CN112987293A

CN112987293A - Lens parameter determination method, device, electronic equipment, storage medium and lens

Info

Publication number: CN112987293A
Application number: CN202110434712.4A
Authority: CN
Inventors: 何建行; 邵文龙; 邓冬岩; 伏继光; 刘谕陪; 唐志锋
Original assignee: Bioisland Laboratory
Current assignee: Bioisland Laboratory
Priority date: 2021-04-22
Filing date: 2021-04-22
Publication date: 2021-06-18
Anticipated expiration: 2041-04-22
Also published as: CN112987293B

Abstract

The embodiment of the disclosure discloses a lens parameter determination method, a lens parameter determination device, an electronic device, a storage medium and a lens. The lens parameter determining method comprises the following steps: a sub-pixel size obtaining step, wherein the sub-pixel size is obtained based on the display screen size and the number of pixels; a moire fringe spatial frequency calculation step, wherein, based on the maximum cut-off contrast, the value range of the moire fringe spatial frequency is calculated; a period ratio calculation step, wherein the value range of the period ratio is calculated based on the value range of the moire fringe spatial frequency and the lens tooth form period; a tooth width calculation step, wherein a value range of a tooth width of a right-angle tooth of a lens unit is calculated based on the sub-pixel size and the value range of the period ratio, wherein the tooth of the lens unit includes: the right-angle teeth and the double-working-surface teeth can weaken Moire fringes, and complex alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional optical element is not needed.

Description

Lens parameter determination method, device, electronic equipment, storage medium and lens

Technical Field

The present disclosure relates to the field of optical technologies, and in particular, to a method and an apparatus for determining lens parameters, an electronic device, a storage medium, and a lens.

Background

The naked eye 3D display technology is mature day by day, and has great development potential and application value in the fields of medical treatment, entertainment, industry, education and the like. The directional backlight naked-eye 3D display technology has the advantages of no need of wearing auxiliary equipment, no resolution loss, high brightness and low crosstalk, and thus is one of mainstream naked-eye 3D display technologies, and the display performance is confirmed by many users. The Fresnel lens array and the LCD panel in the directional backlight have periodic structures, and moire fringes are easily generated when the Fresnel lens array and the LCD panel are overlapped. On the other hand, the two sides of the splicing position between the lens units of the fresnel lens array are easy to cause brightness difference due to structural discontinuity, so that an optical boundary is generated.

One of ordinary skill in the art will appreciate that other lenses and other application areas, besides fresnel lenses in directional backlights for naked-eye 3D displays, also face moire and optical boundary problems.

In patent document CN106597675B, "a naked eye 3D moire fringe removing device and its using method", an anisotropic structure is inserted between the LCD and the lens to make the emergent light of the lens no longer have periodic characteristics, but the cost is high, and the crosstalk ratio of the 3D display system is easily increased and the color accuracy of the image is easily affected

In CN106773082B "a method for reducing moire fringes in naked eye 3D directional backlight system", a certain dimension of space is left between the LCD and the lens to make the light entering the LCD no longer have periodic characteristics, but increase the thickness of the display system.

Disclosure of Invention

In order to solve the problems in the related art, embodiments of the present disclosure provide a lens parameter determination method, apparatus, electronic device, storage medium, and lens.

In a first aspect, an embodiment of the present disclosure provides a lens parameter determining method, including: a sub-pixel size obtaining step, wherein the sub-pixel size is obtained based on the display screen size and the number of pixels;

a moire fringe spatial frequency calculation step, wherein, based on the maximum cut-off contrast, the value range of the moire fringe spatial frequency is calculated;

a period ratio calculation step, wherein the value range of the period ratio is calculated based on the value range of the moire fringe spatial frequency and the sub-pixel spatial frequency;

a step of pitch calculation in which a pitch range of the right-angled teeth of the lens unit is calculated based on the sub-pixel size and the pitch ratio, and surface roughness and a pitch angle are defined,

the applicable range of the parameter calculation of the teeth of the lens unit includes: right angle teeth and double face teeth.

With reference to the first aspect, in a first implementation manner of the first aspect, the moire fringe spatial frequency calculating step includes:

based on the maximum cut-off contrast ratio, firstly adopting light field simulation to calculate the rough range of the contrast ratio, and then using a contrast sensitivity threshold value to calculate the value range of the moire fringe spatial frequency.

With reference to the first aspect, in a second implementation manner of the first aspect, the cycle ratio calculating step includes:

calculating the sub-pixel spatial frequency based on the distance from the pupil to the lens, the lens field angle and the number of sub-pixels within the lens field angle;

and calculating the value range of the period ratio based on the value range of the moire fringe space frequency and the sub-pixel space frequency by using Hamilton quantity.

With reference to the first aspect, the present disclosure provides in a third implementation manner of the first aspect, wherein the right-angle tooth is disposed at a middle portion of the lens unit, an inclined surface of the right-angle tooth is away from a center of the lens unit,

the double-working-surface teeth are arranged on the outer part of the lens unit, the first working surface of the double-working-surface teeth is far away from the center of the lens unit, the second working surface of the double-working-surface teeth is close to the center of the lens unit,

the tooth width of the double-working-face tooth is smaller than the tooth width of the right-angle tooth multiplied by a specific multiplying factor.

