y3 = 2.230E+02 , X4Y5 = 1.423E+02 ,
X2Y7 = -8.262E+01 , Y9 = -1.953E+02 , X10 = 1.040E+03 ,
X8Y2 = 4.701E+03 , X6Y4 = 1.042E+04 , X4Y6 = 8.246E+03 ,
X2Y8 = 2.386E+03 , Y10 = 4.922E+02
単位:mm
面データ
面番号 C0 d Y偏心
1 1.0256853 0.132 0.000
2 0 0.305 0.034
3 0 0.050 0.034
4 1.1274901 0.849 0.058
5 1.1551341 0.051 0.660
6 0 0.300 0.660
7 0 0.075 0.660
8 -2.401183 0.124 0.917
9 0 0.500 1.177
10 0 0.050 1.177
第1面
X2 = 1.878E-01 , Y2 = 2.560E-01 , X2Y = 9.398E-02 ,
Y3 = 2.422E-02 , X4 = 1.978E-01 , X2Y2 = 5.271E-01 ,
Y4 = 2.698E-01 , X4Y = 1.753E-01 , X2Y3 = -1.102E-01 ,
Y5 = -8.201E-02 , X6 = 4.932E-01 , X4Y2 = 2.524E+00 ,
X2Y4 = 2.328E+00 , Y6 = 5.979E-01 , X6Y = 9.838E-01 ,
X4Y3 = 2.382E+00 , X2Y5 = 2.254E+00 , Y7 = 7.306E-01 ,
X8 = -1.251E+00 , X6Y2 = -1.299E+01 , X4Y4 = -6.919E+00 ,
X2Y6 = -4.075E-01 , Y8 = 6.251E-01 , X8Y = -2.588E-01 ,
X6Y3 = -1.171E+01 , X4Y5 = -5.330E+00 , X2Y7 = -1.499E+01 ,
Y9 = -3.378E+00 , X10 = 5.547E+00 , X8Y2 = 8.282E+01 ,
X6Y4 = 1.051E+02 , X4Y6 = 3.272E+01 , X2Y8 = 1.390E+01 ,
Y10 = 4.288E+00
第4面
Y = -1.836E-02 , X2 = -2.282E-01 , Y2 = -1.040E-01 ,
X2Y = 3.345E-01 , Y3 = 3.166E-01 , X4 = 1.474E-01 ,
X2Y2 = 1.166E+00 , Y4 = 5.338E-01 , X4Y = 1.013E+00 ,
X2Y3 = 1.265E+00 , Y5 = 1.009E+00 , X6 = 7.702E-01 ,
X4Y2 = 1.564E+00 , X2Y4 = 3.430E+00 , Y6 = 2.153E+00 ,
X6Y = -8.666E-01 , X4Y3 = 2.318E+01 , X2Y5 = -2.224E+01 ,
Y7 = -1.371E+01 , X8 = -9.248E+00 , X6Y2 = 4.404E+01 ,
X4Y4 = -7.762E+01 , X2Y6 = 9.306E+01 , Y8 = 2.650E+01 ,
X8Y = 4.393E+01 , X6Y3 = -2.438E+02 , X4Y5 = 4.339E+02 ,
X2Y7 = 1.837E+02 , Y9 = 3.982E+01 , X10 = 6.973E+01 ,
X8Y2 = 1.279E+02 , X6Y4 = 1.188E+03 , X4Y6 = 1.773E+02 ,
X2Y8 = -1.636E+02 , Y10 = 2.876E+01
第5面
Y = 1.531E-02 , X2 = -3.014E-01 , Y2 = -4.919E-01 ,
X2Y = -1.137E+00 , Y3 = -7.095E-01 , X4 = -1.872E+00 ,
X2Y2 = -1.305E+00 , Y4 = -6.717E-01 , X4Y = -4.863E-01 ,
X2Y3 = 1.200E-01 , Y5 = 3.202E+00 , X6 = 9.609E+00 ,
X4Y2 = 8.498E+00 , X2Y4 = 1.721E+01 , Y6 = 1.322E+01 ,
X6Y = 6.642E+00 , X4Y3 = 3.781E+01 , X2Y5 = 4.661E+01 ,
Y7 = -3.295E+00 , X8 = -1.542E+02 , X6Y2 = -1.858E+02 ,
X4Y4 = -5.229E+01 , X2Y6 = -1.536E+02 , Y8 = -1.130E+02 ,
X8Y = -1.576E+02 , X6Y3 = 4.519E+01 , X4Y5 = -1.965E+02 ,
X2Y7 = -1.658E+02 , Y9 = -2.307E+01 , X10 = 1.487E+02 ,
X8Y2 = -3.987E+01 , X6Y4 = 1.859E+03 , X4Y6 = 1.167E+02 ,
X2Y8 = 5.062E+02 , Y10 = 3.840E+02
第8面
Y = 6.015E-02 , X2 = 1.902E+00 , Y2 = 1.119E+00 ,
X2Y = -2.154E+00 , Y3 = -9.440E-01 , X4 = -9.126E-01 ,
X2Y2 = 3.146E+00 , Y4 = 2.758E+00 , X4Y = 1.115E+01 ,
X2Y3 = -1.215E+00 , Y5 = 4.054E+00 , X6 = 4.356E+01 ,
X4Y2 = 7.900E+01 , X2Y4 = 9.156E+01 , Y6 = 2.336E+01 ,
X6Y = -2.496E+02 , X4Y3 = -1.205E+02 , X2Y5 = 4.169E+01 ,
Y7 = -4.605E+00 , X8 = -3.491E+02 , X6Y2 = -3.246E+02 ,
X4Y4 = -1.386E+03 , X2Y6 = -6.821E+02 , Y8 = -1.972E+02 ,
X8Y = 1.558E+03 , X6Y3 = 2.074E+03 , X4Y5 = 1.703E+02 ,
X2Y7 = -1.205E+02 , Y9 = -1.067E+02 , X10 = -1.134E+03 ,
X8Y2 = -1.074E+03 , X6Y4 = 9.524E+03 , X4Y6 = 1.099E+04 ,
X2Y8 = 3.821E+03 , Y10 = 7.545E+02
単位:mm
面データ
面番号 C0 d Y偏心
1 0.8961863 0.246 0.000
2 0 0.305 0.018
3 0 0.050 0.018
4 1.2800572 0.789 0.033
5 1.204035 0.111 0.376
6 0 0.300 0.376
7 0 0.055 0.376
8 -2.297383 0.145 0.526
9 0 0.500 0.651
10 0 0.050 0.651
第1面
Y = -5.078E-02 , X2 = 3.242E-01 , Y2 = 3.152E-01 ,
X2Y = -5.128E-02 , Y3 = -2.492E-02 , X4 = 3.496E-01 ,
X2Y2 = 7.231E-01 , Y4 = 2.838E-01 , X4Y = -1.471E-01 ,
X2Y3 = -4.139E-01 , Y5 = -8.938E-02 , X6 = 2.285E-01 ,
X4Y2 = 8.105E-01 , X2Y4 = 1.082E+00 , Y6 = 3.792E-01 ,
X6Y = 2.305E-01 , X4Y3 = 1.410E+00 , X2Y5 = 2.366E+00 ,
Y7 = 4.282E-01 , X8 = 2.297E+00 , X6Y2 = 8.788E+00 ,
X4Y4 = 1.054E+01 , X2Y6 = 3.929E+00 , Y8 = 3.931E-01 ,
X8Y = -1.503E+00 , X6Y3 = -7.644E+00 , X4Y5 = -1.384E+01 ,
X2Y7 = -9.618E+00 , Y9 = -1.470E-01 , X10 = -4.389E-01 ,
X8Y2 = -2.649E+00 , X6Y4 = -7.282E+00 , X4Y6 = 4.790E+00 ,
X2Y8 = 3.937E-01 , Y10 = -8.379E-01
第4面
X2 = -1.385E-01 , Y2 = -2.145E-01 , X2Y = 6.643E-02 ,
Y3 = 2.117E-01 , X4 = 3.946E-01 , X2Y2 = 1.001E+00 ,
Y4 = 2.801E-01 , X4Y = 7.592E-01 , X2Y3 = 1.765E+00 ,
Y5 = 1.113E+00 , X6 = 1.566E+00 , X4Y2 = 3.966E+00 ,
X2Y4 = 8.273E-03 , Y6 = -2.182E+00 , X6Y = -6.261E+00 ,
X4Y3 = -9.409E+00 , X2Y5 = -9.576E+00 , Y7 = -5.572E-01 ,
