CN107065219A - A kind of design method of colour blindness auxiliary eyeglasses - Google Patents

A kind of design method of colour blindness auxiliary eyeglasses Download PDF

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Publication number
CN107065219A
CN107065219A CN201710098846.7A CN201710098846A CN107065219A CN 107065219 A CN107065219 A CN 107065219A CN 201710098846 A CN201710098846 A CN 201710098846A CN 107065219 A CN107065219 A CN 107065219A
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mi
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CN201710098846.7A
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黄博
曹强
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曹强
黄博
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Publication of CN107065219A publication Critical patent/CN107065219A/en

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    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024Methods of designing ophthalmic lenses
    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/10Filters, e.g. for facilitating adaptation of the eyes to the dark; Sunglasses

Abstract

The present invention relates to a kind of design method of colour blindness auxiliary eyeglasses, belong to visual optics field.The invention aims to solve existing to distinguish the problem of color ancillary technique effect is limited, completely ineffective to colour blindness or can obscure colored and black gray expandable, colour blindness auxiliary eyeglasses of the invention or so picture frame and the colour blindness auxiliary lens in the picture frame of left and right.The present invention for a series of relative light intensity of sub-images aids in color conversion to distinguish color, all effective to severe anomalous trichromatism and colour blindness, while avoiding the problem of easily obscuring colored and grey black.

Description

A kind of design method of colour blindness auxiliary eyeglasses

Technical field

The present invention relates to a kind of design method of colour blindness auxiliary eyeglasses, belong to visual optics field.

Background technology

Perception of the human eye to color can be divided into physical detecting (conduction of photosensitive and nerve information) and psychological feelingses two are main The step of [Color Matching and Color Discrimination, Vivianne C.Smith and Joel Pokorny, 2003, Elsevier Ltd.].In physics experiences link, it would be desirable to consider totally 4 kinds on human eye retina Photosensory cell.L, M and S class cone cell in human eye makes 3 kinds of cone cells to the light of different wave length respectively containing different pigments There are different sensitivity.4th kind of rod cell cell is insensitive to wavelength, only experiences the overall strength of light and only extremely weak in light Obvious effect is just played in environment.Under light stimulation, the nerve signal intensity of three class cone cells release forms a three-dimensional Photosensitive vector, is generally designated as (L, M, S).In daily life, the light of most light sources and physical reflection is in wavelength X All there is more than tens nanometers of spectrum width, the power spectrum P (λ) corresponding (L, M, S) of an incident light is interpreted as three kinds Signal each in visible wavelength range (from λmin=380nm to λmax=830nm) integration:

Wherein L (λ), M (λ) and S (λ) are luminous sensitivity function of the cone cell on wavelength X, and its concrete numerical value is in color Feel that academia is known.So the relative power spectral density of light beam, that is, the light intensity Relative distribution on different wave length, The relative scale of each component of colour vision vector is determined, and then forms the concept of " color " in the brain.And colour vision vector three The weighted sum of component then corresponds to " brightness " that people feels.Single-wavelength light in visible-range, can by human eye color Feel impression be divided into from long wave to shortwave red, yellow, and green, green (color between bluish-green, English is cyan), blue, purple wave band this Six wave bands;The light of different wave length can go out more colors that can be segmented with stack combinations.For the ease of analysis, people generally select The monochromatic light in each wave band is selected as the Typical Representative light of respective color, such as a kind of classics select decree wavelength to be 460nm, The light of tri- kinds of Single wavelengths of 530nm, 650nm represents blue (b), green (g), red (r) three kinds of colors respectively, and yellow (red green Neutral colour) Then elect 575nm and 493nm monochromatic light [On the Nature of Unique as respectively with green (turquoise Neutral colour) Hues, J.D.Molion and Gabriele Jordan, 1997, Taylor&Francis, London];Purple ripple in spectrum Duan Yuewei 380-450nm, but such ultrashort wavelength light seldom occurs in daily life, " purple light " so-called in daily life It is that blue light and feux rouges mixing are produced, therefore without corresponding single features wavelength.

Human eye probably due to heredity or lesion and the relative power spectral density of light can not be perceived, then lose part even it is complete The chromatic discrimination power in portion and form color defect, that is, usually said anomalous trichromatism and colour blindness.The overwhelming majority color defect be by The photopigment of cone cell is abnormal, so make cone cell luminous sensitivity function change caused by.Consider by shadow Loud cone cell, heredity color defect is broadly divided into three basic classes:First, second and Class C defect correspond to L, M and S class respectively Cone cell luminous sensitivity is abnormal.The wherein class color defect of first, second two is caused by the pigment anomaly in L, M cone cell , and pass through X chromosome heredity.Due to pigment molecular structure almost just the same (their 364 ammonia of L and M cone cell classes Only 15 differences in base acid), situation about generally occurring is that the pigment in L cone cells has participated in the property of script M class pigments Matter, becomes L ' classes;Or the pigment in M cone cells has been mixed into the property of normal L classes pigment, becomes M ' classes.Work as L ' and M (L and M ') become it is similar but not exclusively with the case of, human eye is reduced to red green resolution capability, and is habitually referred to as Dyserythrochloropsia.In severe cases, L ' is identical with M (L and M '), and such people just can only see two kinds of colors, generally Referred to as protanopia anerythrochloropsia.Class C vision is that the mutation on No. 7 chromosomes is determined, typically result in S cone cells disappear or not Normally, human eye is caused to observe blueness.In the case of extremely rare, two or more cone cells make a variation simultaneously, cause human eye A kind of color, that is, usually said monochromasia can only be observed.

Different types of color defect incidence difference is very big.Wherein Class B anomalous trichromatism at most, accounts for the 6.3% of male's sum Left and right, women about 0.4%.Other kinds of color defect incidence about 1% or lower.It is one to carry out correction to color defect The market having a high potential.

For such situation, existing representative solution is as follows.

First kind prior art:The light of yellow band is suitably filtered to increase red green resolution ratio., can be according to this in realization Filtration curve designs the light filter film of lens surface.Enchroma companies of the U.S. (http://enchroma.com/) it is exactly base The film of the particular design is plated out on sunglasses substrate in the thinking, so as to release the anomalous trichromatism correction commercially sold Glasses.But this effect by filtering the method for strengthening color saturation is fairly limited.First in theory, the method is really Color can unlikely be made expeditiously using tritanope's chromatic discrimination power in damaged condition, but this limit in damaged condition can not be surmounted Weak person reaches the chromatic discrimination power of normal person.In fact, the chromatic discrimination power that simple filter method can about improve 10% or so (can be known Other gamut area or size), this has certain practical significance for moderate tritanope.But for serious tritanope, it distinguishes color The truth of a matter of ability natively very little, 10% or so improvement is almost without actual effect.The achromate for being zero for chromatic discrimination power, this Method is not just acted on completely.