With reference to the third implementation manner of the first aspect, in a fourth implementation manner of the first aspect, the present disclosure further includes: a step of smoothing the top end of the right-angle tooth, wherein the top end of the right-angle tooth is smoothed by an arc surface.

With reference to the fourth implementation manner of the first aspect, in a fifth implementation manner of the first aspect, the step of processing the right-angle tooth tip end smoothing includes:

calculating a specific radius of a circular arc using the width of the right angle tooth, the width of the first working face of the dual working face tooth, and the width of the second working face of the dual working face tooth;

smoothing the tip of the right-angled tooth using the arc having the specific radius.

With reference to the fourth implementation manner of the first aspect, in a sixth implementation manner of the first aspect, the present disclosure further includes:

and a double-working-face tooth surface roughening step, wherein the second working face of the double-working-face tooth is roughened by using roughness.

With reference to the sixth implementation manner of the first aspect, in a seventh implementation manner of the first aspect, the double-working-face tooth surface roughening processing step includes:

and calculating the roughness by using a roughness calculation function based on the maximum roughness, the minimum roughness and a regulation factor, and performing rough treatment on the second working surface of the double-working-surface tooth by using the roughness.

With reference to the first aspect, in an eighth implementation manner of the first aspect, the present disclosure further includes: and splicing at least two lens units into a lens array.

In a second aspect, an embodiment of the present disclosure provides a lens parameter determination apparatus, including:

a sub-pixel size obtaining module configured to obtain a sub-pixel size based on a display screen size and the number of pixels;

a moire fringe spatial frequency calculation module configured to calculate a value range of a moire fringe spatial frequency based on the maximum cut-off contrast;

a period ratio calculation module configured to calculate a value range of a period ratio based on the value range of the moire fringe spatial frequency and the sub-pixel spatial frequency;

a tooth width calculation module configured to calculate a range of tooth widths of right-angled teeth of the lens unit based on the sub-pixel sizes and the range of period ratios, and to define a surface roughness and a tooth tip angle, wherein,

With reference to the second aspect, in a first implementation manner of the second aspect, the moire spatial frequency calculation module is further configured to:

With reference to the second aspect, in a second implementation manner of the second aspect, the cycle ratio calculation module is further configured to:

With reference to the second aspect, the present disclosure provides in a third implementation manner of the second aspect, wherein the right-angle teeth are disposed at a middle portion of the lens unit, the inclined surfaces of the right-angle teeth are away from the center of the lens unit,

With reference to the third implementation manner of the second aspect, in a fourth implementation manner of the second aspect, the present disclosure further includes:

a right angle tooth tip smoothing module configured to smooth a tip of the right angle tooth using an arc surface.

With reference to the fourth implementation manner of the second aspect, in a fifth implementation manner of the second aspect, the right-angle tip end smoothing processing module is further configured to:

With reference to the fourth implementation manner of the second aspect, in a sixth implementation manner of the second aspect, the present disclosure further includes:

a double face tooth surface roughening module configured to roughen the second face of the double face tooth with a roughness.

With reference to the sixth implementation manner of the second aspect, in a seventh implementation manner of the second aspect, the double-face tooth surface roughening processing module is further configured to:

With reference to the second aspect, in an eighth implementation manner of the second aspect, the present disclosure further includes:

a stitching module configured to stitch at least two of the lens units into a lens array.

In a third aspect, an embodiment of the present disclosure provides a lens unit including:

right-angle teeth and double-working-face teeth,

the right-angle tooth is arranged at the middle part of the lens unit, the inclined plane of the right-angle tooth is far away from the center of the lens unit,

the double-working-surface teeth are arranged on the outer side part of the lens unit, the first working surfaces of the double-working-surface teeth are far away from the center of the lens unit, and the second working surfaces of the double-working-surface teeth are close to the center of the lens unit.

With reference to the third aspect, the present disclosure provides, in a first implementation form of the third aspect,

the tooth width of the right-angle tooth ranges from 0.61 to 0.78 times the width of the sub-pixel, and/or

With reference to the third aspect, the present disclosure provides, in a second implementation form of the third aspect,

and an arc-shaped structure is arranged at the top end of the right-angle tooth.

With reference to the second implementation manner of the third aspect, in a third implementation manner of the third aspect,

the top end of the right-angle tooth is provided with a quarter circular arc structure, and the radius of the circular arc ranges from 5% to 7% of the tooth width of the right-angle tooth.

With reference to the third aspect, the present disclosure provides in a fourth implementation form of the third aspect,

and a rough structure is arranged on the second working surface of the double-working-surface tooth.

With reference to the fourth implementation manner of the third aspect, in a fifth implementation manner of the third aspect,

the roughness of the roughness structure on the second working surface of the double-working-surface tooth ranges from 2 micrometers to 5 micrometers.