X8 = 1.843E+00 , X6Y2 = -6.612E+00 , X4Y4 = -2.118E+01 ,
X2Y6 = 2.937E+01 , Y8 = 1.466E+01 , X8Y = 4.782E+01 ,
X6Y3 = 9.962E+01 , X4Y5 = 5.797E+01 , X2Y7 = 1.020E+02 ,
Y9 = 6.326E+00 , X10 = 6.155E+01 , X8Y2 = 3.681E+02 ,
X6Y4 = 1.017E+03 , X4Y6 = 9.708E+02 , X2Y8 = 7.952E+01 ,
Y10 = 2.287E+01 , BDX = 1.000E+00
第5面
Y = 9.872E-02 , X2 = -1.838E-01 , Y2 = -3.341E-01 ,
X2Y = -3.853E-01 , Y3 = -4.275E-02 , X4 = -1.458E+00 ,
X2Y2 = -1.521E+00 , Y4 = -1.517E+00 , X4Y = 6.682E-01 ,
X2Y3 = 3.317E+00 , Y5 = -3.804E-01 , X6 = 2.783E+00 ,
X4Y2 = 2.728E+00 , X2Y4 = 1.922E+00 , Y6 = 1.215E+01 ,
X6Y = -5.489E+00 , X4Y3 = -1.749E+01 , X2Y5 = -3.003E+01 ,
Y7 = 2.860E+01 , X8 = -1.607E+01 , X6Y2 = -3.411E+01 ,
X4Y4 = 1.109E+02 , X2Y6 = -4.523E+01 , Y8 = -1.373E+02 ,
X8Y = 5.569E+01 , X6Y3 = 1.623E+02 , X4Y5 = 2.493E+02 ,
X2Y7 = 2.063E+02 , Y9 = -1.485E+02 , X10 = 3.485E+01 ,
X8Y2 = 1.137E+02 , X6Y4 = -7.481E+02 , X4Y6 = -3.289E+02 ,
X2Y8 = -1.856E+01 , Y10 = 4.989E+02
第8面
Y = 1.349E-01 , X2 = 2.101E+00 , Y2 = 1.667E+00 ,
X2Y = -1.239E+00 , Y3 = -9.641E-01 , X4 = -1.628E+00 ,
X2Y2 = 1.335E+00 , Y4 = 2.472E-02 , X4Y = 1.902E+00 ,
X2Y3 = 5.411E+00 , Y5 = 8.720E+00 , X6 = 3.139E+01 ,
X4Y2 = 9.677E+01 , X2Y4 = 3.421E+01 , Y6 = 2.752E+01 ,
X6Y = -1.739E+01 , X4Y3 = -1.590E+01 , X2Y5 = -7.306E+01 ,
Y7 = -5.877E+01 , X8 = -2.290E+02 , X6Y2 = -9.219E+02 ,
X4Y4 = -8.638E+02 , X2Y6 = -2.809E+02 , Y8 = -2.947E+02 ,
X8Y = 1.932E+01 , X6Y3 = 2.877E+02 , X4Y5 = 3.685E+02 ,
X2Y7 = 3.789E+02 , Y9 = -1.345E+02 , X10 = 1.109E+03 ,
X8Y2 = 3.995E+03 , X6Y4 = 7.643E+03 , X4Y6 = 6.428E+03 ,
X2Y8 = 1.763E+03 , XY9 = -1.026E-03 , Y10 = 3.982E+02 ,
単位:mm
面データ
面番号 C0 d Y偏心 X偏心
1 -0.266211 0.229 0.000 0.000
2 0 0.305 0.042 0.055
3 0 0.050 0.042 0.055
4 2.4669029 0.836 0.084 0.113
5 2.6744631 0.064 0.350 0.420
6 0 0.300 0.350 0.420
7 0 0.051 0.350 0.420
8 -2.436125 0.149 0.458 0.631
9 0 0.500 0.598 0.826
10 0 0.050 0.598 0.826
第1面
X = 1.375E-02 , Y = -5.534E-02 , X2 = 7.099E-01 ,
XY = 1.694E-02 , Y2 = 7.242E-01 , X3 = 6.264E-02 ,
X2Y = 1.600E-01 , XY2 = 7.898E-02 , Y3 = 4.048E-02 ,
X4 = 1.819E-01 , X3Y = -1.005E-01 , X2Y2 = 2.315E-01 ,
XY3 = 1.246E-02 , Y4 = 1.429E-01 , X5 = 1.162E-01 ,
X4Y = 2.835E-01 , X3Y2 = 1.557E-01 , X2Y3 = 3.915E-01 ,
XY4 = 4.989E-02 , Y5 = 1.281E-01 , X6 = 2.824E-01 ,
X5Y = 8.154E-02 , X4Y2 = 3.890E-01 , X3Y3 = 3.163E-02 ,
X2Y4 = -9.571E-02 , XY5 = 1.295E-01 , Y6 = -1.917E-01 ,
X7 = 2.419E-01 , X6Y = 4.144E-01 , X5Y2 = 1.171E+00 ,
X4Y3 = 8.294E-01 , X3Y4 = 1.162E+00 , X2Y5 = 1.147E+00 ,
XY6 = 4.459E-01 , Y7 = 4.269E-01 , X8 = 1.221E-02 ,
X7Y = -1.301E+00 , X6Y2 = -7.667E-01 , X5Y3 = -1.401E+00 ,
X4Y4 = 4.267E-01 , X3Y5 = -1.677E+00 , X2Y6 = 8.698E-01 ,
XY7 = -4.053E-01 , Y8 = 5.050E-01
第4面
X = -4.899E-03 , Y = -2.729E-02 , X2 = -1.031E+00 ,
XY = 4.676E-02 , Y2 = -1.009E+00 , X3 = 2.586E-01 ,
X2Y = 6.027E-01 , XY2 = 3.057E-01 , Y3 = 2.613E-01 ,
X4 = -1.501E+00 , X3Y = 3.976E-01 , X2Y2 = -3.296E+00 ,
XY3 = 5.853E-01 , Y4 = -1.870E+00 , X5 = 3.919E-01 ,
X4Y = 4.691E-01 , X3Y2 = 4.830E-01 , X2Y3 = 8.431E-01 ,
XY4 = 3.906E-01 , Y5 = 3.248E-01 , X6 = -1.516E+00 ,
X5Y = 2.955E-01 , X4Y2 = -5.904E+00 , X3Y3 = -1.422E+00 ,
X2Y4 = -5.865E+00 , XY5 = -5.575E-01 , Y6 = -1.026E+00 ,
X7 = 5.910E+00 , X6Y = 1.246E+01 , X5Y2 = 1.817E+01 ,
X4Y3 = 1.926E+01 , X3Y4 = 1.629E+01 , X2Y5 = 1.444E+01 ,
XY6 = 4.713E+00 , Y7 = 2.684E+00 , X8 = -4.966E+01 ,
X7Y = 1.958E+01 , X6Y2 = -2.067E+02 , X5Y3 = 7.242E+01 ,
X4Y4 = -3.189E+02 , X3Y5 = 5.889E+01 , X2Y6 = -2.357E+02 ,
XY7 = 1.700E+01 , Y8 = -6.746E+01
第5面
X = -9.377E-02 , Y = -3.666E-02 , X2 = -1.600E+00 ,
XY = -3.212E-01 , Y2 = -1.120E+00 , X3 = -1.435E+00 ,
X2Y = 2.684E-01 , XY2 = -1.009E+00 , Y3 = -4.916E-01 ,
X4 = -2.793E+00 , X3Y = 1.634E+00 , X2Y2 = -5.274E+00 ,
XY3 = 1.204E+00 , Y4 = -3.730E+00 , X5 = -6.266E+00 ,
X4Y = 1.955E+00 , X3Y2 = 3.720E+00 , X2Y3 = 6.396E+00 ,
XY4 = -5.747E-01 , Y5 = -1.104E-01 , X6 = -3.591E+01 ,
X5Y = -3.426E+01 , X4Y2 = -1.036E+02 , X3Y3 = 5.339E+00 ,
X2Y4 = -1.146E+02 , XY5 = 1.423E+01 , Y6 = -1.257E+01 ,
X7 = 9.898E+01 , X6Y = 5.286E+01 , X5Y2 = -1.634E+02 ,
X4Y3 = -6.610E+00 , X3Y4 = -1.399E+02 , X2Y5 = -5.663E+01 ,
XY6 = -1.982E+00 , Y7 = 1.376E+01 , X8 = 2.603E+02 ,
