CN106932921A - Progressive additional free surface lens method of evaluating performance - Google Patents

Progressive additional free surface lens method of evaluating performance Download PDF

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Publication number
CN106932921A
CN106932921A CN201710312417.5A CN201710312417A CN106932921A CN 106932921 A CN106932921 A CN 106932921A CN 201710312417 A CN201710312417 A CN 201710312417A CN 106932921 A CN106932921 A CN 106932921A
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astigmatism
degree
conformity
eyeglass
design
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CN106932921B (en
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项华中
武杰
郑刚
王成
付东翔
张通
庄松林
陈家璧
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University of Shanghai for Science and Technology
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University of Shanghai for Science and Technology
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    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/06—Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
    • G02C7/061—Spectacle lenses with progressively varying focal power
    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024—Methods of designing ophthalmic lenses
    • G02C7/028—Special mathematical design techniques

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  • Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Ophthalmology & Optometry (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Mathematical Physics (AREA)
  • Eyeglasses (AREA)

Abstract

The present invention relates to a kind of progressive additional free surface lens method of evaluating performance, in the design phase from the angle of many optical axis, the focal power of eyeglass when human eye wears progressive additional free surface lens under many optical axis states, astigmatism and axial Evaluation on distribution method, human eye can not only be given and see remote under many optical axis states when progressive additional mirror is worn, the near and neighboring area optical axis changes to lens powers, astigmatism and the axially influence of distribution, the degree of conformity and weight factor of eyeglass different zones can also be given, after normalized, the progressive additional free surface lens calculated under many optical axis states evaluate eyeglass grid lattice point focal power, astigmatism and the axially weight factor threshold value of distribution.According to weight factor threshold value, the gap between the progressive additional free form surface and prescription of design under many optical axis states is obtained, it is thus understood that the error of the parameter of design process.This evaluation method, can shorten the design cycle, reduce processing percent defective, improve product percent of pass.