In a fourth aspect, an embodiment of the present disclosure provides a lens array, including:

at least two of the lens units are spliced with each other,

the lens unit includes:

right-angle teeth and double-working-face teeth,

With reference to the fourth aspect, the present disclosure provides, in a first implementation form of the fourth aspect,

the splicing comprises: splicing the planes; or splicing the arc surfaces; or free-form surface stitching.

In a fifth aspect, an embodiment of the present disclosure provides a three-dimensional display system, including:

at least two light emitting units for emitting light;

a lens array, comprising:

at least two of the lens units are spliced with each other,

the lens unit includes:

right-angle teeth and double-working-face teeth,

the double-working-surface teeth are arranged on the outer side part of the lens unit, the first working surfaces of the double-working-surface teeth are far away from the center of the lens unit, and the second working surfaces of the double-working-surface teeth are close to the center of the lens unit;

and the liquid crystal screen is used for presenting a stereoscopic image.

In a sixth aspect, an embodiment of the present disclosure provides an electronic device, including a memory and a processor; wherein the content of the first and second substances,

the memory is configured to store one or more computer instructions, where the one or more computer instructions are executed by the processor to implement the method according to any one of the first aspect, the first implementation manner to the eighth implementation manner of the first aspect.

In a seventh aspect, an embodiment of the present disclosure provides a readable storage medium, on which computer instructions are stored, and the computer instructions, when executed by a processor, implement the method according to any one of the first aspect, the first implementation manner to the eighth implementation manner of the first aspect.

The technical scheme provided by the embodiment of the disclosure can have the following beneficial effects:

according to the technical scheme provided by the embodiment of the disclosure, the method comprises the steps of obtaining the size of a sub-pixel, wherein the size of the sub-pixel is obtained based on the size of a display screen and the number of pixels; a moire fringe spatial frequency calculation step, wherein, based on the maximum cut-off contrast, the value range of the moire fringe spatial frequency is calculated; a period ratio calculation step, wherein the value range of the period ratio is calculated based on the value range of the moire fringe spatial frequency and the sub-pixel spatial frequency; a step of calculating a tooth width, wherein the value range of the tooth width of the right-angle tooth of the lens unit is calculated based on the value range of the sub-pixel size and the period ratio, and the surface roughness and the tooth tip angle are limited, wherein the application range of the parameter calculation of the tooth of the lens unit comprises: the right-angle teeth and the double-working-surface teeth can weaken Moire fringes, and complex alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional optical element is not needed.

It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the disclosure.

Drawings

Other features, objects, and advantages of the present disclosure will become more apparent from the following detailed description of non-limiting embodiments when taken in conjunction with the accompanying drawings. The following is a description of the drawings.

Fig. 1a shows an exemplary schematic diagram of an implementation scenario of a naked eye three-dimensional display system determined by a lens parameter determination method according to an embodiment of the present disclosure.

Fig. 1b illustrates an exemplary schematic diagram of an implementation scenario of a lens unit determined by a lens parameter determination method according to an embodiment of the present disclosure.

Fig. 1c shows an exemplary schematic diagram of an implementation scenario of a lens parameter determination method according to an embodiment of the present disclosure.

Fig. 1d shows an exemplary schematic diagram of an implementation scenario of a right-angle tooth and a double-face tooth structure of a lens parameter determination method according to an embodiment of the present disclosure.

Fig. 1e shows an exemplary schematic diagram of an implementation scenario of smoothing the tip of a right-angled tooth according to a lens parameter determination method of an embodiment of the present disclosure.

Fig. 1f shows an exemplary schematic diagram of an implementation scenario of a lens parameter determination method for roughening double-face teeth according to an embodiment of the present disclosure.

Fig. 2 shows a flow chart of a lens parameter determination method according to an embodiment of the present disclosure.

Fig. 3 shows a flow chart of a lens parameter determination method according to another embodiment of the present disclosure.

Fig. 4 shows a flow chart of a lens parameter determination method according to yet another embodiment of the present disclosure.

Fig. 5 shows a flow chart of a lens parameter determination method according to yet another embodiment of the present disclosure.

Fig. 6 shows a block diagram of a lens parameter determination apparatus according to an embodiment of the present disclosure.

Fig. 7 shows a block diagram of an electronic device according to an embodiment of the present disclosure.

Fig. 8 is a schematic block diagram of a computer system suitable for implementing a lens parameter determination method according to an embodiment of the present disclosure.

Detailed Description

Hereinafter, exemplary embodiments of the present disclosure will be described in detail with reference to the accompanying drawings so that those skilled in the art can easily implement them. Also, for the sake of clarity, parts not relevant to the description of the exemplary embodiments are omitted in the drawings.

In the present disclosure, it is to be understood that terms such as "including" or "having," etc., are intended to indicate the presence of labels, numbers, steps, actions, components, parts, or combinations thereof disclosed in the present specification, and are not intended to preclude the possibility that one or more other labels, numbers, steps, actions, components, parts, or combinations thereof are present or added.

It should be further noted that the embodiments and labels in the embodiments of the present disclosure may be combined with each other without conflict. The present disclosure will be described in detail below with reference to the accompanying drawings in conjunction with embodiments.

In order to solve the above problems, the present disclosure proposes a lens parameter determination method, apparatus, electronic device, storage medium, and lens.