X7Y = 7.246E+02 , X6Y2 = 1.257E+03 , X5Y3 = 6.147E+02 ,
X4Y4 = 2.040E+03 , X3Y5 = -2.834E+02 , X2Y6 = 1.477E+03 ,
XY7 = -2.169E+02 , Y8 = 4.546E+01 , X9 = -2.940E+02 ,
X8Y = 4.605E+02 , X7Y2 = 1.796E+03 , X6Y3 = -2.795E+02 ,
X5Y4 = 2.395E+03 , X4Y5 = 7.214E+02 , X3Y6 = 7.905E+02 ,
X2Y7 = 4.812E+02 , XY8 = 6.343E+01 , Y9 = -1.217E+02 ,
X10 = 1.099E+03 , X9Y = -6.552E+03 , X8Y2 = -9.861E+03 ,
X7Y3 = -5.314E+03 , X6Y4 = -1.874E+04 , X5Y5 = -2.739E+03 ,
X4Y6 = -2.349E+04 , X3Y7 = 3.458E+03 , X2Y8 = -1.151E+04 ,
XY9 = 1.035E+03 , Y10 = -1.245E+03
第8面
X = 2.319E-02 , Y = -3.883E-02 , X2 = 1.082E+00 ,
XY = -5.916E-01 , Y2 = 1.898E+00 , X3 = -1.148E+00 ,
X2Y = 4.250E-01 , XY2 = -8.305E-01 , Y3 = -8.039E-01 ,
X4 = 1.958E-01 , X3Y = 7.084E-01 , X2Y2 = 7.607E-01 ,
XY3 = 3.926E+00 , Y4 = -7.230E-01 , X5 = -2.540E+00 ,
X4Y = -2.536E+00 , X3Y2 = 3.753E+00 , X2Y3 = 1.820E-01 ,
XY4 = -5.276E+00 , Y5 = 1.820E+00 , X6 = 5.354E+01 ,
X5Y = -3.426E+01 , X4Y2 = 1.130E+02 , X3Y3 = -1.816E+01 ,
X2Y4 = 1.022E+02 , XY5 = -2.632E+01 , Y6 = 2.764E+01 ,
X7 = 1.322E+02 , X6Y = 6.265E+01 , X5Y2 = -2.159E+02 ,
X4Y3 = -5.115E+00 , X3Y4 = 9.243E+00 , X2Y5 = 1.479E+00 ,
XY6 = -2.034E-01 , Y7 = -2.813E+01 , X8 = -1.643E+02 ,
X7Y = 9.771E+02 , X6Y2 = -1.964E+03 , X5Y3 = 2.911E+02 ,
X4Y4 = -1.665E+03 , X3Y5 = 1.221E+02 , X2Y6 = -1.126E+03 ,
XY7 = 3.180E+02 , Y8 = -2.300E+01 , X9 = -8.717E+02 ,
X8Y = -6.154E+02 , X7Y2 = 2.102E+03 , X6Y3 = 1.094E+03 ,
X5Y4 = 6.049E+02 , X4Y5 = -2.400E+02 , X3Y6 = -1.481E+02 ,
X2Y7 = 8.528E+01 , XY8 = 2.831E+02 , Y9 = 1.879E+02 ,
X10 = 1.613E+02 , X9Y = -9.666E+03 , X8Y2 = 1.775E+04 ,
X7Y3 = -7.887E+02 , X6Y4 = 1.528E+04 , X5Y5 = -5.540E+02 ,
X4Y6 = 1.419E+04 , X3Y7 = -4.282E+02 , X2Y8 = 6.457E+03 ,
XY9 = -1.717E+03 , Y10 = -6.457E+02
単位:mm
面データ
面番号 C0 d Y偏心 X偏心
1 1.0415235 0.126 0.000 0.000
2 0 0.305 0.070 0.026
3 0 0.050 0.070 0.026
4 2.7137362 0.824 0.131 0.058
5 1.8378488 0.076 0.637 0.250
6 0 0.300 0.637 0.250
7 0 0.077 0.637 0.250
8 -2.419797 0.122 0.937 0.321
9 0 0.500 1.224 0.449
10 0 0.050 1.224 0.449
第1面
X = -5.185E-02 , Y = -5.740E-02 , X2 = 1.564E-01 ,
XY = 3.343E-04 , Y2 = 2.398E-01 , X3 = 3.315E-03 ,
X2Y = 6.227E-03 , XY2 = -2.085E-02 , Y3 = -2.702E-03 ,
X4 = 6.977E-02 , X3Y = -1.256E-03 , X2Y2 = 4.834E-01 ,
XY3 = -8.799E-02 , Y4 = 2.128E-01 , X5 = 1.500E-01 ,
X4Y = 1.049E-01 , X3Y2 = -7.849E-02 , X2Y3 = -2.823E-02 ,
XY4 = -6.626E-02 , Y5 = 4.489E-03 , X6 = 3.434E-01 ,
X5Y = -1.540E-01 , X4Y2 = 8.976E-01 , X3Y3 = -7.423E-01 ,
X2Y4 = 1.798E+00 , XY5 = -5.831E-01 , Y6 = 5.972E-01 ,
X7 = 5.605E-01 , X6Y = -2.909E-01 , X5Y2 = 1.293E+00 ,
X4Y3 = 5.382E+00 , X3Y4 = -8.709E-01 , X2Y5 = -1.086E+00 ,
XY6 = 1.269E+00 , Y7 = -2.145E-01 , X8 = -7.711E-01 ,
X7Y = -3.084E+00 , X6Y2 = -2.073E+01 , X5Y3 = -8.402E+00 ,
X4Y4 = -5.062E+01 , X3Y5 = 8.011E+00 , X2Y6 = -2.683E+01 ,
XY7 = -1.805E+00 , Y8 = -2.439E+00 , X9 = 2.249E+00 ,
X8Y = 6.271E+00 , X7Y2 = -1.184E+01 , X6Y3 = -5.306E+01 ,
X5Y4 = 1.103E+01 , X4Y5 = -1.338E+01 , X3Y6 = 1.341E+01 ,
X2Y7 = 4.624E+01 , XY8 = -6.880E+00 , Y9 = 6.965E+00 ,
X10 = -1.647E+01 , X9Y = 1.264E+01 , X8Y2 = 1.869E+02 ,
X7Y3 = 1.260E+02 , X6Y4 = 7.111E+02 , X5Y5 = -2.391E+00 ,
X4Y6 = 5.976E+02 , X3Y7 = -4.830E+01 , X2Y8 = 1.480E+02 ,
XY9 = 3.442E+01 , Y10 = 3.118E+00
第4面
Y = -1.680E-02 , X2 = -1.025E+00 , XY = 4.119E-02 ,
Y2 = -8.690E-01 , X3 = 1.640E-01 , X2Y = 3.402E-01 ,
XY2 = 1.915E-01 , Y3 = 5.069E-01 , X4 = -2.446E+00 ,
X3Y = 2.340E-01 , X2Y2 = -3.681E+00 , XY3 = -1.642E-02 ,
Y4 = -1.730E+00 , X5 = 6.306E-01 , X4Y = 2.426E+00 ,
X3Y2 = 4.623E-01 , X2Y3 = 2.580E+00 , XY4 = -7.551E-02 ,
Y5 = 6.180E-01 , X6 = -4.787E+00 , X5Y = 7.592E-01 ,
X4Y2 = -2.453E+01 , X3Y3 = 2.788E+00 , X2Y4 = -2.626E+01 ,
XY5 = -1.114E+00 , Y6 = -8.271E+00 , X7 = 1.080E+00 ,
X6Y = -5.211E+01 , X5Y2 = -4.170E-01 , X4Y3 = -3.794E+01 ,
X3Y4 = 1.744E+01 , X2Y5 = 4.910E+00 , XY6 = 1.145E+01 ,
Y7 = 2.032E+01 , X8 = -8.131E+01 , X7Y = 2.452E+01 ,
X6Y2 = -7.994E+01 , X5Y3 = -1.034E+02 , X4Y4 = -1.579E+02 ,
X3Y5 = -7.070E+01 , X2Y6 = 7.324E+01 , XY7 = -1.309E+01 ,
Y8 = -4.040E+00 , X9 = 2.786E+01 , X8Y = 6.013E+02 ,
X7Y2 = 1.959E+02 , X6Y3 = 8.620E+02 , X5Y4 = -6.561E+01 ,