Description

Progressive additional free surface lens method of evaluating performance
Technical field
The present invention relates to a kind of optical property, more particularly to a kind of progressive additional free surface lens performance evaluation side Method.
Background technology
Progressive multi-focus lens are the free form surface mirrors designed on the basis of double light microscopics, three light microscopics and multifocal ophthalmic Piece, overcoming focal power and being mutated the picture for causing and jump has the shortcomings that focal power is mutated boundary's trace with lens surface.It is a kind of focal power Gradually increased eyeglass from top to bottom.With eye-observation scope from far near, the focal power of this eyeglass gradually increases, and only uses One piece of eyeglass can just have the eyesight of visual field with house of correction.
It is optically main to use focal power and astigmatism distribution figure for progressive multi-focus lens performance evaluation, mainly For representing, assessing the two-dimentional or three-dimensional figure of progressive multi-focus lens optical property.The drafting of distribution map be mainly by Focal power or the equal point of astigmatism are coupled together on progressive multi-focus lens, and progressive multi-focus lens curved surface light is reflected with this The variation characteristic of focal power.It is not energetic but evaluation of the distribution map to eyeglass is only merely a rough subjective result Evaluate eyeglass in ground.And automatic lensometer is used mostly both at home and abroad at present on quantitatively evaluating (such as automatic Jiao of NEDIK companies of Japan Degree meter) measure distance light, dipped beam focal power, astigmatism and axial direction on eyeglass.This vertometer measuring method is also only merely to obtain The quantized result of certain point, can not provide the comprehensive evaluation result of whole eyeglass on eyeglass.It is wide with progressive multi-focus lens General application, its corresponding detection technique is also evolving.Surface profilometry, Shack-Hartmann wavefront sensing method and not The measuring methods such as your striped are used to study progressive multi-focus lens, mainly analyze astigmatism, aberration and the light of eyeglass Power profile.Method more than can be seen that automatic lensometer is a kind of single-spot way, can only obtain every on eyeglass The optical information of a bit, has limitation to the optical characteristics evaluation of progressive multi-focus lens entire surface；Hartmann's mensuration (example Such as the VM series surface type measurement instrument of VISIONIX companies), measuring method (the Roltex companies of Israel based on Moire deflectometry FFV faces types instrument), Ronchi grating mensuration these three integral surface sampled measurements methods be directional light and pass through tested eyeglass, Obtain the related optical parameter of eyeglass in unified scope.
Although there are many evaluation methods on gradual change Jiao's eyes both at home and abroad at present, and some of them extensive use In life, but there is certain defect in the equal method portion of existing method, and these evaluation methods in the design phase not to mirror The design error of piece is analyzed, but after the completion of the design of eyeglass face type, is directly carried out in corresponding Free-Form Surface Machining lathe Processing, this just greatly increased progressive multi-focus lens defect rate.Therefore, research under many optical axis states progressive additional from It is the matter of utmost importance for needing in design process to solve by the evaluation method of curve lens.
The content of the invention
The present invention be directed to the problem that progressive multi-focus lens performance measurement and evaluation are present, it is proposed that a kind of progressive multi-focal Point free surface lens method of evaluating performance, compared with traditional progressive additional free surface lens method of evaluating performance, In the design phase from the angle of many optical axis, mirror when human eye wears progressive additional free surface lens under many optical axis states The focal power of piece, astigmatism and axial Evaluation on distribution method, can not only provide human eye when progressive additional mirror is worn in many optical axis See that remote, the near and neighboring area optical axis changes to lens powers, astigmatism and the axially influence of distribution under state, moreover it is possible to provide eyeglass The degree of conformity and weight factor of different zones, after normalized, calculate the progressive additional free form surface under many optical axis states Eyeglass evaluates eyeglass grid lattice point focal power, astigmatism and the weight factor threshold value being axially distributed.According to weight factor threshold value, obtain Gap between the progressive additional free form surface and prescription that are designed under many optical axis states, it is thus understood that the parameter of design process Error.
The technical scheme is that：A kind of progressive additional free surface lens method of evaluating performance,
1) mesh generation, a diameter of R of eyeglass, each grid are carried out for the progressive additional free surface lens for designing It is square, side length of element is r, eyeglass is divided into m × n grid lattice point；
2) line at any one grid lattice point (m, n) and human eye eyeball center, as an optical axis, is being obtained on eyeglass After the face type data of eyeglass, the m × n design focal power f of grid lattice point is obtainedij, astigmatism cijWith astigmatism axial direction aijDistribution Matrix, i=1 ... m, j=1 ... n calculate design focal power, the difference between astigmatism and astigmatism axial direction and wearer's prescription；
