CN108801606A - A kind of lens refractive power measuring device and method based on fiber optic interferometric projection - Google Patents

A kind of lens refractive power measuring device and method based on fiber optic interferometric projection Download PDF

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CN108801606A
CN108801606A CN201810878128.6A CN201810878128A CN108801606A CN 108801606 A CN108801606 A CN 108801606A CN 201810878128 A CN201810878128 A CN 201810878128A CN 108801606 A CN108801606 A CN 108801606A
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optical fiber
lens
interference
fiber
light
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CN108801606B (en
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何勇
蒋正东
朱荣刚
李浩宇
陈磊
吴敬仁
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Nanjing University of Science and Technology
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Nanjing University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M11/00Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
    • G01M11/02Testing optical properties
    • G01M11/0242Testing optical properties by measuring geometrical properties or aberrations
    • G01M11/0271Testing optical properties by measuring geometrical properties or aberrations by using interferometric methods

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Abstract

The invention discloses a kind of lens refractive power measurement methods based on fiber optic interferometric projection.The device includes:Laser, 1 × 3 fiber coupler, Polarization Controller, photoswitch, the first~tri- optical fiber, collimation lens, lens to be measured, imaging screen, CCD, computer.Method is:CCD is demarcated with gridiron pattern scaling board, establishes the geometry conversion relation of the imaging screen plane of reference and CCD target surfaces;Laser emitting light enters fiber coupler, adjusts Polarization Controller, so that the polarization state of the first and third fiber exit light is interfered with the second fiber exit light, obtain interference fringe picture;Then lens to be measured are put, interference fringe is by lens projects to imaging screen to be measured, CCD receives the interference fringe picture that phase deviation occurs on imaging screen, calculates diopter of the lens to be measured in X direction and y direction;Phase information is solved by Fourier transformation, obtains the diopter of eyeglass.The present invention has the advantages that efficient, precision is high, is widely used.

Description

A kind of lens refractive power measuring device and method based on fiber optic interferometric projection
Technical field
The present invention relates to field of optical measuring technologies, especially a kind of lens refractive power based on fiber optic interferometric projection measures Device and method.
Background technology
With the development of science and technology with the arrival of information age, people are higher and higher to the demand of visual quality.Optical frames The replacement is also constantly updated in major way of the piece as correction human eyesight, the design of spectacle lens, and various types of gas producing formations go out not Thoroughly, the distribution of lens refractive power also becomes increasingly complex.Diopter is one of most important optical parameter of optometry eyeglass, and The unit of the general spectacle lens refracting power size in the whole world at present.The effect of the vision after vision correction is directly affected due to the parameter Fruit, therefore the measurement of lens refractive power value occupies very important effect in eye optometry.Diopter parameter include diopter of correction, Cylindrical mirror degree and its axis degree, prism degree and its substrate orientation etc., it is vertometer to predominantly detect equipment.Vertometer is that state compulsion is examined Certification utensil, disclosure satisfy that the detection demand to the common eyeglass of tradition, but this quasi-instrument cannot be satisfied it is multiple in diopter distribution The detection demand of miscellaneous eyeglass.In recent years, there are many countries once to do largely in the measurement method of progressive multi-focus lens Scientific research, the method for detecting diopter complex distribution eyeglass at present can be divided by its principle:Improved vertometer method, geometry are bent Rate mensuration, stripe pattern calculating method etc..
Stripe pattern calculating method is measured according to different principles, and optical path change caused by tested eyeglass is obtained, from And the method for calculating diopter information, wherein relatively conventional is Moire fringe technique.Moire fringe technique is a kind of based on More's effect Should be with the optical non-contact mensuration of Tabo effect, its basic principle will measure eyeglass be placed on two panels Ronchi grating it Before, after collimated light irradiates eyeglass, the Taibo picture and the second sheet gration of the first sheet gration overlap to form Moire fringe, according to not The deflection angle of your striped determines the focal length of eyeglass.This method needs the stripe pattern obtained to measurement to pre-process, It can obtain suitable information.The data processor of Moire fringe technique is complicated, and larger error can be introduced in calculating process.
Invention content
Present invention aims at provide it is a kind of it is efficient, precision is high, it is widely used based on fiber optic interferometric projection eyeglass Diopter measurement device and method.