X4Y5 = 6.569E+02 , X3Y6 = -2.710E+02 , X2Y7 = 1.592E+02 ,
XY8 = -1.469E+02 , Y9 = -1.115E+02 , X10 = -2.883E+02 ,
X9Y = -3.923E+02 , X8Y2 = -4.066E+03 , X7Y3 = 2.350E+02 ,
X6Y4 = -3.580E+03 , X5Y5 = 2.586E+03 , X4Y6 = -6.822E+03 ,
X3Y7 = 4.795E+02 , X2Y8 = -4.836E+03 , XY9 = 5.074E+02 ,
Y10 = -4.879E+02
第5面
Y = -1.200E-01 , X2 = -5.991E-01 , XY = 3.956E-02 ,
Y2 = -8.312E-01 , X3 = -1.645E-01 , X2Y = -1.262E+00 ,
XY2 = 4.011E-01 , Y3 = -5.793E-01 , X4 = -2.964E+00 ,
X3Y = 8.447E-01 , X2Y2 = -2.988E+00 , XY3 = 4.505E-01 ,
Y4 = -1.957E+00 , X5 = -8.282E-01 , X4Y = -1.741E+00 ,
X3Y2 = 3.807E-01 , X2Y3 = 2.135E+00 , XY4 = 8.634E-01 ,
Y5 = 1.501E+00 , X6 = 1.003E+01 , X5Y = 7.913E-01 ,
X4Y2 = 1.025E+01 , X3Y3 = 1.247E+01 , X2Y4 = 1.342E+01 ,
XY5 = 1.541E+00 , Y6 = 1.309E+01 , X7 = 2.100E+01 ,
X6Y = 2.226E+01 , X5Y2 = 3.391E+01 , X4Y3 = 1.558E+01 ,
X3Y4 = 3.105E+00 , X2Y5 = 2.382E+01 , XY6 = 5.916E+00 ,
Y7 = -3.586E+00 , X8 = -1.006E+02 , X7Y = -1.095E+01 ,
X6Y2 = -2.419E+02 , X5Y3 = 1.350E+01 , X4Y4 = -2.254E+02 ,
X3Y5 = 6.799E-01 , X2Y6 = -2.469E+02 , XY7 = 7.454E+00 ,
Y8 = -1.275E+02 , X9 = 7.505E+01 , X8Y = -1.092E+02 ,
X7Y2 = -6.000E+01 , X6Y3 = -8.692E+01 , X5Y4 = -6.846E+00 ,
X4Y5 = -1.270E+02 , X3Y6 = 1.207E+01 , X2Y7 = -1.390E+02 ,
XY8 = 3.464E+01 , Y9 = 1.163E+01 , X10 = 6.123E+01 ,
X9Y = 8.967E+02 , X8Y2 = -3.488E+02 , X7Y3 = -5.052E+02 ,
X6Y4 = 1.241E+03 , X5Y5 = -5.379E+02 , X4Y6 = 1.069E+03 ,
X3Y7 = -2.135E+02 , X2Y8 = 7.053E+02 , XY9 = -3.848E+01 ,
Y10 = 3.955E+02
第8面
X2 = 1.959E+00 , XY = -1.508E-01 , Y2 = 1.211E+00 ,
X3 = -3.859E-01 , X2Y = -2.238E+00 , XY2 = 6.912E-01 ,
Y3 = -1.105E+00 , X4 = -2.444E+00 , X3Y = 1.212E+00 ,
X2Y2 = 3.967E+00 , XY3 = -2.600E-02 , Y4 = 1.631E+00 ,
X5 = -6.429E-01 , X4Y = 4.968E+00 , X3Y2 = 1.246E+00 ,
X2Y3 = -2.948E-01 , XY4 = 1.649E+00 , Y5 = 2.699E+00 ,
X6 = 4.680E+01 , X5Y = 3.227E+00 , X4Y2 = 8.455E+01 ,
X3Y3 = 1.903E+00 , X2Y4 = 9.123E+01 , XY5 = 3.318E+00 ,
Y6 = 1.904E+01 , X7 = 9.566E+00 , X6Y = -1.944E+02 ,
X5Y2 = -2.034E+00 , X4Y3 = -6.620E+01 , X3Y4 = 2.015E+01 ,
X2Y5 = 4.157E+01 , XY6 = 6.231E+00 , Y7 = -1.327E+01 ,
X8 = -1.610E+02 , X7Y = -3.066E+01 , X6Y2 = -3.407E+02 ,
X5Y3 = -1.603E+01 , X4Y4 = -1.279E+03 , X3Y5 = 1.097E+01 ,
X2Y6 = -9.849E+02 , XY7 = 3.058E+01 , Y8 = -2.100E+02 ,
X9 = 3.779E+02 , X8Y = 1.457E+03 , X7Y2 = 6.346E+02 ,
X6Y3 = 1.397E+03 , X5Y4 = -7.076E+01 , X4Y5 = -2.317E+00 ,
X3Y6 = -2.093E+02 , X2Y7 = -2.141E+02 , XY8 = 6.833E+01 ,
Y9 = -4.904E+01 , X10 = -2.890E+02 , X9Y = -1.236E+03 ,
X8Y2 = -2.272E+03 , X7Y3 = -1.840E+03 , X6Y4 = 7.906E+03 ,
X5Y5 = 7.324E+02 , X4Y6 = 1.060E+04 , X3Y7 = -1.234E+02 ,
X2Y8 = 5.755E+03 , XY9 = -1.060E+02 , Y10 = 9.897E+02
単位:mm
面データ
面番号 C0 d Y偏心 X偏心
1 0.8509305 0.156 0.000 0.000
2 0 0.305 0.056 0.062
3 0 0.035 0.056 0.062
4 3.03846 0.872 0.120 0.129
5 2.066558 0.050 0.679 0.607
6 0 0.300 0.679 0.607
7 0 0.094 0.679 0.607
8 -2.391376 0.102 0.930 0.655
9 0 0.500 1.169 0.835
10 0 0.050 1.169 0.835
第1面
X = -1.332E-01 , Y = -5.273E-02 , X2 = 1.481E-01 ,
XY = 5.171E-05 , Y2 = 2.364E-01 , X3 = -3.973E-05 ,
X2Y = 2.215E-02 , XY2 = 4.181E-04 , Y3 = 8.330E-03 ,
X4 = 1.059E-01 , X3Y = 7.962E-04 , X2Y2 = 5.188E-01 ,
XY3 = 3.031E-03 , Y4 = 2.135E-01 , X5 = -1.426E-04 ,
X4Y = -8.646E-02 , X3Y2 = 3.051E-03 , X2Y3 = -6.310E-02 ,
XY4 = -9.572E-03 , Y5 = 1.490E-01 , X6 = 4.921E-01 ,
X5Y = 2.246E-02 , X4Y2 = 2.064E+00 , X3Y3 = 1.799E-02 ,
X2Y4 = 2.224E+00 , XY5 = -3.816E-02 , Y6 = 5.927E-01 ,
X7 = 6.678E-04 , X6Y = 7.171E-01 , X5Y2 = -3.800E-02 ,
X4Y3 = -7.353E-01 , X3Y4 = 1.386E-01 , X2Y5 = -1.834E+00 ,
XY6 = 4.722E-02 , Y7 = -4.578E-01 , X8 = -3.851E+00 ,
X7Y = -3.278E-01 , X6Y2 = -1.128E+01 , X5Y3 = -5.266E-03 ,
X4Y4 = -1.464E+01 , X3Y5 = -1.031E+00 , X2Y6 = -1.340E+01 ,
XY7 = 5.227E-02 , Y8 = -2.628E+00 , X9 = 3.096E-02 ,
X8Y = 1.792E+01 , X7Y2 = -1.206E+00 , X6Y3 = 5.553E+01 ,
X5Y4 = -1.963E+00 , X4Y5 = 4.062E+01 , X3Y6 = 4.309E+00 ,
X2Y7 = -9.256E+00 , XY8 = 6.265E-01 , Y9 = 3.247E-01 ,
X10 = 1.153E+01 , X9Y = -6.218E+00 , X8Y2 = 7.569E+01 ,
X7Y3 = -1.225E+01 , X6Y4 = 7.654E+01 , X5Y5 = -3.033E+01 ,
X4Y6 = 1.818E+02 , X3Y7 = 3.217E+00 , X2Y8 = 4.423E+01
第4面
X = -5.759E-02 , Y = -3.142E-02 , X2 = -1.299E+00 ,