Equations of The Second Kind prior art:Another kind of so-called protanopia anerythrochloropsia glasses, i.e., be converted into light intensity by color distinction, that is, Light and shade is distinguished.Its principle is:The eyeglass that this kind of glasses are used for images of left and right eyes is the sheet glass for filtering green glow or feux rouges respectively;Zuo Jing Piece filters out feux rouges, and as a result red appears to be black in left eye;Right eyeglass filters out green glow, and as a result green appears to be black in right eye Color.It is red it is green between colouring discrimination, become between two light intensity difference:Left eye look at it is black, right eye look at it is bright be it is red, instead Left eye look at bright, it is green that right eye, which look at dark,.This method can aid in anomalous trichromatism and colour blindness distinguishing colours really, but hold first Easily allow people that red green and black or grey is obscured;And becoming green coloured light because white light removes feux rouges, white light removes green glow and becomes purple Light, so color, which is passed through, can occur greatly change after filter, further results in color and obscures.And this scheme causes right and left eyes to be observed The color and light and shade experienced during same object are entirely different, and wearer can have larger be not suitable with physiology and psychologically. Therefore this kind of achromatopsia glasses are in addition to evading colour blindness test, it is difficult to be used in real life.

On the other hand, the dispersion of light is a kind of basic optical phenomena, and it shows the refractive index n and optical wavelength of optical material It is relevant;N changes more then claim dispersion stronger greatly when wavelength changes.Known by the knowledge of geometric optics, the focal length of concave-convex lens and The refractive index of its making material is relevant, so the focal length of lens is also just influenceed by dispersion, becomes relevant with wavelength.Due to color It is relevant with wavelength, and dispersion is the physical phenomenon related to wavelength, so aiding in human eye distinguishing colours to be possible using dispersion.

Based on case above, the present invention is proposed:A kind of multilayer lens (compound lens) are designed using chromatic dispersion principle, it is not to The visible ray of co-wavelength has visibly different focal length, and this compound lens can be adjusted on demand to the average focal length of visible light wave range Section;Lens wear is made using this compound lens as ophthalmic len, compound lens should be adjusted to regard to the average focal length of visible ray Focal length needed for power correction (myopia, long sight, astigmatism etc.), and compound lens causes same thing to the focus difference of the light of different wave length Body is imaged as a series of (several or many) sub-images in human eye, and each sub-image corresponds to specific optical wavelength, and each There is what can be resolved to regard deep poor (displacement on direction of visual lines) between sub-image;The ratio of each sub-image brightness is observed with regard to that can know The ratio of road different-waveband light intensity, and then understand color.The present invention color distinction be converted into image locus difference and Auxiliary distinguishes color, not merely filters the gold-tinted between red-green glow, i.e. or color distinction is converted into light intensity shade distinctions. And compared to the prior art, the present invention is effective to anomalous trichromatism and colour blindness, and colored and black gray expandable will not be obscured.

Band logical and bandreject filtering film are further plated on compound lens surface, yellow and Bi Se wave bands can be filtered Light, so as to weaken the corresponding sub-image of these wave bands, forms two " dark areas ";With this " dark areas " for object of reference, wearer It is easier to notice the sub-image of each wave band and the difference between them, further regards deep caused by auxiliary wearer identification aberration Difference, improves colour vision resolution ratio.

The content of the invention

The invention aims to solve existing to distinguish that color ancillary technique effect is limited, completely ineffective to colour blindness or can be by The problem of colored and black gray expandable is obscured, proposes a kind of design method of colour blindness auxiliary eyeglasses, and auxiliary anomalous trichromatism and colour blindness distinguish color.

The present invention is achieved by the following technical solutions.

A kind of colour blindness auxiliary eyeglasses, including left and right picture frame and the colour blindness auxiliary lens in the picture frame of left and right.

A kind of design method of colour blindness auxiliary eyeglasses, design principle is:It is different using two panels (or multi-disc) dispersion properties Concavees lens and convex lens superposition composition floor height dispersion more than one compound lens (referred to as " compound lens "), and adjust each single element lens Focal length this compound lens is had visibly different focal length to the visible ray of different wave length (this compound lens is to visible light wave The average focal length of section can be adjusted on demand), average focal length is then met into the compound of the focal length needed for eyesight (remote, myopia) correction Lens wear is made as ophthalmic len in lens, that is, realizes the auxiliary anomalous trichromatism and color of a kind of high dispersion compound lens colour blindness auxiliary eyeglasses The blind function of distinguishing color.

The compound lens causes same object is imaged as in human eye a series of (a few the focus difference of the light of different wave length Individual or many) sub-image, the specific optical wavelength of each sub-image correspondence, and there is what can be resolved to regard between each sub-image Deep poor (displacement on direction of visual lines), so that colour blindness auxiliary eyeglasses wearer observes the ratio of each sub-image brightness with regard to that can know The ratio of road different-waveband light intensity, color conversion is aided in distinguishing color for a series of relative light intensity of sub-images, is not only Filter the gold-tinted between red-green glow or i.e. color distinction is converted into light intensity shade distinctions in right and left eyes.

Band logical is further plated on compound lens surface with resistance optically filtering film, glasses being then made again, so The light of yellow and Bi Se wave bands can be further filtered out, so as to weaken the corresponding sub-image of these wave bands;The Huang Hebi being weakened Color image turns into two dark areas of visual space, and wearer assign the two dark areas as reference substance, it is easier to judge each son The position of image and the brightness difference between them, so that further auxiliary improves colour vision resolution ratio.Thus finally realize A kind of colour blindness auxiliary eyeglasses that plated film is filtered based on high dispersion compound lens and color separation.

The dispersion of optical material refers to that the refractive index n of the material is relevant with light wavelength lambda, when wavelength changes, and n changes are got over Big dispersion is stronger.For with a piece of lens, dispersion make it that the refractive index n of the light of different wave length is different, so that focal length f also differs Sample.Because the refractive index of most optical materials is monotone decreasing and light in visible light wave range to the function n (λ) of wavelength It is sliding, continuous, so the indigo plant (b) of present invention selection typical wavelengths, green (g) they are that representative light carries out discussion below with red (r), And blue light refractive index nb, green glow refractive index ngWith feux rouges refractive index nrMeet nb> ng> nr.Due to making common (near colorless Dissipating) refractive index of the optical glass of lens is less sensitive to wavelength, meetsSo can be simply nb- nr≤ 0.01 material is referred to as low chromatic dispersion material, nb-nr>'s 0.01 is referred to as high chromatic dispersion material.Low (height) chromatic dispersion material is made Lens, referred to as low (height) dispersing lens, high dispersing lens of the invention uses the concavees lens or convex lens that high chromatic dispersion material is made (or Fresnel Lenses or fresnel diffraction lens).