Realize that the technical solution of the object of the invention is:A kind of lens refractive power measurement dress based on fiber optic interferometric projection It sets, including laser, 1 × 3 fiber coupler, Polarization Controller, photoswitch, the first optical fiber, the second optical fiber, third optical fiber, standard Straight lens, lens to be measured, imaging screen, CCD, computer;
One monochromic beam of the laser emitting enters 1 × 3 fiber coupler by single-mode polarization maintaining fiber;
The Polarization Controller, the polarization state for adjusting fiber exit light;
The outgoing of photoswitch control light and interference situation, make two beam coherent lights i.e. the first optical fiber on y direction and The outgoing interference of light of second optical fiber, or make the two beam coherent lights i.e. emergent light of the second optical fiber and third optical fiber in X direction Interference;
Emergent light after interference passes through interference cross/nicking that collimation lens is superimposed, and projects on imaging screen and obtain To the phase distribution of the plane of reference, computer receives the phase distribution of the plane of reference on imaging screen by CCD;Then it puts to be measured Mirror, interference cross/nicking pass through the interference cross/nicking figure for obtaining that phase deviation occurs on lens projects to imaging screen to be measured, Computer receives interference cross/nicking figure that phase deviation occurs on imaging screen by CCD, calculate lens to be measured it is horizontal/ Diopter in plotted.
Further, first optical fiber, the second optical fiber, the L-shaped arrangement of third optical fiber, the first optical fiber, the second optical fiber are Two beam coherent lights on y direction;Second optical fiber, third optical fiber are two beam coherent lights in X direction.
Further, the Polarization Controller, the polarization state for adjusting fiber exit light, specially:Make the first optical fiber It is able to overlap and interfere with the second fiber exit light with the polarization state of third fiber exit light.
A kind of lens refractive power measurement method based on fiber optic interferometric projection, includes the following steps:
Step 1, camera calibration demarcate CCD with gridiron pattern scaling board, establish the imaging screen plane of reference and CCD target surfaces Geometry conversion relation;
Step 2, one monochromic beam of laser emitting enter 1 × 3 fiber coupler by single-mode polarization maintaining fiber, and adjustment is inclined Shake controller, and the polarization state of the first optical fiber and third fiber exit light is made to be able to overlap and occur with the second fiber exit light Interference;
Step 3, the outgoing that light is controlled by photoswitch and interference situation first make two beam coherent lights on y direction i.e. the The outgoing interference of light of one optical fiber and the second optical fiber, the emergent light after interference pass through the interference horizontal stripe that collimation lens is superimposed, And project on imaging screen and obtain the phase distribution of the plane of reference, computer receives the phase of the plane of reference on imaging screen by CCD Distribution;Then lens to be measured are put, by lens projects to imaging screen to be measured, obtaining phase deviation occurs for interference horizontal stripe Cross/nicking figure, computer is interfered to receive the interference horizontal stripe figure that phase deviation occurs on imaging screen by CCD, calculate Diopter of the lens to be measured in X direction;
Step 4, with step 3 similarly, by photoswitch control light outgoing and interference situation, then make in X direction two The outgoing interference of light of beam coherent light i.e. the second optical fiber and third optical fiber obtains the interference nicking figure that phase deviation occurs, calculates Go out diopter of the lens to be measured on y direction;
Step 5, comprehensive X direction and y direction interference fringe picture, phase information is solved by Fourier transformation, It can be obtained the diopter of lens to be measured.
Further, comprehensive X direction and y direction interference fringe picture described in step 5, are solved by Fourier transformation Go out phase information, you can the diopter of eyeglass is obtained, it is specific as follows:
According to fiber optic interferometric projected fringe image formula, know:
Wherein, I (x, y) is that double fiber optic interferometrics project striped light distribution, and a (x, y) is background light distribution, and b (x, y) is Stripe pattern contrast, fx0And fy0Respectively space of the fiber optic interferometric projected fringe image on two x-axis, y-axis orthogonal directions Frequency,The variation of fringe phase is projected for fiber optic interferometric caused by body surface height fluctuation;
It enablesThe Fourier transform expression formula of q (x, y) is Q (fx,fy), Fu of formula I above (x, y) In leaf transformation expression formula be:
Wherein, * is to seek conjugate of symbol,To ask convolution symbol, A (fx,fy), B (fx,fy) it is respectively corresponding a (x, y), b The Fourier transform of (x, y);
It is extracted by constructing bandpass filter, is moved back to frequency domain original Point, then do inverse fourier transform and obtainAnd then it obtains:
The variation that fiber optic interferometric caused by body surface height fluctuation projects fringe phase is found out by above formulaAfterwards, In conjunction with system parameter calibration to get to the diopter information of lens to be measured.