XY = 3.179E-02 , Y2 = -1.175E+00 , X3 = 2.674E-01 ,
X2Y = -2.538E-02 , XY2 = 2.919E-01 , Y3 = 3.291E-01 ,
X4 = -4.311E+00 , X3Y = -1.516E-01 , X2Y2 = -5.115E+00 ,
XY3 = 2.811E-01 , Y4 = -2.863E+00 , X5 = -1.191E+00 ,
X4Y = 1.460E+01 , X3Y2 = 4.597E-01 , X2Y3 = 4.363E+00 ,
XY4 = -4.809E-01 , Y5 = -5.224E-01 , X6 = -4.041E-01 ,
X5Y = 1.352E+01 , X4Y2 = -6.446E+01 , X3Y3 = -1.204E+01 ,
X2Y4 = -9.235E+01 , XY5 = -5.247E+00 , Y6 = -1.307E+01 ,
X7 = -3.142E-03 , X6Y = -3.244E+02 , X5Y2 = -9.404E-02 ,
X4Y3 = 6.440E+00 , X3Y4 = 9.249E+01 , X2Y5 = -4.700E+01 ,
XY6 = 3.748E+01 , Y7 = 3.975E+01 , X8 = -1.627E+01 ,
X7Y = 7.570E-02 , X6Y2 = 5.417E+01 , X5Y3 = -5.144E-01 ,
X4Y4 = -1.216E+03 , X3Y5 = -5.523E-03 , X2Y6 = 1.829E+02 ,
XY7 = -3.215E-03 , Y8 = -2.518E+02 , X9 = -1.674E-01 ,
X8Y = 2.947E+01 , X7Y2 = 1.318E-01 , X6Y3 = -1.942E+02 ,
X5Y4 = 1.305E+00 , X4Y5 = 1.015E+02 , X3Y6 = 4.296E-01 ,
X2Y7 = -5.385E+01 , XY8 = -1.065E-01 , Y9 = -1.769E+02 ,
X10 = 1.333E+02 , X9Y = 5.210E+00 , X8Y2 = -2.898E+02 ,
X7Y3 = -1.806E+01 , X6Y4 = 5.520E+02 , X5Y5 = 2.873E+00 ,
X4Y6 = 1.884E+02 , X3Y7 = 7.997E-01 , X2Y8 = -3.562E+02 ,
XY9 = -3.939E-01 , Y10 = -3.786E+01
第5面
X = 6.069E-02 , Y = -9.042E-02 , X2 = -7.967E-01 ,
XY = -1.023E-01 , Y2 = -1.100E+00 , X3 = -4.248E-01 ,
X2Y = -1.195E+00 , XY2 = 4.263E-01 , Y3 = -6.982E-01 ,
X4 = -4.930E+00 , X3Y = -5.400E-01 , X2Y2 = -3.295E+00 ,
XY3 = 1.480E+00 , Y4 = -7.855E-01 , X5 = -1.384E+00 ,
X4Y = -3.968E+00 , X3Y2 = -3.572E+00 , X2Y3 = 1.530E+00 ,
XY4 = -2.599E+00 , Y5 = 4.053E+00 , X6 = 3.270E+01 ,
X5Y = -2.233E+00 , X4Y2 = 4.741E+00 , X3Y3 = -1.747E+01 ,
X2Y4 = 4.620E+00 , XY5 = -2.445E-03 , Y6 = -6.190E+00 ,
X7 = 2.556E-02 , X6Y = 2.117E+01 , X5Y2 = -1.112E+02 ,
X4Y3 = -4.277E+01 , X3Y4 = 9.229E+01 , X2Y5 = 2.923E+01 ,
XY6 = 8.418E-02 , Y7 = -6.401E+01 , X8 = -3.353E+02 ,
X7Y = 3.465E-02 , X6Y2 = -6.826E+02 , X5Y3 = 3.525E-01 ,
X4Y4 = -1.440E+02 , X3Y5 = -1.216E-01 , X2Y6 = -2.287E+02 ,
XY7 = -2.559E+01 , Y8 = -6.273E+01 , X9 = 2.381E-03 ,
X8Y = -2.438E+02 , X7Y2 = -5.061E-01 , X6Y3 = -8.200E+01 ,
X5Y4 = -3.359E-01 , X4Y5 = -1.266E+02 , X3Y6 = 1.617E+00 ,
X2Y7 = -2.208E+02 , XY8 = 1.967E-01 , Y9 = 3.739E+02 ,
X10 = 1.281E+03 , X9Y = -2.271E+00 , X8Y2 = 8.767E+02 ,
X7Y3 = 1.862E+00 , X6Y4 = 1.968E+03 , X5Y5 = 2.385E+00 ,
X4Y6 = 1.282E+03 , X3Y7 = -2.724E+00 , X2Y8 = 1.031E+03 ,
XY9 = -1.000E+00 , Y10 = 3.599E+02
第8面
X = -4.283E-04 , Y = -3.215E-02 , X2 = 2.003E+00 ,
XY = -1.209E-04 , Y2 = 1.165E+00 , X3 = -2.680E-04 ,
X2Y = -1.932E+00 , XY2 = -1.084E-03 , Y3 = -8.510E-01 ,
X4 = -2.891E+00 , X3Y = 3.983E-03 , X2Y2 = 3.601E+00 ,
XY3 = 1.714E-03 , Y4 = 2.321E+00 , X5 = 6.120E-03 ,
X4Y = 2.694E+00 , X3Y2 = -1.465E-02 , X2Y3 = -2.248E+00 ,
XY4 = 7.988E-03 , Y5 = 2.223E+00 , X6 = 4.380E+01 ,
X5Y = 1.008E-02 , X4Y2 = 6.944E+01 , X3Y3 = 6.270E-02 ,
X2Y4 = 9.703E+01 , XY5 = 6.229E-02 , Y6 = 2.004E+01 ,
X7 = 8.757E-02 , X6Y = -1.995E+02 , X5Y2 = -2.734E-01 ,
X4Y3 = -5.042E+01 , X3Y4 = 4.367E-01 , X2Y5 = 7.235E+01 ,
XY6 = -1.257E-01 , Y7 = -1.632E+01 , X8 = -2.139E+02 ,
X7Y = 1.709E+00 , X6Y2 = -3.154E+02 , X5Y3 = -5.113E-01 ,
X4Y4 = -1.261E+03 , X3Y5 = 8.526E-01 , X2Y6 = -1.030E+03 ,
XY7 = -1.094E+00 , Y8 = -2.169E+02 , X9 = 6.529E-01 ,
X8Y = 1.718E+03 , X7Y2 = -5.369E+00 , X6Y3 = 1.646E+03 ,
X5Y4 = 3.031E+00 , X4Y5 = -6.258E+02 , X3Y6 = -7.979E-01 ,
X2Y7 = -2.917E+02 , XY8 = -5.399E-01 , Y9 = -4.715E+01 ,
X10 = -1.480E+03 , X9Y = -1.136E+01 , X8Y2 = -2.847E+03 ,
X7Y3 = -2.218E+01 , X6Y4 = 7.360E+03 , X5Y5 = -4.795E+00 ,
X4Y6 = 1.130E+04 , X3Y7 = 1.360E+01 , X2Y8 = 5.383E+03 ,
XY9 = -2.840E+00 , Y10 = 8.617E+02
単位:mm
面データ
面番号 C0 d Y偏心 X偏心
1 -0.047356 0.153 0.000 0.000
2 0 0.305 0.029 0.024
3 0 0.050 0.029 0.024
4 2.8552766 0.843 0.058 0.050
5 2.3216459 0.058 0.353 0.265
6 0 0.300 0.353 0.265
7 0 0.053 0.353 0.265
8 -2.430046 0.147 0.452 0.313
9 0 0.500 0.603 0.398
10 0 0.050 0.603 0.398
第1面
X = -2.193E-02 , Y = -2.430E-02 , X2 = 8.033E-01 ,
XY = 2.515E-04 , Y2 = 8.209E-01 , X3 = -3.260E-02 ,
X2Y = 8.736E-02 , XY2 = 3.878E-02 , Y3 = 1.322E-02 ,
X4 = 4.957E-01 , X3Y = -7.800E-02 , X2Y2 = 9.530E-01 ,
XY3 = -1.130E-01 , Y4 = 4.506E-01 , X5 = -7.723E-02 ,
X4Y = 1.447E-01 , X3Y2 = -1.608E-01 , X2Y3 = 5.339E-02 ,