A kind of design method of colour blindness auxiliary eyeglasses, specific design step is:

First, the dispersion number of degrees are selected for D1Compound lens.

A piece of high dispersing lens and a piece of low dispersing lens are superimposed, compound lens is constituted so that it is to red (r), green (g), blue (b) 3 kinds of respective focals for representing light are met

Wherein A and B represent two panels lens, frA、fgAAnd fbAIt is focal length of the A lens to red, green and blue light, f respectivelyrB、fgB And fbBIt is focal length of the B lens to red, green and blue light, f respectivelyrC、fgCAnd fbCIt is Jiao of the compound lens to red, green and blue light respectively Away from frC、fgCAnd fbCBeing simplified mark respectively isr、fgAnd fb;Formula (2) is two adjacent lens A and B focal length Superposition Formula

Wherein fCIt is compound lens focal length, fAAnd FBIt is lens A and B focal length respectively;

Known lens meet n to three kinds of refractive indexes for representing light of blue, green and redb> ng> nr, and a piece of lens (concavees lens Or convex lens) focal length f meet

Wherein R1And R2It is the radian of positive and negative two curved surface of lens respectively, the radian of convex surface (concave surface) is just (negative), n is lens The refractive index of material, d is the distance between positive inverse surface summit;Formula (4) is brought into formula (2), obtained:

Wherein, nrA、ngAAnd nbAIt is lens A material to the refractive index of red, green and blue light, nrB、ngBAnd nbBIt is lens B Material is to the refractive index of red, green and blue light, R1AAnd R2AIt is the radian of positive and negative two curved surfaces of lens A, R1BAnd R2BIt is that lens B is positive and negative The radian of two curved surfaces, dAAnd dBIt is lens A and lens B positive inverse surface vertex distance;

By the corresponding focal length f of green wave bandgAs compound lens to the average focal length of visible ray (because of green wave band blue, green and It is in an intermediate position in red three wave bands, and green wave band is the middle wave band of visible light wave range), while adjusting R1A、R1B、R2A、 R2B、dA、dBDeng lens parameter, make fg、frAnd fbMeet condition

fg=f0(8);

Wherein E1, it is known that f0, it is known that E1It is the high dispersion conditions parameter that unit is (1/ meter), concrete numerical value is according to user's Experience Degree is fed back to select,It is required that chromatic dispersion effects (the focal length of different wave length Difference) substantially;Ensure that " focal length-wavelength " relation is monotonic increase (or successively decreasing), andWithSign by E1Symbol determine:

f0For the average focal length corrected defects of vision known to eyeglass needed for (long sight or myopia) to visible ray;If two panels is saturating Microscope group into compound lens condition formula (6)-(9) can not be met to the bluish-green red three kinds focal lengths for representing light can be with overlapping more Mirror simultaneously adjusts lens surface radian to meet high dispersion conditions formula (6)-(9).

Known lens imaging formula

Wherein λ is optical wavelength, and u is object distance, and f is focal length, and v is image distance, when object and image distance v during as in lens the same side Symbol is just, in lens heteropleural, image distance v symbol is negative;F (λ) represent focal length be wavelength function, and then v (λ) represent exist Image distance is also the function of wavelength during given object distance u;Typical case of the object immediately ahead of eyes is considered, because human eye passes through lens It was observed that regarding deep for object be exactly image distance v (attentions here:Regard deep more farther than " infinity " virtual when v is less than 0 interval scale Depending on depth, without referring to image after one's death), so formula (10) shows that compound lens makes each wave band of same object (each color) respectively Corresponding sub-image is formed, and sub-image has different image distances (depending on deep);When considering that redgreenblue represents light, same object The red, green, blue image space sent is different, becomes the different sub-image in three positions (depending on deep).

Bring formula (10) into formula (6) and then know that the regarding for sub-image of red, green and blue Three Represents color meets deeply

Wherein vr、vgAnd vbIt is regarding deep (image distance) for the sub-image that red, green and blue represent light, formula (11) and (7) is right Image distance difference makees Taylor expansion and retains single order caused by dispersion, obtains approximate formula group

V is wherein usedr≈vg≈vb, and the poor Δ v of red green image distancerg=vr-vgWith the poor Δ v of turquoise image distancegb=vg-vbIt is In a small amount;Mutual distance between three sub-images is by E1Absolute value limitation, | E1| more big then focus difference is bigger, then between sub-image Regard deep poor bigger, so E1Absolute value determine auxiliary distinguish color effect;Green sub-image is in centre, red image and blue shadow As then one in front and one in back arranging.Formula (10) is brought into formula (9) to understand:E1Symbol determine that sub-image puts in order, near To (blue, green, red) the correspondence E of far red, green, blue1For just (negative), but specifically put in order color effect, which does not have shadow, to be distinguished to auxiliary Ring.

According to vision medical practices, dispersion number of degrees D is defined1Meet

WhereinIt is dispersion parameters E1Numerical value when unit is 1/ meter;D1And E1It is equivalent, used when Consumer's Experience and optometry D1, E is used when preparing eyeglass1, formula (13) mutually conversion can be passed through by measuring for two;It is D by the upper acquisition dispersion number of degrees1It is compound Mirror.

D1Parameter carries out selection by user, and its detailed process (dispersion optometry) is:The eyesight of known colour blindness user (remote, myopia) correction requires that the average focal length of ophthalmic len is f0, then make a collection of average focal length and be fixed as f0And have different D1Value is answered Close lens;User is every time by a certain D1The compound lens of value is placed on before eyes (as ophthalmic len) and carries out chromatic discrimination power test and body Test feedback;The average focal length for finally selecting most suitable (distinguish color achievement preferably and sense of discomfort is not obvious) is f0And the dispersion number of degrees are D1Compound lens.

2nd, the compound lens obtained in step one is fabricated to ophthalmic len on picture frame, that is, obtains being based on high dispersion The colour blindness auxiliary eyeglasses of compound lens.