As will be understood by those of ordinary skill in the art, fig. 1a exemplarily illustrates an implementation scenario of a naked eye three-dimensional display system determined by the lens parameter determination method, and does not constitute a limitation of the present disclosure.

As shown in fig. 1a, light 103 emitted from the backlight emitting unit 101 is converged and redirected by a lens 105 such as a fresnel lens, and a first image is acquired by a liquid crystal panel 106 and enters a first light receiving element 107. Light rays 104 emitted from the backlight light-emitting unit 102 are converged and directed by a lens 105 such as a fresnel lens, and a second image is acquired by a liquid crystal panel 106 and enters a second light-receiving element 108. Due to the difference of the first image and the second image, the first image and the second image are transmitted to the first light receiving element 107 and the second light receiving element 108, respectively, forming three-dimensional stereoscopic vision.

It will be understood by those skilled in the art that the first light receiving element 107 and the second light receiving element 108 may be human eyes, or virtual receivers simulating human eyes, or other light receiving elements, which are not limited by the present disclosure.

The liquid crystal panel 106 shown in fig. 1a is a schematic view of the side of the liquid crystal panel. The front view of the lcd panel 106 is a front view of the lcd panel 109.

In the embodiment of the present disclosure, the front view liquid crystal panel 109 has a width l in the x-axis direction_aHaving p of_aA plurality of pixels; height of y-axis is l_bHaving p of_bAnd (4) a pixel. For the color front-view LCD 109, there may be three different color pixels of red, green, and blue (RGB) in the x-axis direction, and the sub-pixels of the front-view LCD 109 have a size of

The sub-pixel width in the x-axis direction is

In embodiments of the present disclosure, the sub-pixel width in the x-axis direction may be, for example

。

In an embodiment of the present disclosure, the lens 105 may be a lens array formed by splicing a plurality of lens units. The plurality of lens units may be spliced in the same plane, or spliced in a circular arc surface, or spliced in a free-form surface, or spliced in other splicing manners, and the sub-pixel width may be other values, which is not limited in this disclosure.

It will be understood by those of ordinary skill in the art that fig. 1b exemplarily illustrates an implementation scenario of the lens unit determined by the lens parameter determination method, and does not constitute a limitation of the present disclosure.

Specifically, fig. 1b shows the structure of the lens unit of the lens 105 in fig. 1 a.

In the embodiment of the present disclosure, the lens unit 110, for example, a fresnel lens unit, includes: a right-angled tooth 111 located at the middle portion of the lens unit 110 and a double-face tooth 112 located at the outer portion of the lens unit 110. Interface 113 illustrates the interface of right angle tooth 111 and dual face tooth 112, including one right angle tooth and one dual face tooth.

On one side of the lens unit 110, the right-angled teeth 111 occupy an overall width of L1, and the double face teeth 112 occupy an overall width of L.

It will be understood by those skilled in the art that the lens unit 110 may be a fresnel lens unit, a lenticular lens unit, a multi-layer interlaced lenticular lens unit, or other lens units, and the disclosure is not limited thereto.

It will be understood by those of ordinary skill in the art that fig. 1c exemplarily illustrates an implementation scenario of the lens parameter determination method, and does not constitute a limitation of the present disclosure.

In particular, fig. 1c shows exemplary steps of a lens parameter determination method, comprising steps S121, S122, S123, S124.

From the display screen size l_a*l _b121 and the number of pixels p_a*p _b122, in step S121, the sub-pixel size is calculated

。

From the maximum cut-off contrast 123, in step S122, the range of the moire spatial frequency f is calculated using the contrast sensitivity function.

From the sub-pixel spatial frequency 124, in step S123, a value range of the period ratio q is calculated.

In step S124, the range of the tooth width of the right-angle teeth of the lens unit is calculated.

In an embodiment of the present disclosure, a range of values of a moire spatial frequency may be calculated by a maximum cut-off Contrast of moire fringes using a Contrast Sensitivity Function (CSF).

Wherein the content of the first and second substances,

for contrast sensitivity function, the human eye optical modulation transfer function is

，

The human eye receives light intensity of

，

Signal-to-noise ratio g =3.0, human eye integration time T =0.1 second, human eye quantum effect

Maximum field angle of human eye

Spectral density of lateral nerve noise

Standard deviation in line spread function

Human eye integrating the maximum number of cycles

，

Side suppression of spatial frequencies at rest

Photon conversion factor

，

Screen brightness L =300

Pupil diameter d =4 mm.

In the embodiment of the present disclosure, the maximum cut-off contrast may be set to be 0.03, the rough range of the contrast is calculated by light field simulation, and then the contrast sensitivity function s (f) is greater than the contrast sensitivity threshold 33, so as to substantially eliminate moire fringes under this condition, and thus obtain a value range of moire spatial frequency of the lens 105 and the liquid crystal panel 106 in fig. 1a under the condition of 0 degree overlapping

. The maximum cut-off contrast can be calculated from the visual sensitivity threshold.