Compared with prior art, the present invention its remarkable advantage is:(1) fiber optic interferometric shadow casting technique is applied to eyeglass In diopter measurement, have the advantages that high-precision, high sensitivity;(2) apparatus and meter of lens refractive power measurement are simplified Calculation process;(3) phase information carried by interference fringe measures the diopter of eyeglass to be measured, can improve existing eyeglass dioptric The accuracy for spending measuring device, extends its application field.
Description of the drawings
Fig. 1 is the apparatus structure schematic diagram of the lens refractive power measurement method projected the present invention is based on fiber optic interferometric.
Fig. 2 is the optical fiber arrangement mode in apparatus of the present invention.
Wherein, 1- lasers;The fiber couplers of 2-1 × 3;3- Polarization Controllers;4- photoswitches;The first optical fiber of 5-;6- Two optical fiber;7- third optical fiber;8- collimation lenses;9- lens to be measured;10- imaging screens;11-CCD;12- computers.
Specific implementation mode
The present invention is based on the lens refractive power measuring devices of fiber optic interferometric projection, including laser 1,1 × 3 fiber coupler 2, Polarization Controller 3, photoswitch 4, the first optical fiber 5, the second optical fiber 6, third optical fiber 7, collimation lens 8, lens to be measured 9, imaging Screen 10, CCD11, computer 12;
The laser 1 is emitted a monochromic beam, enters 1 × 3 fiber coupler 2 by single-mode polarization maintaining fiber;
The Polarization Controller 3, the polarization state for adjusting fiber exit light;
The photoswitch 4 controls outgoing and the interference situation of light, makes two beam coherent lights i.e. the first optical fiber 5 on y direction With the outgoing interference of light of the second optical fiber 6, or make two beam coherent lights i.e. the second optical fiber 6 in X direction and third optical fiber 7 It is emitted the interference of light;
Emergent light after interference passes through interference cross/nicking that collimation lens 8 is superimposed, and projects on imaging screen 10 The phase distribution of the plane of reference is obtained, computer 12 receives the phase distribution of the plane of reference on imaging screen 10 by CCD11;Then it puts Lens 9 to be measured, interference cross/nicking projected to by lens 9 to be measured the interference for obtaining that phase deviation occurs on imaging screen 10 it is horizontal/ Nicking figure, computer 12 are received interference cross/nicking figure that phase deviation occurs on imaging screen 10 by CCD11, calculated Go out diopter of the lens 9 to be measured in cross/plotted.
Further, first optical fiber 5, the second optical fiber 6, the 7 L-shaped arrangement of third optical fiber, the first optical fiber 5, the second light Fibre 6 is two beam coherent lights on y direction;Second optical fiber 6, third optical fiber 7 are two beam coherent lights in X direction.
Further, the Polarization Controller 3, the polarization state for adjusting fiber exit light, specially:Make the first optical fiber 5 and the polarization state of 7 emergent light of third optical fiber be able to overlap and interfere with 6 emergent light of the second optical fiber.