3rd, the colour blindness auxiliary eyeglasses eyeglass outer surface in step 2 plates optics bandreject filtering film respectively, and this is optically thin Film has the cake resistancet of two low transmissivities, and the light of yellow (y) and green color (c) wave band is filtered respectively;By gold-tinted cake resistancet boundary wave Long (gold-tinted cake resistancet minimum wavelength and maximum wavelength) is designated as λy0And λy1, by green smooth cake resistancet boundary wavelength, (green smooth cake resistancet is most Small wavelength and maximum wavelength) it is designated as λc0And λc1, wherein subscript 0 and 1 represents shortwave end and long wave end respectively, subscript y and c difference Represent yellow and Bi Se.To determine filming parameter, it is considered to which light transmission of the wavelength in cake resistancet is e during ideal filtering plated film0 ≈ 0, light transmission of the wavelength outside cake resistancet is e1≈ 1, the transmissivity of such filter coating is designated as T on the function of wavelength X (λ), then

Define transmittance E3For the strength ratio of human eye SML signals after being filtered under white-light illuminating and before filtering, that is,:

Wherein Pw(λ) is white-light spectrum, and its concrete numerical value (can be made by actual demand under indoor light or under natural light With) chosen in some international standard white-light spectrums, S (λ), M (λ) and L (λ) they are sense of S, M and L cone cell to light wavelength lambda Luminous sensitivity function, E3S、E3MAnd E3LIt is the photosensitive letter after S, M and L cone cell are filtered under white light illumination and before optical filtering respectively Number intensity, λmax=830nm and λmin=380nm is the upper and lower bound wavelength of visible light wave range;It is required that filming parameter is full Sufficient white balance conditions:

E3S=E3M=E3L=E3, (16)

So that S, M and the mutual ratios of L signal that white light is produced are not changed before and after using filter coating, white is kept It is still muted color (canescence) after optical filtering;Formula (15) and (16) can regard equation of 4 rows on filtering parameter as, for The E given between 0 to 13, corresponding 4 filtering parameters can be obtained with numerical method.E is known by formula (14) and (15)3It is smaller, then It is required that photoreceptor signal after filtering is weaker (transmitted light less, the light that is filtered more), then filtering bandwidth λ is requiredy1y0And λc1- λc0It is bigger, then make it that " dark areas " of generation is wider on space or depth perception, user is more easily observed that " dark areas " and with this For reference;But E3Can not be too small and make remaining light intensity too weak;So according to the specific eyesight of user and should be used in specific implementation Feed back (such as distinguishing color test result), be E in the case where " dark areas " can be recognized3Select numerical value as small as possible;Such light Bandreject filtering plated film is learned by us to be referred to as " color separation filtering plated film ".

User selects E3The experience process of feedback of parameter is referred to as " E3Parameter optometry ", its detailed process is:In 0 to 1 Even some E of selection3Concrete numerical value, assumed appearance divergence number be D1User match somebody with somebody wear different E3It is worth but has identical D1The plated film of value Glasses, carry out can use E in chromatic discrimination power test and experience feedback, feedback procedure3Initial value be 0.5, then search one by one obtain Optimal E3Value.

The high dispersion prism that the high dispersing lens can be made of high chromatic dispersion material is substituted, and low dispersing lens can use low color The low dispersion prism that scattered material is made is substituted, and high dispersion composite prisms is made, auxiliaring effect is constant;

On common spectacles, the compound lens or compound that a small pieces are designed with the method for the invention is inlayed or is superimposed Prism (the high dispersion compound lens of this small pieces is less than the area of common spectacles), can also obtain similar effect.

There is the compound lens of the different dispersion number of degrees as the left and right eyeglass of glasses using one group simultaneously, can also obtain same Effect, but they are in addition to each meeting formula (6)-(9), and left (L) right (R) dispersion differences relation should be met each other

Wherein E2It is the left and right dispersion differences conditional parameter that unit is (1/ meter), and E2>=0, frL、fgLAnd fbLIt is that left side is compound Lens are to the focal length of red, green and blue light, frR、fgRAnd fbRIt is focal length of the right side compound lens to red, green and blue light;By formula (10) when bringing transmitted through glasses observation object knowable to formula (17) into, left and right eyeglass focal length is identical for green glow, so left and right picture Identical away from intensity of variation, green image is only subjected to displacement on depending on deep direction;But the left and right eyeglass focal length for feux rouges and blue light Difference, the change degree of left and right image distance is different, this make the red that eyes observe and blue sub-image not only with green image it Between have regarding deep poor, and translation in opposite direction further occurs in depth plane (perpendicular to the plane of sight) waiting, reinforcement is auxiliary Wearer is helped to distinguish color;Left and right dispersion differences conditional parameter E2Numerical value and E1Value have the identical order of magnitude, and principle etc. should be used It is same as " the E of " dispersion optometry "2Parameter optometry " method is obtained.

Beneficial effect

1st, glasses are made as eyeglass in the high dispersion compound lens of two panels identical by the present invention, and a color body is imaged For a series of locus (depending on deep) different sub-image, the difference in brightness between the sub-image of diverse location shows object Colouring information, so as to aid in tritanope or even achromate's distinguishing colours.

2nd, the high dispersion compound lens of the invention that two panels is had into different degree of dispersion makes as the left and right eyeglass of glasses Sub-image not only regarding deep direction Shang You positions difference, is also being waited depending on there is the position of horizontal direction in deep (perpendicular to sight) plane Move, further auxiliary wearer differentiates the alternate position spike and luminance difference between sub-image.

3rd, the present invention plates color separation filtering film in high dispersion compound lens outer surface, and two are produced in a series of sub-images " dark areas ", using these " dark areas " as reference substance can further aid in wearer recognize sub-image between position (depending on It is deep) poor and luminance difference, improve color resolution.

4th, the present invention for a series of relative light intensity of sub-images aids in color conversion to distinguish color, to severe anomalous trichromatism and colour blindness All effectively, while avoiding the problem of easily obscuring colored and grey black.

Brief description of the drawings

Fig. 1 is high dispersing lens optical schematic diagram, and ordinary lenses have almost identical focal length (subgraph to the light of different wave length A);High dispersing lens has different focal lengths (subgraph B) to the light of different wave length;The approximate infinity of the average focal length of visible ray is (i.e.) compound high dispersing lens a kind of implementation (subgraph C, example be two panels lens overlap);

The high dispersing lens auxiliary that Fig. 2 is the present invention distinguishes color schematic diagram, and subgraph A represents the light meeting of same image different-waveband It is imaged on different places;Subgraph B represents eye-observation picture under normal circumstances, picture blur-free imaging on the retina;Subgraph C Represent that human eye sees the sub-image of several different colours through after high dispersion compound lens, aberration is converted into regarding deep poor;

Fig. 3 is that the assembling completion figure (subgraph A) of anomalous trichromatism glasses and a kind of of the present invention inexpensive include small-sized anomalous trichromatism mirror The derived version (subgraph B) of piece;

Fig. 4 be the present invention high dispersing lens on the basis of bonus point color plated film schematic diagram (subgraph A), and color separation filtering plated film The example (subgraph B) of parameter.

Wherein, the complex optics of 1- first, the complex optics of 2- second, 3- picture frames, 4- common spectacles piece, 5- triplex mirrors Piece, the complex optics of 6- the 4th, 7- color separations cake resistancet resistance film, the high dispersion convex lens of 8-, the low dispersion concavees lens of 9-.

Embodiment

Technical scheme is described in further detail below in conjunction with the accompanying drawings.