In the embodiment of the disclosure, the calculation method of the spatial frequency of the periodic structure

，

The sub-pixel spatial frequency f1=161.257 is calculated, wherein X₀Is the lens field angle, D is the distance from the pupil to the lens, T₁Is the number of sub-pixels within the field angle of the lens. f. of_iIs the spatial frequency, T, of the grating structure_iThe number of grating units in the grating field angle is, in the embodiment of the present disclosure, the grating is implemented in a sub-pixel array or a lenticular tooth form, and the grating structure may be f corresponding to the sub-pixel₁，T₁Or f corresponding to the profile of the lens₂，T₂。

In embodiments of the present disclosure, the spatial frequency of the moire fringes can be determined

And Hamiltonian (k) produced by moire fringes₁，k₂) Comprises (1, -1), (1, -2) to obtain

Therefore, the value range of the period ratio q is calculated to be 0.61< q < 0.78.

In an embodiment of the present disclosure, the sub-pixel width may be according to the aforementioned x-axis direction

Obtaining the value range of the tooth width of the right-angle teeth of the Fresnel lens

May be 0.61 to 0.78 times the width of the sub-pixel, and may be 0.056mm to 0.072mm, for example.

One skilled in the art can understand that the tooth width of the right-angle teeth of the fresnel lens can also be set to other value ranges according to actual requirements, and the disclosure does not limit this.

According to the embodiment of the present disclosure, the applicable range of the parameter calculation of the teeth of the fresnel lens includes: right angle teeth and double face teeth. Moire fringes can be reduced to be basically invisible through two tooth forms of the right-angle teeth and the double-working-face teeth and the value range of the tooth width of the right-angle teeth.

In embodiments of the present disclosure, the face width of a dual face tooth may be less than the face width of a right angle tooth multiplied by a particular multiplier, such as 1-1.2 times.

It will be understood by those skilled in the art that the specific magnification between the face width of the double face tooth and the face width of the right angle tooth may be other values, and the disclosure is not limited thereto.

According to embodiments of the present disclosure, the face width of a dual face tooth may be smaller than the face width of a right angle tooth multiplied by a certain magnification, thereby reducing moir e to be substantially invisible.

It will be understood by those of ordinary skill in the art that fig. 1d illustrates an implementation scenario of the right angle teeth and double working face teeth structure of the lens parameter determination method, without limiting the present disclosure.

Specifically, fig. 1d illustrates a specific structure of the interface portion 113 in fig. 1 b.

As shown in FIG. 1d, the first working surface 131 (primary working surface, or refracting surface) of the dual-working surface tooth 112 is distal from the center of the lens cell 110 in FIG. 1b, and the second working surface 132 (secondary working surface, or non-refracting surface) of the dual-working surface tooth 112 is proximal to the center of the lens cell 110 in FIG. 1 b; the angled face 133 (refracting face) of right-angled tooth 111 is farther from the center of lens unit 110 in FIG. 1b, and the angled face 134 (non-refracting face) of right-angled tooth 111 is closer to the center of lens unit 110 in FIG. 1 b. The width of the first face 131 of the double face tooth 112 is d2, the width of the second face 132 of the double face tooth 112 is d1, and the width of the right angle tooth 111 is w.

It will be understood by those of ordinary skill in the art that fig. 1e exemplarily illustrates an implementation scenario of the lens parameter determination method for smoothing the tips of the right-angled teeth, and does not constitute a limitation of the present disclosure.

Specifically, FIG. 1e illustrates smoothing the tips of the right angle teeth of FIG. 1 d.

In an embodiment of the present disclosure, the tip of the right angle tooth 111 may be smoothed using the quarter circle 141.

In the embodiment of the present disclosure, the material can be prepared from

The radius w1 of the quarter circle 141 is calculated, w2= w-w 1.

In the embodiment of the present disclosure, as shown in fig. 1e, a parallel plane BC is made to intersect with the inclined plane 133 of the right-angled tooth 111 at a distance w1 from AD at a point B, and a point B is taken as an arc end point, and a center O falls on BC to make a quarter of an arc instead of the tooth tip angle at the top end of the right-angled tooth.

In an embodiment of the present disclosure, the same smoothing process may be performed on the tip of each right-angle tooth 111 shown in fig. 1 b.

According to the embodiment of the disclosure, the top end of the right-angled tooth is smoothed, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

It will be understood by those of ordinary skill in the art that fig. 1f exemplarily illustrates an implementation scenario of the lens parameter determination method for roughening the double-working-face teeth, and does not constitute a limitation of the present disclosure.

Specifically, FIG. 1f illustrates the roughening of the second working surface 132 (the secondary working surface) of the dual face tooth 112 after the smoothing of the tip of the right angle tooth of FIG. 1 e.

In embodiments of the present disclosure, the roughness of the second working surface 132 of the dual working surface tooth 112 may be calculated using a roughness calculation function

Wherein a is the maximum roughness and can be set as

(ii) a c is the minimum roughness that can be achieved in the manufacture of the lens, and can be set to be less than or equal to

. x is the distance between the center point of the second working surface of each double-working-surface tooth and the center of the lens unit, and s is a regulation factor of the roughness function and can be set as

。

In an embodiment of the present disclosure, the second working surface 132 of the dual working surface tooth 112 may be roughened using a roughness Q, resulting in a roughened surface 151.