3) determine that light of the m × n grid lattice point 4 in the case where face type data are designed is burnt according to progressive multi-focal lenses international standard Degree, astigmatism and axial direction are distributed and with the degree of conformity between mirror person's prescription, are assigned not according to desirability in actual use Same weight factor, obtains degree of conformity and weight factor matrix；
4) optical axis, repeat step 2 are reselected) and 3), progressive additional is freely bent under obtaining all optical axis states Face lens design focal power, astigmatism and axially with wearer's prescription depending on far field, near reading range, add meeting for optical channel and spread area Degree and weight factor matrix, and normalized, degree of conformity and weight factor are normalized as evaluation number；
5) according to the weight factor threshold value evaluation of the focal power, astigmatism and astigmatism axial direction degree of conformity for meeting wearer comfort Eyeglass wears performance.
The step 3) in degree of conformity calculation：On progressive additional free surface lens m × n grid lattice point, When the absolute value of design load and the difference of prescription values allows minimum value A less than or equal to standard：
| design load-prescription values |≤A
Assert that the point reaches prescription requirements, and degree of conformity is 1；
When the absolute value of design load and the difference of prescription values allows maximum B more than standard：
| design load-prescription values | ＞ B
Assert that the point is unsatisfactory for prescription requirements, degree of conformity is 0；
For design load and the difference of prescription absolute value between A and B, assert that the point part meets design requirement, meet Degree meets linear distribution:
So, for m × n grid lattice point, so that it may the degree of conformity of whole eyeglass is represented with degree of conformity matrix, and The distance light of eyeglass, dipped beam, plus optical channel and astigmatism area during eyeglass wearing, the attention degree for being assigned is different, each Individual grid lattice point just has different weight focal powers, astigmatism and astigmatism axial direction, degree of conformity matrix and respective weights matrix multiple, obtains To the profile exponent F of lens powers, astigmatism and astigmatism axial directionp、Cp、Ap。
The step 4) progressive additional free surface lens normalization evaluation number be：
Wherein σ1, σ2, σ3It is F after normalizationp, Cp, ApThe weight factor threshold value of corresponding distribution.
The beneficial effects of the present invention are：Progressive additional free surface lens method of evaluating performance of the present invention, can contract The short design cycle, processing percent defective is reduced, improve product percent of pass, be that the evaluation method of progressive additional free surface lens is carried New thought, new way are supplied, implementation is strong, with very actual application prospect.
Brief description of the drawings
Fig. 1 is progressive additional free surface lens performance evaluation schematic diagram of the present invention；
Fig. 2 is progressive additional free surface lens mesh generation standard schematic diagram of the present invention.
Specific embodiment
Progressive additional free surface lens performance evaluation schematic diagram as shown in Figure 1.By eyeglass 3 be placed on human eye 1 just before Side, the horizontal line for crossing the eyeball center of human eye 1 is optical axis 6, and optical axis 6 is preceding surface vertices 5, eyeglass 3 with the intersection point on the preceding surface of eyeglass 3 Preceding surface vertices 5 apart from human eye eyeball center length be 27mm.According to the facial characteristics of wearer, by eyeglass 3 along optical axis 6 Vertical straight incline certain angle 7, in the range from 10~12 °, different wearing states, that is, face type is simulated with this.
Mesh generation standard schematic diagram as shown in Figure 2, the size of diameter 8 of eyeglass 3 is R, according to different wearer's eyeball pupils The radius r in hole is divided, and grid 9 is square, and side length of element 10 is r, and eyeglass 3 is divided into m × n grid lattice point, can also be added Coordinate coefficient, is divided by the radius r less than eyeball pupil.
The line at any one grid lattice point 4 (m, n) and human eye eyeball center is used as an optical axis 2.Herein, it is progressive many (prescription is defined as the prescription power value of focus lens 3m × n grids lattice point 4：Human eye optometry parameter) it is defined as Fij, here：i =1 ... m, j=1 ... n, theoretical astigmatism are Cij, astigmatism axial direction is Aij, design focal power result is fij, astigmatism is cij, astigmatism axle To being aij.According to the prescription of eyeglass 3, the matrix of the focal power, astigmatism and astigmatism axial direction distribution of eyeglass 3m × n grids lattice point 4 is obtained Fij, Cij, Aij。
After the face type data for obtaining eyeglass 3, the m × n focal power f of grid lattice point 4ij, astigmatism cijAnd astigmatism axial direction aijThe matrix of distribution.So, design focal power, the difference between astigmatism and astigmatism axial direction and wearer's prescription are respectively：
ΔFij=Fij-fij
ΔCij=Cij-cij
ΔAij=Aij-aij
Here, Δ Fij、ΔCijWith Δ AijRespectively prescription and design focal power, the difference of astigmatism and astigmatism axial direction.