Embodiment 1

So that the user of normal visual acuity (without remote, myopia) wears colour blindness auxiliary eyeglasses as an example, concrete methods of realizing is:

1.1, it is known that high dispersion and low chromatic dispersion material are respectively the heavy-lanthanide flint (LaSF9) and fluorine crown of SCHOTT companies (FK51A) optical glass, they are in the refractive index of characteristic wavelength:

Color, wavelength (nm) It is red, 650 Huang, 575 It is green, 530 It is green, 493 Indigo plant 460 LaSF9 refractive indexes 1.8432 1.8520 1.8594 1.8673 1.8763 FB refractive indexes 1.4849 1.4869 1.4886 1.4902 1.4920

Table 1, refractive index of the optical glass in characteristic wavelength

1.2, a piece of high dispersion convex lens and a piece of low dispersion concavees lens composition compound lens are made, method is as follows.10 Nearby take some D1Value, E is obtained with formula (13)1;Due to E1> 0, knows from formula (9)In formula (5), order Convex lens side convex surface radian value is R1A=RAAnd opposite side is plane (R2A=∞), concavees lens side is plane (R1B=∞) And opposite side concave surface radian value is R2B=RA, radian value represents convex (recessed) face to be just (negative), and it is (thin further to ignore lens thickness Lens are approximate), i.e. dA=dB=0;Therefore formula (5) can be reduced to only contain refractive index and RA、RBForm:

Consider twenty-twenty user f0=∞ andThen formula (8) is changed into

It can solveAnd bring the 1st and the 3rd row of formula (18) into and obtainWithOn RAExpression Formula.Consider restrictive condition formula (9), high dispersion conditions (6) can be split as two critical equations:

With

WillWithOn RAExpression formula bring into and solve respectively, and take wherein make high dispersion conditions (6) set up that RA;With obtained RAWithCalculate RB.So obtain the lens radian value table of anopsia correction.

D1 5 10 15 20 E1(1/m) 0.05 0.1 0.15 0.2 RA(m) 0.194 0.097 0.065 0.048 RB(m) -0.110 -0.055 -0.037 -0.028

Table 2, the dispersing lens radian table of anopsia correction;Materials A and B are respectively the heavy-lanthanide flint of SCHOTT companies And fluorine crown (FK51A) optical glass (LaSF9).

1.3, high dispersion concavees lens and low dispersion convex lens are made respectively according to lens radian table, then it is flat by their two Face is bonded together with optical resin (clear binder), obtains D1Take different value and(there is no the vision correction number of degrees) High dispersion compound lens, as Fig. 2 .A illustrate.

1.4, high dispersion compound lens obtained in the previous step is cut into suitable size, being assemblied on spectacle-frame turns into colour blindness Auxiliary eyeglasses.

1.5, ask the user of normal visual acuity (without remote, myopia) to try different D on1Glasses carry out distinguish color test and select properly D1Glasses, finally give the colour blindness auxiliary eyeglasses that plated film is filtered without color separation of this suitable specific user.

1.6, represent not needing colour blindness auxiliary usually in certain customers, only part occasion needs the feelings carefully distinguished between colors Under condition, the compound lens obtained in embodiment 1.3 is cut into small eyeglass;Common plain glass spectacles are separately taken, are cut on plano lens The cavity of suitable small eyeglass is cut out, small eyeglass is inlayed into, can also obtain being adapted to the colour blindness auxiliary eyeglasses of this specific user (Fig. 3 .B).

Embodiment 2

So that myopia degree wears colour blindness auxiliary eyeglasses for 200 degree of specific user as an example, concrete methods of realizing:

2.1, be the same as Example 1.1.

2.2, be the same as Example 1.2 makes a piece of high dispersion concavees lens and a piece of low dispersion convex lens group into compound lens, side Method is as follows.Some D are taken near -101Value, E is obtained with formula (13)1;Due to E1< 0, knows from formula (9)It is public Formula (19) is that 200 (spectacles focal length is f for myopia degree0=-0.5 meter) user be changed into

(22) are brought into the 1st of (18) the, 3 rows to obtainWithOn RAExpression formula, and bring result into critical equation (20) and (21) and two R are tried to achieve respectivelyAValue, and take that R for wherein setting up high dispersion conditions (6)A;With formula (22) from Obtain RACalculating RB;The new lens radian value table for 200 degree of myopia is finally given, wherein just (negative) number expression is convex (recessed) Lens.

D1 -5 -10 -15 -20 E1(1/m) -0.05 -0.1 -0.15 -0.2 RA(m) -0.278 -0.114 -0.072 -0.052 RB(m) 0.448 0.088 0.049 0.034

Table 3, for the dispersing lens radian table of 200 degree of myopia;Materials A and B are respectively the heavy-lanthanide flint of SCHOTT companies And fluorine crown (FK51A) optical glass (LaSF9).

2.3, be the same as Example 1.3-1.5 method (only f0Numerical value is different), it is final to obtain for there is the specific use of 200 degree of myopia The colour blindness auxiliary eyeglasses that plated film is filtered without color separation at family.

2.4, certain customers represent not needing colour blindness auxiliary usually, and only part occasion needs carefully to distinguish between colors, so The colour blindness reliever eyeglass obtained in embodiment 2.3 is cut into small eyeglass;The glasses that common myopia degree is 200 are separately taken, The cavity of suitable small eyeglass is cut out on common eyeglass, small eyeglass is inlayed into, obtains being adapted to the color of this specific user Blind auxiliary eyeglasses (Fig. 3 .B).

Embodiment 3

With without long sight, myopia (f0=∞) and final prescription is left eye dispersion D1=10, right eye D1=5 user matches somebody with somebody Wear exemplified by colour blindness auxiliary eyeglasses, concrete methods of realizing is:

3.1, be the same as Example 1.1 to 1.3 obtains a collection of f0=∞ and there are different D1High dispersing lens.

3.2, these high dispersing lens are cut into suitable size, ophthalmic len is made.These ophthalmic lens can be very convenient Ground is arranged on and is specifically used on the spectacle frame of optometry, can also be changed by easily disassembling.

3.3, making the left and right eyeglass of glasses has identical D1, and according to embodiment 1.5 obtain user's eyes D1 it is identical when most Good value is 10.

3.4, keep the left eyeglass of glasses constant, be individually replaced the D of right eye eyeglass1, user is made by the progress of inventive step two Distinguish color test and experience feedback (" E2Parameter optometry "), until having found suitable D1Right eyeglass, right eye D1For 5.

3.5, left and right eyeglass obtained in the previous step is firmly installed, is finally fixed on spectacle frame, obtained left and right eyeglass D1Different colour blindness auxiliary eyeglasses.

3.6, E is calculated by formula (17) according to the eyeglass focal length selected20.05/ meter of parameter, or directly record left and right D1 Respectively 10 and 5, inform that user record is got off in case next time uses with mirror.

Embodiment 4

1, prepare a collection of D with the method for embodiment 11=10 and without remote, myopia degree (f0=∞) without color separation filter plated film Colour blindness auxiliary eyeglasses eyeglass, but not yet be arranged on spectacle-frame on.