A kind of lens refractive power measurement method based on fiber optic interferometric projection, includes the following steps:
Step 1, camera calibration demarcate CCD11 with gridiron pattern scaling board, establish 10 plane of reference of imaging screen and The geometry conversion relation of CCD11 target surfaces;
Step 2, laser 1 are emitted a monochromic beam, enter 1 × 3 fiber coupler 2, adjustment by single-mode polarization maintaining fiber Polarization Controller 3 makes the polarization state of 7 emergent light of the first optical fiber 5 and third optical fiber be able to overlap with 6 emergent light of the second optical fiber And it interferes;
Step 3, the outgoing that light is controlled by photoswitch 4 and interference situation, first make two beam coherent lights on y direction i.e. The outgoing interference of light of first optical fiber 5 and the second optical fiber 6, the interference that the emergent light after interference is superimposed by collimation lens 8 are horizontal Striped, and the phase distribution that the plane of reference is obtained on imaging screen 10 is projected to, computer 12 is received by CCD11 on imaging screen 10 The phase distribution of the plane of reference;Then lens 9 to be measured are put, interference horizontal stripe is projected on imaging screen 10 by lens 9 to be measured, obtained To interference cross/nicking figure that phase deviation occurs, computer 12 receives generation phase deviation on imaging screen 10 by CCD11 Interference horizontal stripe figure, calculate diopter of the lens 9 to be measured in X direction;
Step 4 and step 3 similarly, outgoing and the interference situation of light are controlled by photoswitch 4, then are made in X direction The two beam coherent lights i.e. outgoing interference of light of the second optical fiber 6 and third optical fiber 7 obtains the interference nicking figure that phase deviation occurs, Calculate diopter of the lens 9 to be measured on y direction;
Step 5, comprehensive X direction and y direction interference fringe picture, phase information is solved by Fourier transformation, It can be obtained the diopter of lens 9 to be measured.
Further, comprehensive X direction and y direction interference fringe picture described in step 5, are solved by Fourier transformation Go out phase information, you can the diopter of eyeglass is obtained, it is specific as follows:
According to fiber optic interferometric projected fringe image formula, know:
Wherein, Ix, y are that double fiber optic interferometrics project striped light distribution, and ax, y are background light distribution, and bx, y are bar graph Image contrast, fx0And fy0Respectively spatial frequency of the fiber optic interferometric projected fringe image on two x-axis, y-axis orthogonal directions,The variation of fringe phase is projected for fiber optic interferometric caused by body surface height fluctuation;
It enablesThe Fourier transform expression formula of qx, y are Qfx,fy, the Fourier transformation of formula I above (x, y) Expression formula is:
Wherein, * is to seek conjugate of symbol,To ask convolution symbol, Afx,fy, Bfx,fyRespectively correspond to ax, y, bx, Fu of y Vertical leaf transformation;
It is extracted by constructing bandpass filter, is moved back to frequency domain original Point, then do inverse fourier transform and obtainAnd then it obtains:
The variation that fiber optic interferometric caused by body surface height fluctuation projects fringe phase is found out by above formulaAfterwards, In conjunction with system parameter calibration to get to the diopter information of lens 9 to be measured.
Mode is described in further details the present invention with reference to the accompanying drawings and examples.
Embodiment 1
In conjunction with Fig. 1, realization device of the invention, including laser 1,1 × 3 fiber coupler 2, Polarization Controller 3, light are opened Close the 4, first optical fiber 5, the second optical fiber 6, third optical fiber 7, collimation lens 8, lens to be measured 9, imaging screen 10, CCD11, computer 12。
This implementation Polarization Controller 3 can control the polarization state of the first optical fiber 5 and third optical fiber 7, make itself and second Optical fiber 6 is consistent, can interfere therewith.
In conjunction with Fig. 2, the first optical fiber 5, the second optical fiber 6, the 7 L-shaped arrangement of third optical fiber described in the present embodiment, the first light Fine 5, second optical fiber 6 is two beam coherent lights on y direction;Second optical fiber 6, third optical fiber 7 are two beam phases in X direction Dry light.
Photoswitch 4 described in the present embodiment can control the outgoing and interference of the first optical fiber 5, the second optical fiber 6, third optical fiber 7 Situation, the coherent light being emitted respectively on horizontally and vertically direction.