According to the embodiment of the disclosure, the second working face of the double-working face tooth is subjected to rough treatment, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

It will be understood by those skilled in the art that, in implementing the lens unit 110 shown in fig. 1b, the smoothing process for the top end of the right-angled tooth and the roughening process for the auxiliary working surface of the double-working-surface tooth may be performed in a manner of first smoothing and then roughening, or first roughening and then smoothing, or both, according to a specific implementation manner, and the disclosure is not limited thereto.

As shown in fig. 2, the lens parameter determination method includes: steps S201, S202, S203, S204.

In step S201, a sub-pixel size is acquired based on the display screen size and the number of pixels. Step S201 is a sub-pixel size acquisition step.

In step S202, a value range of the moire spatial frequency is calculated based on the maximum cut-off contrast. Step S202 is a moire spatial frequency calculation step.

In step S203, a value range of the period ratio is calculated based on the value range of the moire fringe spatial frequency and the sub-pixel spatial frequency. Step S203 is a cycle ratio calculation step.

In step S204, based on the sub-pixel size and the range of the period ratio, the range of the tooth width of the right-angle tooth of the lens unit is calculated, and the surface roughness and the tooth tip angle are defined. Step S204 is a tooth width calculation step.

In an embodiment of the present disclosure, the display screen size l may be set by_a*l_bAnd the number of pixels p_a*p_bCalculating the sub-pixel size of the color display screen

。

In embodiments of the present disclosure, the x-axis sub-pixel width as shown in FIG. 1a may be

。

In embodiments of the present disclosure, a lens unit, such as a fresnel lens unit, may include right angle teeth and double face teeth.

In the embodiment of the disclosure, the value range of the moire fringe spatial frequency can be calculated based on the maximum cut-off contrast, the value range of the period ratio can be calculated based on the value range of the moire fringe spatial frequency and the lens tooth profile period, finally, the value range of the tooth width of the right-angled teeth of the lens unit can be calculated based on the value range of the sub-pixel size and the period ratio, and the surface roughness and the tooth tip angle can be limited.

In the embodiment of the present disclosure, the maximum cut-off contrast may be 0.03 to substantially eliminate moire fringes, or may be set to other values as needed, which is not limited by the present disclosure.

It will be understood by those skilled in the art that the lens units may be other lens units besides fresnel lens units, lenticular lens units, multilayer interlaced lenticular lens units, and the present disclosure is not limited thereto.

According to an embodiment of the present disclosure, a sub-pixel size obtaining step, wherein the sub-pixel size is obtained based on the display screen size and the number of pixels; a moire fringe spatial frequency calculation step, wherein, based on the maximum cut-off contrast, the value range of the moire fringe spatial frequency is calculated; a period ratio calculation step, wherein the value range of the period ratio is calculated based on the value range of the moire fringe spatial frequency and the word pixel spatial frequency; a step of calculating a tooth width, wherein the value range of the tooth width of the right-angle tooth of the lens unit is calculated based on the value range of the sub-pixel size and the period ratio, and the surface roughness and the tooth tip angle are limited, wherein the application range of the parameter calculation of the tooth of the lens unit comprises: the right-angle teeth and the double-working-surface teeth can weaken Moire fringes, and complex alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional optical element is not needed.

Wherein the content of the first and second substances,

human eye optics as a function of contrast sensitivityA modulation transfer function of

，

The human eye receives light intensity of

，

Maximum field angle of human eye

Spectral density of lateral nerve noise

Standard deviation in line spread function

Human eye integrating the maximum number of cycles

,

Side suppression of spatial frequencies at rest

Photon conversion factor

，

Screen brightness L =300

Pupil diameter d =4 mm.

In an embodiment of the present disclosure, a maximum cutoff may be setThe contrast ratio is 0.03, the rough range of the contrast ratio is calculated by adopting light field simulation, then the contrast sensitivity function S (f) is larger than the contrast sensitivity threshold value 33, the moire fringes are basically eliminated under the condition, and the value range of the moire fringe space frequency of the Fresnel lens and the liquid crystal screen under the condition of 0-degree overlapping is obtained

According to an embodiment of the present disclosure, the calculating by moire fringe spatial frequency step includes: based on the maximum cut-off contrast ratio, the rough range of the contrast ratio is calculated by adopting light field simulation, and then the value range of the space frequency of the moire fringes is calculated by using a contrast sensitivity threshold value, so that the moire fringes are weakened, the complicated alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional optical element is not needed.