XY4 = 4.030E-02 , Y5 = -2.232E-02 , X6 = 1.364E+00 ,
X5Y = 1.574E+00 , X4Y2 = 7.622E-01 , X3Y3 = 3.426E+00 ,
X2Y4 = 2.311E+00 , XY5 = 1.316E+00 , Y6 = 2.146E+00 ,
X7 = 4.344E-01 , X6Y = 5.468E-01 , X5Y2 = 1.906E+00 ,
X4Y3 = 3.345E+00 , X3Y4 = 2.089E+00 , X2Y5 = 3.331E+00 ,
XY6 = 1.018E+00 , Y7 = 5.358E-01 , X8 = -5.938E+00 ,
X7Y = -1.453E+01 , X6Y2 = 1.445E+01 , X5Y3 = -5.252E+01 ,
X4Y4 = 1.915E+01 , X3Y5 = -5.023E+01 , X2Y6 = -1.004E+01 ,
XY7 = -1.160E+01 , Y8 = -1.141E+01 , X9 = -2.097E+00 ,
X8Y = -3.398E-02 , X7Y2 = -1.010E+01 , X6Y3 = -5.287E+00 ,
X5Y4 = -1.649E+01 , X4Y5 = -2.073E+01 , X3Y6 = -8.978E+00 ,
X2Y7 = -1.216E+01 , XY8 = -3.179E+00 , Y9 = -2.073E+00 ,
X10 = 2.996E+01 , X9Y = 3.615E+01 , X8Y2 = 1.127E+01 ,
X7Y3 = 1.904E+02 , X6Y4 = -1.879E+01 , X5Y5 = 2.964E+02 ,
X4Y6 = 4.204E+01 , X3Y7 = 1.599E+02 , X2Y8 = 1.023E+02 ,
XY9 = 2.185E+01 , Y10 = 4.209E+01
第4面
X = -1.239E-02 , Y = -3.480E-03 , X2 = -9.949E-01 ,
XY = 5.972E-04 , Y2 = -9.646E-01 , X3 = 7.955E-02 ,
X2Y = 4.600E-01 , XY2 = 2.941E-01 , Y3 = 2.731E-01 ,
X4 = -1.449E+00 , X3Y = 9.403E-02 , X2Y2 = -2.927E+00 ,
XY3 = 2.765E-02 , Y4 = -1.393E+00 , X5 = 1.001E+00 ,
X4Y = 2.102E+00 , X3Y2 = 1.869E+00 , X2Y3 = 3.237E+00 ,
XY4 = 1.488E+00 , Y5 = 1.739E+00 , X6 = -3.750E+01 ,
X5Y = 6.935E+00 , X4Y2 = -1.117E+02 , X3Y3 = 1.394E+01 ,
X2Y4 = -1.134E+02 , XY5 = 5.879E+00 , Y6 = -3.700E+01 ,
X7 = -5.596E+00 , X6Y = -1.005E+01 , X5Y2 = -1.717E+01 ,
X4Y3 = -1.250E+01 , X3Y4 = -1.367E+01 , X2Y5 = -1.895E+01 ,
XY6 = -5.521E+00 , Y7 = -1.359E+01 , X8 = 4.433E+02 ,
X7Y = -9.408E+01 , X6Y2 = 1.771E+03 , X5Y3 = -3.509E+02 ,
X4Y4 = 2.653E+03 , X3Y5 = -3.275E+02 , X2Y6 = 1.846E+03 ,
XY7 = -9.007E+01 , Y8 = 4.475E+02 , X9 = 6.760E+01 ,
X8Y = 1.658E+02 , X7Y2 = 3.041E+02 , X6Y3 = 4.473E+02 ,
X5Y4 = 4.318E+02 , X4Y5 = 5.537E+02 , X3Y6 = 2.841E+02 ,
X2Y7 = 4.327E+02 , XY8 = 9.560E+01 , Y9 = 1.421E+02 ,
X10 = -3.574E+03 , X9Y = 5.624E+02 , X8Y2 = -1.801E+04 ,
X7Y3 = 2.887E+03 , X6Y4 = -3.512E+04 , X5Y5 = 4.426E+03 ,
X4Y6 = -3.594E+04 , X3Y7 = 2.511E+03 , X2Y8 = -1.851E+04 ,
XY9 = 5.426E+02 , Y10 = -3.573E+03
第5面
X = -2.390E-02 , Y = 1.662E-02 , X2 = -1.097E+00 ,
XY = -1.743E-01 , Y2 = -1.066E+00 , X3 = -9.320E-01 ,
X2Y = -2.470E-01 , XY2 = -1.448E-01 , Y3 = -6.536E-01 ,
X4 = -2.975E+00 , X3Y = 1.601E+00 , X2Y2 = -4.166E+00 ,
XY3 = 1.330E+00 , Y4 = -2.766E+00 , X5 = 3.788E+00 ,
X4Y = 1.235E-01 , X3Y2 = 1.753E+00 , X2Y3 = 5.388E+00 ,
XY4 = -3.706E+00 , Y5 = 3.866E+00 , X6 = 2.511E+01 ,
X5Y = -3.542E+00 , X4Y2 = -2.268E+01 , X3Y3 = 1.795E+00 ,
X2Y4 = -3.121E+01 , XY5 = -9.832E+00 , Y6 = 1.445E+01 ,
X7 = -2.532E+01 , X6Y = 8.865E+01 , X5Y2 = 1.602E-01 ,
X4Y3 = 9.470E+00 , X3Y4 = 4.930E+01 , X2Y5 = -1.843E+01 ,
XY6 = 1.032E+02 , Y7 = -2.758E+01 , X8 = -3.383E+02 ,
X7Y = 2.958E+02 , X6Y2 = 7.710E+01 , X5Y3 = 1.239E+02 ,
X4Y4 = 6.315E+02 , X3Y5 = 7.467E+01 , X2Y6 = 4.029E+02 ,
XY7 = 2.572E+02 , Y8 = -1.628E+02 , X9 = 1.486E+02 ,
X8Y = -2.283E+02 , X7Y2 = 1.191E+02 , X6Y3 = -4.526E+02 ,
X5Y4 = -2.163E+02 , X4Y5 = 1.380E+02 , X3Y6 = -4.210E+02 ,
X2Y7 = 8.185E+01 , XY8 = -5.168E+02 , Y9 = 1.722E+02 ,
X10 = 1.191E+03 , X9Y = -1.369E+03 , X8Y2 = -8.551E+02 ,
X7Y3 = -1.706E+03 , X6Y4 = -4.823E+03 , X5Y5 = -1.283E+03 ,
X4Y6 = -6.330E+03 , X3Y7 = -4.948E+02 , X2Y8 = -3.122E+03 ,
XY9 = -1.496E+03 , Y10 = 5.874E+02
第8面
X = 7.164E-02 , Y = 9.871E-02 , X2 = 1.748E+00 ,
XY = -4.022E-01 , Y2 = 1.622E+00 , X3 = -1.126E+00 ,
X2Y = -7.848E-01 , XY2 = 1.775E-02 , Y3 = -1.165E+00 ,
X4 = 1.266E+00 , X3Y = 3.701E+00 , X2Y2 = -9.767E-01 ,
XY3 = 1.856E+00 , Y4 = 8.312E-01 , X5 = -1.668E-01 ,
X4Y = 1.656E+00 , X3Y2 = 3.667E+00 , X2Y3 = 1.030E+01 ,
XY4 = -4.692E+00 , Y5 = 6.104E+00 , X6 = -2.624E+01 ,
X5Y = -4.944E+01 , X4Y2 = 1.529E+02 , X3Y3 = -2.405E+01 ,
X2Y4 = 1.212E+02 , XY5 = -1.400E+01 , Y6 = 2.007E+01 ,
X7 = 7.455E+00 , X6Y = -5.104E+01 , X5Y2 = -1.010E+02 ,
X4Y3 = -7.803E+01 , X3Y4 = 4.127E+00 , X2Y5 = -1.203E+02 ,
XY6 = 3.288E+01 , Y7 = -4.747E+01 , X8 = 1.506E+03 ,
X7Y = 5.126E+02 , X6Y2 = -2.144E+03 , X5Y3 = 6.463E+02 ,
X4Y4 = -2.177E+03 , X3Y5 = 3.237E+01 , X2Y6 = -1.240E+03 ,
XY7 = 1.571E+02 , Y8 = -1.167E+02 , X9 = 3.505E+02 ,
X8Y = 8.513E+02 , X7Y2 = 1.047E+03 , X6Y3 = 5.063E+02 ,