The step of the method for the present invention is:
Step 1, camera calibration demarcate CCD11 with gridiron pattern scaling board, establish 10 plane of reference of imaging screen and The geometry conversion relation of CCD11 target surfaces;
Step 2, laser 1 are emitted a monochromic beam, enter 1 × 3 fiber coupler 2, adjustment by single-mode polarization maintaining fiber Polarization Controller 3 enables the polarization state of 7 emergent light of the first optical fiber 5 and third optical fiber to be overlapped with 6 emergent light of the second optical fiber, and It interferes therewith;
Step 3, the outgoing that light is controlled by photoswitch 4 and interference situation, first make two beam coherent lights on y direction, i.e., First optical fiber 5 and the interference of the second optical fiber 6, emergent light pass through collimation lens 8, the interference horizontal stripe being superimposed, and CCD11 is received The phase distribution of the plane of reference on imaging screen 10;Then lens 9 to be measured are put, interference horizontal stripe is projected to by lens 9 to be measured As on screen 10, CCD11 receives the interference horizontal stripe figure that phase deviation occurs on imaging screen 10, lens to be measured 9 are calculated in cross Diopter in axis direction;
Two beam coherent lights in step 4, recycling X direction, i.e. the second optical fiber 6 and third optical fiber 7 are interfered, are sent out The interference nicking of phase offset folding, calculates diopter information of the lens 9 to be measured on y direction;
Step 5, comprehensive X direction and y direction interference fringe picture, phase information is solved by Fourier transformation, It can be obtained the diopter of eyeglass.
The operation principle of the present invention:According to fiber optic interferometric projected fringe image formula:
Wherein I (x, y) is double fiber optic interferometrics projection projection striped light distribution, and a (x, y) is background light distribution, b (x, Y) it is stripe pattern contrast, the spatial frequency of fiber optic interferometric projected fringe image in 2 orthogonal directions is respectively fx0With fy0,The variation of fringe phase is projected for fiber optic interferometric caused by body surface height fluctuation.It enablesThe Fourier transform expression formula of q (x, y) is Q (fx,fy), the Fourier transformation expression formula of above formula For:
Wherein, * is to seek conjugate of symbol,To ask convolution symbol, A (fx,fy), B (fx,fy) it is respectively that corresponding Fourier becomes It changes.
Relative to the spatial frequency variation of stripe pattern, a (x, y), b (x, y) andVariation is slow in the spatial domain,It can be extracted by constructing bandpass filter, be moved back to frequency domain origin, then Inverse fourier transform is done to obtainAnd then it can obtain:
The variation that fiber optic interferometric caused by body surface height fluctuation projects fringe phase is found out by above formulaAfterwards, In conjunction with the parameter calibration of system, you can obtain the diopter information of eyeglass to be measured.
In conclusion the present invention measures the diopter of eyeglass to be measured, Neng Gouti by the phase information that interference fringe carries The accuracy of high existing lens refractive power measuring device, extends its application field.

Claims (5)

1. a kind of lens refractive power measuring device based on fiber optic interferometric projection, which is characterized in that including laser (1), 1 × 3 Fiber coupler (2), Polarization Controller (3), photoswitch (4), the first optical fiber (5), the second optical fiber (6), third optical fiber (7), standard Straight lens (8), lens to be measured (9), imaging screen (10), CCD (11), computer (12);
The laser (1) is emitted a monochromic beam, enters 1 × 3 fiber coupler (2) by single-mode polarization maintaining fiber;
The Polarization Controller (3), the polarization state for adjusting fiber exit light;
The outgoing of photoswitch (4) the control light and interference situation, make i.e. the first optical fiber of two beam coherent lights (5) on y direction With the outgoing interference of light of the second optical fiber (6), or make i.e. the second optical fiber of two beam coherent lights (6) and the third optical fiber in X direction (7) the outgoing interference of light;
Emergent light after interference passes through interference cross/nicking that collimation lens (8) is superimposed, and projects on imaging screen (10) The phase distribution of the plane of reference is obtained, computer (12) receives the phase distribution of the plane of reference on imaging screen (10) by CCD (11);So After put lens to be measured (9), interference cross/nicking, which is projected to by lens to be measured (9) on imaging screen (10), obtains generation phase Interference cross/nicking figure of deviation, computer (12) is received by CCD (11) occurs the dry of phase deviation on imaging screen (10) Cross/nicking figure is related to, diopter of the lens to be measured (9) in cross/plotted is calculated.
2. the lens refractive power measuring device according to claim 1 based on fiber optic interferometric projection, which is characterized in that described First optical fiber (5), the second optical fiber (6), third optical fiber (7) L-shaped arrangement, the first optical fiber (5), the second optical fiber (6) are longitudinal axis side Two upward beam coherent lights;Second optical fiber (6), third optical fiber (7) are two beam coherent lights in X direction.