，

The sub-pixel spatial frequency f1=161.257 is calculated, wherein X₀Is the lens field angle, D is the distance from the pupil to the lens, T₁Is the number of sub-pixels within the field angle of the lens. f. of_iIs the spatial frequency, T, of the grating structure_iThe number of grating units in the grating field angle is shown. In the embodiment of the disclosure, the grating is implemented in a sub-pixel array or a lens tooth shape, and the grating structure can be f corresponding to the sub-pixel₁，T₁Or f corresponding to the profile of the lens₂，T₂。

And moHamiltonian (k) produced by Moire fringe₁，k₂) Comprises (1, -1), (1, -2) to obtain

According to an embodiment of the present disclosure, the calculating of the period ratio includes: calculating the sub-pixel spatial frequency based on the distance from the pupil to the lens, the lens field angle and the number of sub-pixels within the lens field angle; the Hamilton quantity is used, and the value range of the period ratio is calculated based on the value range of the moire fringe space frequency and the sub-pixel space frequency, so that the moire fringes are weakened, the complicated alignment and space adjustment of the Fresnel lens and the liquid crystal display panel are not needed, and an additional optical element is not needed.

In an embodiment of the present disclosure, as shown in fig. 1b, the lens unit 110 includes: right-angle tooth 111 and double-working-surface tooth 112, and as shown in fig. 1d, right-angle tooth 111 is disposed in the middle portion of lens unit 110, inclined surface 133 of right-angle tooth 111 is far away from the center of lens unit 110, double-working-surface 112 is disposed in the outer portion of lens unit 110, first working surface 131 (main working surface, refractive surface) of double-working-surface tooth 112 is far away from the center of lens unit 110, and second working surface 132 (auxiliary working surface, non-refractive surface) of double-working-surface tooth 112 is close to the center of lens unit 110.

In an embodiment of the present disclosure, the face width of a dual face tooth is less than the face width of a right angle tooth multiplied by a particular multiplier, such as 1-1.2 times.

It will be understood by those skilled in the art that the specific multiplying power may be other values set according to actual needs, and the disclosure is not limited thereto.

According to the embodiment of the disclosure, the right-angle teeth are arranged in the middle of the lens unit, the inclined planes of the right-angle teeth are far away from the center of the lens unit, the double-working-surface teeth are arranged on the outer side parts of the lens unit, the first working surfaces of the double-working-surface teeth are far away from the center of the lens unit, the second working surfaces of the double-working-surface teeth are close to the center of the lens unit, and the tooth width of the double-working-surface teeth is smaller than the tooth width of the right-angle teeth multiplied by a specific multiplying power, so that moire fringes are weakened, complicated alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an.

As shown in fig. 3, the lens parameter determining method includes, in addition to steps S201, S202, S203, and S204 which are the same as those in fig. 2: step S301.

In step S301, the tip of the right-angled tooth is smoothed using the arc surface. Step S301 is a right-angle tooth crest end smoothing processing step.

According to an embodiment of the present disclosure, the lens parameter determination method further includes: and a step of smoothing the top end of the right-angle tooth, wherein the top end of the right-angle tooth is smoothed by an arc surface, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

In the embodiment of the present disclosure, as shown in fig. 1e, can be made of

The radius w1 of the quarter circle 141 is calculated. The width of the first working surface 131 of the double-working-surface tooth 112 is d2, the width of the second working surface 132 of the double-working-surface tooth 112 is d1, and the width of the right-angle tooth 111 is w.

A parallel surface BC is made to intersect with the inclined surface 133 of the right-angled tooth 111 at a distance w1 from AD at a point B, the point B is taken as an arc end point, a circle center O falls on BC, and a quarter of arc is made to replace the tooth sharp corner at the top end of the right-angled tooth.

One of ordinary skill in the art will appreciate that other curved surfaces may be used to smooth the tips of the right angle teeth as desired, and the present disclosure is not limited thereto.

According to an embodiment of the present disclosure, the smoothing processing step by the right-angle addendum end includes: calculating the specific radius of the arc using the width of the right angle tooth, the width of the first working face of the dual working face tooth, and the width of the second working face of the dual working face tooth; the top end of the right-angled tooth is smoothed by using an arc with a specific radius, thereby reducing moire fringes, achieving continuous transition of brightness between different types of teeth, and eliminating optical boundaries caused by the different types of teeth.

As shown in fig. 4, the lens parameter determination method includes, in addition to steps S201, S202, S203, S204, and S301 which are the same as those in fig. 3: step S401.

In step S401, the second face of the double face tooth is roughened using the roughness. Step S401 is a double-face tooth surface roughening processing step.

According to an embodiment of the present disclosure, by further comprising: and a double-working-face tooth surface roughening treatment step, wherein the roughness is used for roughening the second working face of the double-working-face tooth, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

In embodiments of the present disclosure, the roughness of the second working surface 132 of the dual working surface tooth 112 in FIG. 1f may be calculated using a roughness calculation function

Wherein a is the maximum roughness and can be set as

。

According to the embodiment of the disclosure, the double-working-face tooth surface roughening treatment step comprises the following steps: based on the maximum roughness, the minimum roughness and the regulating factor, calculating the roughness by using a roughness calculation function, and carrying out rough treatment on the second working surface of the double-working-surface tooth by using the roughness, so that the moire fringes are weakened, the continuous transition of the brightness among different types of teeth is achieved, and the optical boundary caused by the different types of teeth is eliminated.

As shown in fig. 5, the lens parameter determination method includes, in addition to steps S201, S202, S203, S204, S301, and S401 which are the same as those in fig. 4: step S501.

In step S501, at least two lens units are spliced into a lens array.