X5Y4 = 7.300E+01 , X4Y5 = 4.202E+02 , X3Y6 = -1.382E+02 ,
X2Y7 = 6.045E+02 , XY8 = 8.528E+01 , Y9 = 1.967E+02 ,
X10 = -1.466E+04 , X9Y = -7.133E+02 , X8Y2 = 1.263E+04 ,
X7Y3 = -5.046E+03 , X6Y4 = 1.764E+04 , X5Y5 = -1.492E+03 ,
X4Y6 = 1.606E+04 , X3Y7 = 6.352E+02 , X2Y8 = 6.686E+03 ,
XY9 = -4.887E+02 , Y10 = 9.862E+02
単位:mm
面データ
面番号 C0 d nd vd
1 -0.006592 0.215 1.5178 56.1
2 0 0.305 1.5100 62.4
3 0 0.050 1.6020 28.6
4 -0.959936 0.850
5 -0.108578 0.050 1.6020 28.6
6 0 0.300 1.5100 62.4
7 0 0.179 1.5178 56.1
8 -1.339709 0.021
9 0 0.500 1.4714 66.02
10 0 0.050
第1面
A4 = -4.087E-01
A6 = -2.315E+00
A8 = -4.957E+01
A10= 8.716E+02
A12= 1.186E+04
A14= -2.680E+05
A16= 1.113E+06
A18= 0.000E+00
第4面
A4 = 1.714E-01
A6 = -1.098E+01
A8 = 1.081E+02
A10= 7.077E+02
A12= -1.702E+04
A14= 4.221E+04
A16= 2.209E+05
A18= 0.000E+00
第5面
A4 = -3.811E-01
A6 = 5.801E+00
A8 = -6.603E+01
A10= 2.424E+02
A12= -1.074E+02
A14= -2.199E+02
A16= -2.461E+03
A18= 0.000E+00
第8面
A4 = 1.401E+00
A6 = 1.055E+01
A8 = -3.211E+02
A10= 3.237E+03
A12= -1.658E+04
A14= 4.278E+04
A16= -4.404E+04
A18= 0.000E+00
LU 撮像ユニット
LA1 第1レンズアレイプレート
LA2 第2レンズアレイプレート
LH 複眼光学系
Ln(n=1,2,3…) 個眼光学系
L0 全体光学系
L01,L02,L03 全体光学系
Zn(n=1,2,3…) 個眼像
Z0 全体像
Pn(n=1,2,3…) 個眼ポジション(個眼領域)
P01,P02,P03 全体ポジション(全体領域)
ML 個眼合成画像
M0 全体画像
SL 合成視野
S0 全体視野
SR 撮像素子
SS 受光面(撮像面)
CG カバーガラス
AX 光軸
1 画像処理部
1a 画像合成部
1b 画像補正部
1c 出力画像処理部
2 演算部
3 メモリ
Claims (16)
- 視野の異なる複数の像をつなぎ合わせて1枚の合成画像を出力するために、視野の異なる複数の結像を行う複眼光学系であって、
前記視野の異なる複数の像を撮像面上に形成する複数の個眼光学系と、前記複数の個眼光学系で得られる視野全体を包含する視野の像を前記撮像面上に形成する全体光学系と、を有しており、
複数のレンズが一体に形成されたレンズアレイプレートで、前記個眼光学系及び全体光学系が構成されていることを特徴とする複眼光学系。 - 前記撮像面は1つの撮像素子にあることを特徴とする請求項1記載の複眼光学系。
- 前記レンズアレイプレートは少なくとも2枚からなることを特徴とする請求項1又は2記載の複眼光学系。
- 撮像素子と、その撮像素子に対して視野の異なる複数の結像を行う複眼光学系と、その複眼光学系で形成された視野の異なる複数の像をつなぎ合わせて1枚の合成画像を出力する画像処理部と、を有する撮像装置であって、
前記複眼光学系が、前記視野の異なる複数の像を前記撮像素子の撮像面上に形成する複数の個眼光学系と、前記複数の個眼光学系で得られる視野全体を包含する視野の像を前記撮像面上に形成する全体光学系と、を有しており、
複数のレンズが一体に形成されたレンズアレイプレートで、前記個眼光学系及び全体光学系が構成されていることを特徴とする撮像装置。 - 前記撮像面は1つの撮像素子にあることを特徴とする請求項4記載の撮像装置。
- 前記レンズアレイプレートは少なくとも2枚からなることを特徴とする請求項4又は5記載の撮像装置。
- 前記画像処理部が前記全体光学系で得られる画像の情報を用いて前記合成画像の画質を改善する補正を行うことを特徴とする請求項4~6のいずれか1項に記載の撮像装置。
- 前記全体光学系の視野が、前記複数の個眼光学系で得られる視野全体よりも大きいことを特徴とする請求項7記載の撮像装置。
- 前記全体光学系で得られる画像の情報がゴーストの原因となるクロストークであり、前記画像処理部が前記合成画像で生じたクロストークを特定してゴーストを目立たないように補正することを特徴とする請求項7又は8記載の撮像装置。
- 前記全体光学系で得られる画像の情報がシェーディングであり、前記画像処理部が前記全体光学系の画像の輝度分布情報を用いて前記合成画像の輝度分布を補正することを特徴とする請求項7~9のいずれか1項に記載の撮像装置。
- 前記全体光学系で得られる画像の情報が合成画像のつなぎ目であり、前記画像処理部が前記全体光学系の画像情報を用いて前記合成画像のつなぎ目分布を補正することを特徴とする請求項7~10のいずれか1項に記載の撮像装置。
- 前記画像処理部が、動画出力機能,ライブビュー出力機能及び静止画出力機能を有し、静止画出力時には前記合成画像を出力するための画像処理を行うが、動画出力時又はライブビュー出力時には前記全体光学系の画像情報を用いた出力を行うことを特徴とする請求項4~11のいずれか1項に記載の撮像装置。
- 前記個眼光学系で形成される像を個眼像とし、前記全体光学系で形成される像を全体像とし、前記撮像素子の撮像面において、前記個眼像が形成される領域を個眼領域とし、前記全体像が形成される領域を全体領域とするとき、各個眼領域の隙間よりも個眼領域と全体領域との隙間の方が大きいことを特徴とする請求項4~12のいずれか1項に記載の撮像装置。
- 前記複数の個眼光学系のうち、前記撮像面に対して垂直な光軸を有する個眼光学系以外のものは、自由曲面を少なくとも1面有する偏心光学系であることを特徴とする請求項4~13のいずれか1項に記載の撮像装置。
- 前記個眼光学系で形成される像を個眼像とするとき、各個眼像の視野の周辺が重なるようになっており、その重なりの量が以下の条件式(1)を満足することを特徴とする請求項4~14のいずれか1項に記載の撮像装置;
0.01<La/Lb<0.5 …(1)
ただし、
La:重なり量、
Lb:画面の重なる方向の幅、
である。 - 前記個眼光学系の数が縦横にそれぞれ3つ以上あり、3×3以上の配列における縦横方向にずれた視野で前記個眼光学系がそれぞれ結像することを特徴とする請求項4~15のいずれか1項に記載の撮像装置。
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US14/651,580 US9591241B2 (en) | 2012-12-11 | 2013-12-04 | Compound eye optical system and imaging device using the same |
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Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2016185902A1 (ja) * | 2015-05-15 | 2016-11-24 | ソニー株式会社 | 撮像装置、撮像方法、並びにプログラム |
JP2020517183A (ja) * | 2017-04-13 | 2020-06-11 | フラウンホーファー−ゲゼルシャフト・ツール・フェルデルング・デル・アンゲヴァンテン・フォルシュング・アインゲトラーゲネル・フェライン | 部分視野を撮像するための装置、多開口撮像装置およびそれらを提供する方法 |
US10951817B2 (en) | 2017-06-26 | 2021-03-16 | Mitsubishi Electric Corporation | Compound-eye imaging device, image processing method, and recording medium |
US10996460B2 (en) | 2017-04-13 | 2021-05-04 | Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. | Multi-aperture imaging device, imaging system and method of providing a multi-aperture imaging device |