3. the lens refractive power measuring device according to claim 1 or 2 based on fiber optic interferometric projection, which is characterized in that The Polarization Controller (3), the polarization state for adjusting fiber exit light, specially:Make the first optical fiber (5) and third optical fiber (7) polarization state of emergent light is able to overlap and interfere with the second optical fiber (6) emergent light.
4. a kind of lens refractive power measurement method based on fiber optic interferometric projection, which is characterized in that include the following steps:
Step 1, camera calibration demarcate CCD (11) with gridiron pattern scaling board, establish imaging screen (10) plane of reference and CCD (11) the geometry conversion relation of target surface;
Step 2, laser (1) are emitted a monochromic beam, enter 1 × 3 fiber coupler (2), adjustment by single-mode polarization maintaining fiber Polarization Controller (3) makes the polarization state of the first optical fiber (5) and third optical fiber (7) emergent light be able to go out with the second optical fiber (6) Light is penetrated to overlap and interfere;
Step 3, the outgoing that light is controlled by photoswitch (4) and interference situation first make two beam coherent lights on y direction i.e. the The outgoing interference of light of one optical fiber (5) and the second optical fiber (6), the emergent light after interference are superimposed dry by collimation lens (8) Horizontal stripe is related to, and projects on imaging screen (10) and obtains the phase distribution of the plane of reference, computer (12) is received by CCD (11) The phase distribution of the plane of reference on imaging screen (10);Then lens to be measured (9) are put, interference horizontal stripe is thrown by lens to be measured (9) On shadow to imaging screen (10), interference cross/nicking figure that phase deviation occurs is obtained, computer (12) is received by CCD (11) The interference horizontal stripe figure that phase deviation occurs on to imaging screen (10), calculates dioptric of the lens to be measured (9) in X direction Degree;
Step 4, with step 3 similarly, by photoswitch (4) control light outgoing and interference situation, then make in X direction two The outgoing interference of light of i.e. the second optical fiber of beam coherent light (6) and third optical fiber (7) obtains the interference nicking that phase deviation occurs Figure, calculates diopter of the lens to be measured (9) on y direction;
Step 5, comprehensive X direction and y direction interference fringe picture, phase information is solved by Fourier transformation, you can Obtain the diopter of lens to be measured (9).
5. the lens refractive power measurement method according to claim 4 based on fiber optic interferometric projection, which is characterized in that step The 5 comprehensive X directions and y direction interference fringe picture, solve phase information, you can obtain mirror by Fourier transformation The diopter of piece, it is specific as follows:
According to fiber optic interferometric projected fringe image formula, know:
Wherein, I (x, y) is that double fiber optic interferometrics project striped light distribution, and a (x, y) is background light distribution, and b (x, y) is striped Picture contrast, fx0And fy0Respectively space frequency of the fiber optic interferometric projected fringe image on two x-axis, y-axis orthogonal directions Rate,The variation of fringe phase is projected for fiber optic interferometric caused by body surface height fluctuation;
It enablesThe Fourier transform expression formula of q (x, y) is Q (fx,fy), the Fourier of formula I above (x, y) Converting expression formula is:
Wherein, * is to seek conjugate of symbol,To ask convolution symbol, A (fx,fy), B (fx,fy) it is respectively corresponding a (x, y), b (x, y) Fourier transform;
It is extracted by constructing bandpass filter, is moved back to frequency domain origin, then Inverse fourier transform is done to obtainAnd then it obtains:
The variation that fiber optic interferometric caused by body surface height fluctuation projects fringe phase is found out by above formulaAfterwards, it then ties The parameter calibration of collaboration system is to get to the diopter information of lens to be measured (9).
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CN114216655A (en) * 2021-12-08 2022-03-22 江苏汇鼎光学眼镜有限公司 Method for measuring imaging quality of spectacle lens
CN114216655B (en) * 2021-12-08 2023-12-01 江苏汇鼎光学眼镜有限公司 Measuring method for imaging quality of spectacle lens
CN116242278A (en) * 2023-05-11 2023-06-09 山东高速工程检测有限公司 Orthogonal optical fiber interference fringe projector for three-dimensional measurement of asphalt pavement texture
CN116242278B (en) * 2023-05-11 2023-07-11 山东高速工程检测有限公司 Orthogonal optical fiber interference fringe projector for three-dimensional measurement of asphalt pavement texture

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