2, choose E by the requirement of step 43Representative value is 0.25,0.5,0.75, and plated film ginseng is calculated by formula (14)-(16) Number (λy0, λy1) and (λc0, λc1), then by the glasses lens plated of previous step;The plated film compound lens of acquisition is cut into ophthalmic len big It is small.Filming parameter example is as follows:

E3 0.25 0.5 0.75 λy0(nm) 618 607 604 λy1(nm) 527 555 581 λc0(nm) 497 511 510 λc1(nm) 433 449 465

Table 4, color separation filters the boundary parameter table of plated film

The corresponding specific color of cake resistancet that white balance conditions formula (15) and (16) are provided may be offset slightly from yellow and Green color, such as E3What " yellow filter section " was actually filtered is the orange ripple near 590nm when=0.75;But as long as telling user phase Answer " dark areas " corresponding orange, user still can be according to sub-image position judgment color.Fig. 4 .A illustrate the high dispersion of plated film saturating Mirror, wherein (8) are high dispersion convex lens, (9) are low dispersion concavees lens, and it is high dispersion compound lens that (8) and (9), which stick together, (7) it is that the color separation for being plated in lens surface filters film, i.e., band hinders film.

3, plated film lens obtained in the previous step are arranged on spectacle-frame, different E have been obtained3It is worth but has identical D1Colour blindness Auxiliary eyeglasses.

4, allow applicable D1=10 and without remote, near-sighted user try on glasses obtained in the previous step carry out chromatic discrimination power test and Experience feedback;E is can use in feedback procedure3Initial value be 0.5, then search one by one obtains optimal E3Value (such as distinguishes color achievement highest And without sense of discomfort);The glasses finally chosen are the colour blindness auxiliary eyeglasses for being adapted to such user.

5, the E for asking user record oneself suitable3For being used with mirror in the future.

The general principle of the present invention is to filter plated film using high-dispersive optical lens combination and color separation, by same object not Image with color is separated in visual space, and auxiliary human eye distinguishes color, improves anomalous trichromatism and the chromatic discrimination power of achromate.More than Described is only the preferred embodiments of the present invention, is not intended to limit the invention.For those skilled in the art, it is of the invention There can be various modifications and variations.Within the spirit and principles of the invention, any modification, equivalent substitution and improvements made Deng should be included in protection scope of the present invention.

Claims (6)