In order to inquire into the degree of conformity between the focal power that design focal power and design and simulation are obtained, δ is used(m,n)Represent, according to Progressive multi-focal lenses international standard, when the difference in power of prescription and design load is less than or equal to P1, P1(D diopters are=0.12D Writing a Chinese character in simplified form for the unit of focal power is D, and the unit of the International System of Units is m -1 powers), assert that the point meets design requirement, meet Degree δ(m,n)=1；When | fij-Fji| ＞ P2, wherein, P2=0.25D, assert that the point is unsatisfactory for design requirement, degree of conformity δ(m,n)=0； Work as P2≥|fij-Fij| ＞ P1, assert that the point part meets design requirement, degree of conformity meets linear distribution：
I.e.：
M × n focal power degree of conformity the matrix delta of grid lattice point on correspondence eyeglassijFor：
For every bit focal power on m × n grid lattice point 4, assigned not according to desirability in actual use Same weight λ(m,n)(for example regarding long sight near region and add optical channel imaging effect it is particularly significant for wearer, focal power Error is less than P1Weight also should be larger), then respective weights matrix λijFor：
Optical power profile index FpIt is calculated as follows：
And have：
Optical power profile index FpIt is calculated as follows：
Fp=∑ λij*δij
And have：
For the degree of conformity between prescription astigmatism and design load, herein, according to progressive multi-focal lenses international standard, I Define：When | cij-Cij|≤P3(it is less than or equal to P with the astigmatism value difference of design load with mirror prescription3=0.5D), assert that the point meets Design requirement, degree of conformity ε(m,n)=1；When | cij-Cij| the ＞ 2*ADD points are unsatisfactory for design requirement, degree of conformity ε(m,n)=0；Work as 2* ADD≥|cij-Cij| ＞ P3Assert that the point part meets design requirement, degree of conformity meets linear distribution：
I.e.：
The astigmatism degree of conformity matrix of m × n grids lattice point 4 is ε on correspondence eyeglassij。
For every bit astigmatism on grid lattice point 4, different weights are assigned according to desirability in actual use k(m,n), (for example regarding long sight near region and add optical channel imaging effect it is particularly significant for wearer, astigmatic error be less than P3 Weight also should be larger), astigmatism weight matrix be kij。
Astigmatism distribution index CpIt is calculated as follows：
Cp=∑ kij*εij
And have：
∑kij=1
For the degree of conformity between prescription axial direction and design load, according to progressive multi-focal lenses international standard, different In the range of distance light astigmatism, the error amount of astigmatism is also different, therefore, we define a letter A and represent in different astigmatism numbers The error range limit absolute value of the lower axial direction of value.We define：When | Aij-aij|=0 ° of (axial difference with mirror prescription with design load Equal to 0 °), assert that the point meets design requirement, degree of conformity is ω(m,n)=1；When | Aij-aij| ＞ H °, the point is unsatisfactory for design will Ask, degree of conformity is ω(m,n)=0；When H ° >=| aij-Aij| 0 ° of ＞ assert that the point part meets design requirement, and degree of conformity meets linear Distribution：
I.e.：
The astigmatism axial direction degree of conformity matrix of m × n grids lattice point 4 is ω on correspondence eyeglassij。
For every bit astigmatism on grid lattice point 4, different weights are assigned according to desirability in actual use ρ(m,n), astigmatism axial direction weight matrix ρijFor：
Astigmatism axial direction profile exponent ApIt is calculated as follows：
Ap=∑ ρij*ωij
And have：
∑ρij=1
According to above-mentioned definition, progressive additional free surface lens normalization evaluation number is：
Here, σ1, σ2, σ3It is F after normalizationp, Cp, ApThe weight factor threshold value of corresponding distribution.
The design of progressive additional free surface lens 3 focal power, astigmatism under the state of many optical axis 2 are obtained according to above scheme And axially with wearer's prescription regarding far field, near reading range, the degree of conformity and weight factor matrix that add optical channel and spread area.Normalizing After change treatment, calculate the progressive additional free surface lens 3 under many states of the optical axis 2 and evaluate the focal power of eyeglass grid lattice point 4, dissipate Light and axially the weight factor threshold value σ of distribution1, σ2, σ3.According to weight factor threshold value, obtain being designed gradually under many optical axis states The gap entered between multifocal free form surface and prescription, it is thus understood that the error of the parameter of design process.This evaluation method, can Shorten the design cycle, reduce processing percent defective, improve product percent of pass.
We are using with degree of conformity and weight as evaluation criterion and the target of optimization so that final Optimum Design Results are expired Sufficient vision prescription requirement.It is actually respectively to meet angle value in eyeglass evaluation for the design of eyeglass that research difference meets angle value Weight in model, and normalize.The relative weighting and proposition for respectively meeting angle value after statistical analysis draws normalization make up Progressive additional free surface lens calculate the relative weighting calculating side of caused error during initial designs due to design Method, proposition meets the weight factor threshold value of the comfortable focal power of wearer, astigmatism and axial degree of conformity, the distribution of weight factor, The determination of each point degree of conformity size and the accuracy for solving will be directly connected to progressive multi-focal lenses optimization design and add The comfortableness of reliability and wearing after work completion.