US11070731B2 (en) | 2017-03-10 | 2021-07-20 | Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. | Multi-aperture imaging device, imaging system and method for making available a multi-aperture imaging device |
Families Citing this family (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP7350511B2 (ja) * | 2019-05-14 | 2023-09-26 | キヤノン株式会社 | 電子機器、電子機器の制御方法、プログラム、及び、記憶媒体 |
Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2006171939A (ja) * | 2004-12-14 | 2006-06-29 | Canon Inc | 画像処理装置及び方法 |
WO2006101064A1 (ja) * | 2005-03-24 | 2006-09-28 | Matsushita Electric Industrial Co., Ltd. | 撮像装置及びそれに用いられるレンズアレイ |
JP2010130628A (ja) * | 2008-12-01 | 2010-06-10 | Sharp Corp | 撮像装置、映像合成装置および映像合成方法 |
JP2010147695A (ja) * | 2008-12-17 | 2010-07-01 | Nikon Corp | 撮像装置 |
JP2013045032A (ja) * | 2011-08-26 | 2013-03-04 | Fujifilm Corp | 多眼撮像装置 |
Family Cites Families (10)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
KR20040103786A (ko) * | 2003-06-02 | 2004-12-09 | 펜탁스 가부시키가이샤 | 다초점 촬상 장치 및 다초점 촬상 장치를 가진 모바일 장치 |
JP3859158B2 (ja) * | 2003-12-16 | 2006-12-20 | セイコーエプソン株式会社 | マイクロレンズ用凹部付き基板、マイクロレンズ基板、透過型スクリーン、およびリア型プロジェクタ |
US7511749B2 (en) * | 2003-12-18 | 2009-03-31 | Aptina Imaging Corporation | Color image sensor having imaging element array forming images on respective regions of sensor elements |
US7663662B2 (en) * | 2005-02-09 | 2010-02-16 | Flir Systems, Inc. | High and low resolution camera systems and methods |
US7656428B2 (en) * | 2005-05-05 | 2010-02-02 | Avago Technologies General Ip (Singapore) Pte. Ltd. | Imaging device employing optical motion sensor as gyroscope |
JP2009232278A (ja) | 2008-03-24 | 2009-10-08 | Funai Electric Co Ltd | パノラマ撮像装置 |
EP3876510A1 (en) | 2008-05-20 | 2021-09-08 | FotoNation Limited | Capturing and processing of images using monolithic camera array with heterogeneous imagers |
WO2011112633A1 (en) * | 2010-03-09 | 2011-09-15 | Flir Systems, Inc. | Imager with multiple sensor arrays |
JP5621615B2 (ja) | 2011-01-21 | 2014-11-12 | 株式会社リコー | 撮像装置 |
JP5121998B2 (ja) | 2011-12-21 | 2013-01-16 | キヤノン株式会社 | 画像処理装置及び画像処理プログラム |
-
2013
- 2013-12-04 WO PCT/JP2013/082586 patent/WO2014091985A1/ja active Application Filing
- 2013-12-04 JP JP2014552003A patent/JP6172161B2/ja not_active Expired - Fee Related
- 2013-12-04 US US14/651,580 patent/US9591241B2/en not_active Expired - Fee Related
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2006171939A (ja) * | 2004-12-14 | 2006-06-29 | Canon Inc | 画像処理装置及び方法 |
WO2006101064A1 (ja) * | 2005-03-24 | 2006-09-28 | Matsushita Electric Industrial Co., Ltd. | 撮像装置及びそれに用いられるレンズアレイ |
JP2010130628A (ja) * | 2008-12-01 | 2010-06-10 | Sharp Corp | 撮像装置、映像合成装置および映像合成方法 |
JP2010147695A (ja) * | 2008-12-17 | 2010-07-01 | Nikon Corp | 撮像装置 |
JP2013045032A (ja) * | 2011-08-26 | 2013-03-04 | Fujifilm Corp | 多眼撮像装置 |
Cited By (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2016185902A1 (ja) * | 2015-05-15 | 2016-11-24 | ソニー株式会社 | 撮像装置、撮像方法、並びにプログラム |
US11070731B2 (en) | 2017-03-10 | 2021-07-20 | Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. | Multi-aperture imaging device, imaging system and method for making available a multi-aperture imaging device |
JP2020517183A (ja) * | 2017-04-13 | 2020-06-11 | フラウンホーファー−ゲゼルシャフト・ツール・フェルデルング・デル・アンゲヴァンテン・フォルシュング・アインゲトラーゲネル・フェライン | 部分視野を撮像するための装置、多開口撮像装置およびそれらを提供する方法 |
US10996460B2 (en) | 2017-04-13 | 2021-05-04 | Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. | Multi-aperture imaging device, imaging system and method of providing a multi-aperture imaging device |
JP2021103181A (ja) * | 2017-04-13 | 2021-07-15 | フラウンホーファー−ゲゼルシャフト・ツール・フェルデルング・デル・アンゲヴァンテン・フォルシュング・アインゲトラーゲネル・フェライン | 部分視野を撮像するための装置、多開口撮像装置およびそれらを提供する方法 |
US11457152B2 (en) | 2017-04-13 | 2022-09-27 | Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. | Device for imaging partial fields of view, multi-aperture imaging device and method of providing same |
JP7189992B2 (ja) | 2017-04-13 | 2022-12-14 | フラウンホーファー-ゲゼルシャフト・ツール・フェルデルング・デル・アンゲヴァンテン・フォルシュング・アインゲトラーゲネル・フェライン | 部分視野を撮像するための装置、多開口撮像装置およびそれらを提供する方法 |
US10951817B2 (en) | 2017-06-26 | 2021-03-16 | Mitsubishi Electric Corporation | Compound-eye imaging device, image processing method, and recording medium |
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