1. a kind of design method of colour blindness auxiliary eyeglasses, it is characterised in that:Colour blindness auxiliary eyeglasses include:Left and right picture frame and it is arranged on Colour blindness auxiliary lens in the picture frame of left and right;
Colour blindness auxiliary eyeglasses design method is concretely comprised the following steps:
First, the dispersion number of degrees are selected for D1Compound lens;
A piece of high dispersing lens and a piece of low dispersing lens are superimposed, compound lens is constituted so that it is to red (r), green (g), blue (b) 3 kinds of respective focals for representing light are met
<mrow> <mtable> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>r</mi> </msub> </mfrac> <mo>&amp;equiv;</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>C</mi> </mrow> </msub> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>B</mi> </mrow> </msub> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> <mo>&amp;equiv;</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>g</mi> <mi>C</mi> </mrow> </msub> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>g</mi> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>g</mi> <mi>B</mi> </mrow> </msub> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>b</mi> </msub> </mfrac> <mo>&amp;equiv;</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>C</mi> </mrow> </msub> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>B</mi> </mrow> </msub> </mfrac> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
Wherein A and B represent two panels lens, frA、fgAAnd fbAIt is focal length of the A lens to red, green and blue light, f respectivelyrB、fgBAnd fbB It is focal length of the B lens to red, green and blue light, f respectivelyrC、fgCAnd fbCIt is focal length of the compound lens to red, green and blue light respectively, frC、fgCAnd fbCBeing simplified mark respectively isr、fgAnd fb;Formula (2) is two adjacent lens A and B focal length Superposition Formula
<mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>C</mi> </msub> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>A</mi> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>B</mi> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
Wherein fCIt is compound lens focal length, fAAnd fBIt is lens A and B focal length respectively;
Known lens meet n to three kinds of refractive indexes for representing light of blue, green and redb> ng> nr, and a piece of lens, i.e. concavees lens or The focal length f of person's convex lens is met
<mrow> <mfrac> <mn>1</mn> <mi>f</mi> </mfrac> <mo>=</mo> <mrow> <mo>(</mo> <mi>n</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>2</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>nR</mi> <mn>1</mn> </msub> <msub> <mi>R</mi> <mn>2</mn> </msub> </mrow> </mfrac> <mi>d</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
Wherein R1And R2It is the radian of positive and negative two curved surface of lens respectively, the radian on convex surface is just, the radian of concave surface is negative, and n is lens The refractive index of material, d is the distance between positive inverse surface summit;Formula (4) is brought into formula (2), obtained:
<mrow> <mtable> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>r</mi> </msub> </mfrac> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>n</mi> <mrow> <mi>r</mi> <mi>A</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>n</mi> <mrow> <mi>r</mi> <mi>A</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>n</mi> <mrow> <mi>r</mi> <mi>A</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>A</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>A</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mi>d</mi> <mi>A</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>n</mi> <mrow> <mi>r</mi> <mi>B</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>B</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>B</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>n</mi> <mrow> <mi>r</mi> <mi>B</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>n</mi> <mrow> <mi>r</mi> <mi>B</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>B</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>B</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mi>d</mi> <mi>B</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>n</mi> <mrow> <mi>g</mi> <mi>A</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>n</mi> <mrow> <mi>g</mi> <mi>A</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>n</mi> <mrow> <mi>g</mi> <mi>A</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>A</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>A</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mi>d</mi> <mi>A</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>n</mi> <mrow> <mi>g</mi> <mi>B</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>B</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>B</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>n</mi> <mrow> <mi>g</mi> <mi>B</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>n</mi> <mrow> <mi>g</mi> <mi>B</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>B</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>B</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mi>d</mi> <mi>B</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>b</mi> </msub> </mfrac> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>n</mi> <mrow> <mi>b</mi> <mi>A</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>A</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>n</mi> <mrow> <mi>b</mi> <mi>A</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>n</mi> <mrow> <mi>b</mi> <mi>A</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>A</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>A</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mi>d</mi> <mi>A</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>n</mi> <mrow> <mi>b</mi> <mi>B</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>B</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>B</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>n</mi> <mrow> <mi>b</mi> <mi>B</mi> </mrow> </msub> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>n</mi> <mrow> <mi>b</mi> <mi>B</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>1</mn> <mi>B</mi> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mn>2</mn> <mi>B</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mi>d</mi> <mi>B</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
Wherein, nrA、ngAAnd nbAIt is lens A material to the refractive index of red, green and blue light, nrB、ngBAnd nbBIt is lens B material To the refractive index of red, green and blue light, R1AAnd R2AIt is the radian of positive and negative two curved surfaces of lens A, R1BAnd R2BIt is positive and negative two of lens B The radian of curved surface, dAAnd dBIt is lens A and lens B positive inverse surface vertex distance;
By the corresponding focal length f of green wave bandgR is adjusted simultaneously to the average focal length of visible ray as compound lens1A、R1B、R2A、R2B、dA、 dBDeng lens parameter, make fg、frAnd fbMeet condition
<mrow> <mi>min</mi> <mo>{</mo> <mo>|</mo> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>r</mi> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> </mrow> <mo>|</mo> <mo>,</mo> <mo>|</mo> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>b</mi> </msub> </mfrac> </mrow> <mo>|</mo> <mo>}</mo> <mo>=</mo> <mo>|</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>|</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
<mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>r</mi> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> <mo>)</mo> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>b</mi> </msub> </mfrac> <mo>)</mo> <mo>&gt;</mo> <mn>0</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mo>(</mo> <mn>7</mn> <mo>)</mo> <mo>;</mo> </mrow>
fg=f0(8);
Wherein E1, it is known that f0, it is known that E1It is the high dispersion conditions parameter that unit is (1/ meter), concrete numerical value is anti-according to the Experience Degree of user Present to select,Ensure that chromatic dispersion effects are obvious; Ensure that " focal length-wavelength " relation is monotonic increase or successively decreased, andWithSign by E1Symbol Determine:
<mrow> <mtable> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>r</mi> </msub> </mfrac> <mo>&lt;</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> <mo>&lt;</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>b</mi> </msub> </mfrac> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mi>f</mi> </mrow> </mtd> <mtd> <mrow> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>r</mi> </msub> </mfrac> <mo>&gt;</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>g</mi> </msub> </mfrac> <mo>&gt;</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mi>b</mi> </msub> </mfrac> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mi>f</mi> </mrow> </mtd> <mtd> <mrow> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>&lt;</mo> <mn>0</mn> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
f0To the average focal length of visible ray known to the eyeglass for needed for correcting defects of vision;If the compound lens of two panels lens composition The bluish-green red three kinds focal lengths for representing light can not be met with condition formula (6)-(9) with overlapping more poly-lens and to adjust lens surface Radian is to meet high dispersion conditions formula (6)-(9);
Known lens imaging formula
<mrow> <mfrac> <mn>1</mn> <mrow> <mi>v</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <mi>u</mi> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
Wherein λ is optical wavelength, and u is object distance, and f is focal length, and v is image distance, when object and during as in lens the same side image distance v symbol For just, in lens heteropleural image distance v symbol is negative;F (λ) represents that focal length is the function of wavelength, and then v (λ) expressions are given Image distance is also the function of wavelength during object distance u;
Bring formula (10) into formula (6) and then know that the regarding for sub-image of red, green and blue Three Represents color meets deeply
<mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> <mo>{</mo> <mo>|</mo> <mrow> <mfrac> <mn>1</mn> <msub> <mi>v</mi> <mi>r</mi> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>v</mi> <mi>g</mi> </msub> </mfrac> </mrow> <mo>|</mo> <mo>,</mo> <mo>|</mo> <mrow> <mfrac> <mn>1</mn> <msub> <mi>v</mi> <mi>g</mi> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>v</mi> <mi>b</mi> </msub> </mfrac> </mrow> <mo>|</mo> <mo>}</mo> <mo>=</mo> <mo>|</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>|</mo> <mo>,</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
Wherein vr、vgAnd vbIt is that the sub-image that red, green and blue represent light regards deep (image distance), by formula (11) and (7) to dispersion Caused image distance difference makees Taylor expansion and retains single order, obtains formula group