Claims (3)

1. a kind of progressive additional free surface lens method of evaluating performance, it is characterised in that
1) mesh generation, a diameter of R of eyeglass are carried out for the progressive additional free surface lens for designing, each grid is just Square, side length of element is r, and eyeglass is divided into m × n grid lattice point；
2) line at any one grid lattice point (m, n) and human eye eyeball center, as an optical axis, is obtaining eyeglass on eyeglass Face type data after, obtain the m × n design focal power f of grid lattice pointij, astigmatism cijWith astigmatism axial direction aijThe square of distribution Battle array, i=1 ... m, j=1 ... n calculate design focal power, the difference between astigmatism and astigmatism axial direction and wearer's prescription；
3) according to progressive multi-focal lenses international standard determine m × n grid lattice point 4 design face type data under focal power, Astigmatism and axial direction are distributed and with the degree of conformity between mirror person's prescription, are assigned according to desirability in actual use different Weight factor, obtains degree of conformity and weight factor matrix；
4) optical axis, repeat step 2 are reselected) and 3), the progressive additional free form surface mirror under obtaining all optical axis states Piece design focal power, astigmatism and axially with wearer's prescription regarding far field, near reading range, plus optical channel and spread area degree of conformity and Weight factor matrix, and normalized, degree of conformity and weight factor are normalized as evaluation number；
5) weight factor threshold value according to the focal power, astigmatism and astigmatism axial direction degree of conformity for meeting wearer comfort evaluates eyeglass Wear performance.
2. progressive additional free surface lens method of evaluating performance according to claim 1, it is characterised in that the step 3) degree of conformity calculation in：On progressive additional free surface lens m × n grid lattice point, when design load and prescription values Difference absolute value less than or equal to standard allow minimum value A when：
| design load-prescription values |≤A
Assert that the point reaches prescription requirements, and degree of conformity is 1；
When the absolute value of design load and the difference of prescription values allows maximum B more than standard：
| design load-prescription values | ＞ B
Assert that the point is unsatisfactory for prescription requirements, degree of conformity is 0；
For design load and the difference of prescription absolute value between A and B, assert that the point part meets design requirement, degree of conformity is full Sufficient linear distribution:
So, for m × n grid lattice point, so that it may represent the degree of conformity of whole eyeglass with degree of conformity matrix, and eyeglass Distance light, dipped beam, plus optical channel and astigmatism area during eyeglass wearing, the attention degree for being assigned is different, each net Sound of laughing point just has different weight focal powers, astigmatism and astigmatism axial direction, degree of conformity matrix and respective weights matrix multiple, obtains mirror The profile exponent F of piece focal power, astigmatism and astigmatism axial directionp、Cp、Ap。
3. progressive additional free surface lens method of evaluating performance according to claim 2, it is characterised in that the step 4) progressive additional free surface lens normalization evaluation number is：
g = F p · σ 1 + C p · σ 2 + σ 3 · A p g = 1
Wherein σ1, σ2, σ3It is F after normalizationp, Cp, ApThe weight factor threshold value of corresponding distribution.
CN201710312417.5A 2017-05-05 2017-05-05 Progressive additional free surface lens method of evaluating performance Expired - Fee Related CN106932921B (en)

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Cited By (4)

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Publication number Priority date Publication date Assignee Title
CN110346364A (en) * 2019-07-23 2019-10-18 重庆远视科技有限公司 A kind of vertometer and its measurement method to eyeglass torsion resistance
CN111752008A (en) * 2020-07-23 2020-10-09 江苏万新光学有限公司 Progressive multifocal lens set
CN114994947A (en) * 2022-07-12 2022-09-02 苏州派视光学有限公司 Surface shape design method of progressive power lens and progressive power lens
CN115079439A (en) * 2022-07-08 2022-09-20 苏州派视光学有限公司 Adaptive lens design system and method

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CN105652466A (en) * 2016-04-13 2016-06-08 上海理工大学 Manufacturing method for progressive ring focus or full-focus freedom surface lens

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110346364A (en) * 2019-07-23 2019-10-18 重庆远视科技有限公司 A kind of vertometer and its measurement method to eyeglass torsion resistance
CN110346364B (en) * 2019-07-23 2021-12-14 重庆远视科技有限公司 Lensometer and method for measuring torsional degree of lens by lensometer
CN111752008A (en) * 2020-07-23 2020-10-09 江苏万新光学有限公司 Progressive multifocal lens set
CN115079439A (en) * 2022-07-08 2022-09-20 苏州派视光学有限公司 Adaptive lens design system and method
CN114994947A (en) * 2022-07-12 2022-09-02 苏州派视光学有限公司 Surface shape design method of progressive power lens and progressive power lens

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