<mrow> <mtable> <mtr> <mtd> <mrow> <mi>min</mi> <mo>{</mo> <mrow> <mo>|</mo> <mfrac> <mrow> <msub> <mi>&amp;Delta;v</mi> <mrow> <mi>r</mi> <mi>g</mi> </mrow> </msub> </mrow> <msubsup> <mi>v</mi> <mi>g</mi> <mn>2</mn> </msubsup> </mfrac> <mo>|</mo> </mrow> <mo>,</mo> <mrow> <mo>|</mo> <mfrac> <mrow> <msub> <mi>&amp;Delta;v</mi> <mrow> <mi>g</mi> <mi>b</mi> </mrow> </msub> </mrow> <msubsup> <mi>v</mi> <mi>g</mi> <mn>2</mn> </msubsup> </mfrac> <mo>|</mo> </mrow> <mo>}</mo> <mo>=</mo> <mrow> <mo>|</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>|</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>&amp;Delta;v</mi> <mrow> <mi>r</mi> <mi>g</mi> </mrow> </msub> <msub> <mi>&amp;Delta;v</mi> <mrow> <mi>g</mi> <mi>b</mi> </mrow> </msub> <mo>&gt;</mo> <mn>0</mn> </mrow> </mtd> </mtr> </mtable> <mo>,</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> </mrow> </mrow>
Wherein Δ vrg=vr-vgIt is that red green image distance is poor, Δ vgb=vg-vbIt is that turquoise image distance is poor;Between three sub-images it is mutual away from From by E1Absolute value limitation, by formula (10) bring into formula (9) understand:E1Symbol determine that sub-image puts in order, near To far red, green, blue correspondence E1For just, on the contrary is negative;
Define dispersion number of degrees D1Meet
<mrow> <msub> <mi>D</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>100</mn> <mo>&amp;times;</mo> <msub> <mover> <mi>E</mi> <mo>^</mo> </mover> <mn>1</mn> </msub> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> </mrow> </mrow>
WhereinIt is dispersion parameters E1Numerical value when unit is 1/ meter;D1And E1It is equivalent, D is used when Consumer's Experience and optometry1, E is used when preparing eyeglass1, measure for two and mutually changed by formula (13);The f as known to upper basis0And D1Average focal length, which can be made, is f0And the dispersion number of degrees are D1Compound lens;
2nd, the compound lens obtained in step one is fabricated to ophthalmic len on picture frame, that is, obtains being combined based on high dispersion The colour blindness auxiliary eyeglasses of lens.
2. a kind of design method of colour blindness auxiliary eyeglasses according to claim 1, it is characterised in that:In the outer of compound lens Surface plates optics bandreject filtering film, and filming parameter determines that method is as follows:
By two low transmissivity cake resistancets with resistance film, the light of yellow (y) and green color (c) wave band is filtered respectively;Gold-tinted is filtered Wavestrip boundary wavelength (gold-tinted cake resistancet minimum wavelength and maximum wavelength) is designated as λy0And λy1, wherein, green smooth cake resistancet boundary wavelength (green smooth cake resistancet minimum wavelength and maximum wavelength) is designated as λc0And λc1, wherein subscript 0 and 1 represents shortwave end and long wave end respectively, Subscript y and c represent yellow and Bi Se respectively;Light transmission of the wavelength in cake resistancet is e when filtering plated film0≈ 0, wavelength is in filter Light transmission outside wavestrip is e1≈ 1, the transmissivity relative wavelength λ of such filter coating function is designated as T (λ), then
<mrow> <mi>T</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <msub> <mi>e</mi> <mn>0</mn> </msub> </mtd> <mtd> <mtable> <mtr> <mtd> <mrow> <mi>i</mi> <mi>f</mi> </mrow> </mtd> <mtd> <mrow> <mi>&amp;lambda;</mi> <mo>&amp;Element;</mo> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;lambda;</mi> <mrow> <mi>y</mi> <mn>0</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>&amp;lambda;</mi> <mrow> <mi>y</mi> <mn>1</mn> </mrow> </msub> <mo>&amp;rsqb;</mo> <mi>o</mi> <mi>r</mi> <mi>&amp;lambda;</mi> <mo>&amp;Element;</mo> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;lambda;</mi> <mrow> <mi>c</mi> <mn>0</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>&amp;lambda;</mi> <mrow> <mi>c</mi> <mn>1</mn> </mrow> </msub> <mo>&amp;rsqb;</mo> </mrow> </mtd> </mtr> </mtable> </mtd> </mtr> <mtr> <mtd> <msub> <mi>e</mi> <mn>1</mn> </msub> </mtd> <mtd> <mrow> <mi>o</mi> <mi>t</mi> <mi>h</mi> <mi>e</mi> <mi>r</mi> <mi>&amp;lambda;</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>14</mn> <mo>)</mo> </mrow> </mrow>
Define transmittance E3To use the strength ratio of human eye SML signals when after filter coating and without filter coating under white light conditions, also It is:
<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>E</mi> <mrow> <mn>3</mn> <mi>S</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;lambda;</mi> <mi>min</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>max</mi> </msub> </msubsup> <msub> <mi>P</mi> <mi>w</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>S</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>T</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>&amp;lambda;</mi> </mrow> <mrow> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;lambda;</mi> <mi>min</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>max</mi> </msub> </msubsup> <msub> <mi>P</mi> <mi>w</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>S</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>&amp;lambda;</mi> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>E</mi> <mrow> <mn>3</mn> <mi>M</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;lambda;</mi> <mi>min</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>max</mi> </msub> </msubsup> <msub> <mi>P</mi> <mi>w</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>M</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>T</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>&amp;lambda;</mi> </mrow> <mrow> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;lambda;</mi> <mi>min</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>max</mi> </msub> </msubsup> <msub> <mi>P</mi> <mi>w</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>M</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>&amp;lambda;</mi> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>E</mi> <mrow> <mn>3</mn> <mi>L</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;lambda;</mi> <mi>min</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>max</mi> </msub> </msubsup> <msub> <mi>P</mi> <mi>w</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>L</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>T</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>&amp;lambda;</mi> </mrow> <mrow> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;lambda;</mi> <mi>min</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>max</mi> </msub> </msubsup> <msub> <mi>P</mi> <mi>w</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>L</mi> <mrow> <mo>(</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>&amp;lambda;</mi> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> <mo>,</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>15</mn> <mo>)</mo> </mrow> </mrow>
Wherein Pw(λ) is white-light spectrum, is chosen in its concrete numerical value international standard white-light spectrum, S (λ), M (λ) and L (λ) be S, M and L cone cells are to the luminous sensitivity function of light wavelength lambda, E3S、E3MAnd E3LIt is that S, M and L cone cell are shone in white light respectively Penetrate the photoreceptor signal intensity after lower optical filtering and before optical filtering, λmax=830nm and λmin=380nm is the upper limit of visible light wave range And lower wavelength;It is required that filming parameter meets white balance conditions:
E3S=E3M=E3L=E3, (16)
So that S, M and the mutual ratios of L signal that white light is produced are not changed before and after using filter coating, white is kept in filter It is still muted color (canescence) after light;For the E given between 0 to 13, corresponding 4 filtering can be obtained with numerical method Parameter.
3. a kind of design method of colour blindness auxiliary eyeglasses according to claim 1, it is characterised in that:High dispersing lens can be used The high dispersion prism that high chromatic dispersion material is made is substituted, and the low dispersion prism that low dispersing lens can be made of low chromatic dispersion material is replaced In generation, high dispersion composite prisms are made.
4. a kind of design method of colour blindness auxiliary eyeglasses according to claim 1, it is characterised in that:On common spectacles, Inlay or be superimposed a high dispersion compound lens, while this high dispersion compound lens is less than the area of common spectacles.
5. a kind of design method of colour blindness auxiliary eyeglasses according to claim 1, it is characterised in that:Have not homochromy by one group Divergence number compound lens can also make auxiliaring effect constant respectively as the left and right eyeglass of glasses, but they except each satisfaction Beyond formula (3), left (L) right (R) dispersion differences relation should be met each other.
<mrow> <mtable> <mtr> <mtd> <mrow> <mi>min</mi> <mo>{</mo> <mrow> <mo>|</mo> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>L</mi> </mrow> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>R</mi> </mrow> </msub> </mfrac> </mrow> <mo>|</mo> </mrow> <mo>,</mo> <mrow> <mo>|</mo> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>L</mi> </mrow> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>R</mi> </mrow> </msub> </mfrac> </mrow> <mo>|</mo> </mrow> <mo>}</mo> <mo>=</mo> <msub> <mi>E</mi> <mn>2</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>L</mi> </mrow> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>R</mi> </mrow> </msub> </mfrac> <mo>)</mo> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>L</mi> </mrow> </msub> </mfrac> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>R</mi> </mrow> </msub> </mfrac> <mo>)</mo> <mo>&lt;</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>g</mi> <mi>L</mi> </mrow> </msub> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>f</mi> <mrow> <mi>g</mi> <mi>R</mi> </mrow> </msub> </mfrac> </mrow> </mtd> </mtr> </mtable> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>17</mn> <mo>)</mo> </mrow> </mrow>
Wherein E2It is that unit is (1/ meter) left and right dispersion differences conditional parameter.
6. a kind of design method of colour blindness auxiliary eyeglasses according to claim 1, it is characterised in that:The combination of compound lens Mode:For 1) two panels or multi-disc concavees lens;2) two panels or multi-disc convex lens;3) a piece of or multi-disc concavees lens and it is a piece of or Person's multi-disc convex lens.
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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1325501A (en) * 1998-11-02 2001-12-05 革命眼镜公司 Auxiliary eyewear attachment methods and apparatus
CN1365654A (en) * 2001-03-06 2002-08-28 中国科学院长春光学精密机械与物理研究所 Glasses for correcting color blindness and method for improving color discrimination ability
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