In an embodiment of the present disclosure, at least two lens units may be tiled into a lens array. The lens unit may be disposed in accordance with the light emitting unit, or may be disposed in other manners, which is not limited in this disclosure. The lens units can be spliced into the lens array in a plane splicing mode, and also can be spliced into the lens array in an arc surface splicing mode, which is not limited by the disclosure.

According to the embodiment of the disclosure, at least two lens units are spliced into the lens array, so that the lens area is enlarged, the flexibility of lens design is improved, Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

As shown in fig. 6, the lens parameter determination apparatus 600 includes: a sub-pixel size obtaining module 601, a moire fringe spatial frequency calculating module 602, a period ratio calculating module 603, and a tooth width calculating module 604.

The sub-pixel size acquisition module 601 is configured to acquire a sub-pixel size based on the display screen size and the number of pixels.

The moire spatial frequency calculation module 602 is configured to calculate a range of values of the moire spatial frequency based on the maximum cut-off contrast.

The period ratio calculation module 603 is configured to calculate a range of values of a period ratio based on the range of values of the moire spatial frequency and the sub-pixel spatial frequency.

The tooth width calculation module 604 is configured to calculate a range of tooth widths of the right-angled teeth of the lens unit based on the sub-pixel sizes and the range of period ratios, and to define a surface roughness and a tooth tip angle.

In an embodiment of the present disclosure, the teeth of the lens unit, for example, the fresnel lens unit, include: right angle teeth and double face teeth.

According to the embodiment of the present disclosure, the sub-pixel size obtaining module is configured to obtain the sub-pixel size based on the display screen size and the number of pixels; a moire fringe spatial frequency calculation module configured to calculate a value range of a moire fringe spatial frequency based on the maximum cut-off contrast; a period ratio calculation module configured to calculate a value range of a period ratio based on the value range of the moire fringe spatial frequency and the sub-pixel spatial frequency; a tooth width calculation module configured to calculate a range of tooth widths of right-angled teeth of a lens unit based on the sub-pixel sizes and the range of period ratios, and to define a surface roughness and a tooth tip angle, wherein the teeth of the lens unit include: the right-angle teeth and the double-working-surface teeth can weaken Moire fringes, and complex alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional optical element is not needed.

In an embodiment of the disclosure, the moire fringe spatial frequency calculation module is further configured to: based on the maximum cut-off contrast ratio, firstly adopting light field simulation to calculate the rough range of the contrast ratio, and then using a contrast sensitivity threshold value to calculate the value range of the moire fringe spatial frequency.

According to an embodiment of the present disclosure, the moire fringe spatial frequency calculation module is further configured to: based on the maximum cut-off contrast ratio, the rough range of the contrast ratio is calculated by adopting light field simulation, and then the value range of the space frequency of the moire fringes is calculated by using a contrast sensitivity threshold value, so that the moire fringes are weakened, the complicated alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional optical element is not needed.

In an embodiment of the disclosure, the cycle ratio calculation module is further configured to: calculating the sub-pixel spatial frequency based on the distance from the pupil to the lens, the lens field angle and the number of sub-pixels in the lens field of view; and calculating the value range of the period ratio based on the value range of the moire fringe spatial frequency and the sub-pixel spatial frequency by using the Hamilton quantity.

According to an embodiment of the present disclosure, the cycle ratio calculation module is further configured to: calculating the sub-pixel spatial frequency based on the distance from the pupil to the lens, the lens field angle and the number of sub-pixels in the lens field of view; the Hamilton quantity is used, and the value range of the period ratio is calculated based on the value range of the moire fringe space frequency and the sub-pixel space frequency, so that the moire fringes are weakened, the complicated alignment and space adjustment of the Fresnel lens and the liquid crystal display panel are not needed, and an additional optical element is not needed.

In an embodiment of the present disclosure, the right-angled teeth are disposed in a middle portion of the lens unit, an inclined surface of the right-angled teeth is far away from a center of the lens unit, the double-working-surface teeth are disposed in an outer portion of the lens unit, a first working surface of the double-working-surface teeth is far away from the center of the lens unit, a second working surface of the double-working-surface teeth is close to the center of the lens unit, and a tooth width of the double-working-surface teeth is smaller than a tooth width of the right-angled teeth multiplied by a specific magnification.

According to the embodiment of the disclosure, the right-angle teeth are arranged in the middle of the lens unit, the inclined planes of the right-angle teeth are far away from the center of the lens unit, the double-working-surface teeth are arranged on the outer side parts of the lens unit, the first working surfaces of the double-working-surface teeth are far away from the center of the lens unit, the second working surfaces of the double-working-surface teeth are close to the center of the lens unit, and the tooth width of the double-working-surface teeth is smaller than the tooth width of the right-angle teeth multiplied by a specific multiplying power, so that moire fringes are weakened, complicated alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional.

In an embodiment of the present disclosure, the lens parameter determination apparatus further includes: a right angle tooth tip smoothing module configured to smooth a tip of the right angle tooth using the arc surface.

According to an embodiment of the present disclosure, by further comprising: and the right-angle tooth top end smoothing processing module is configured to smooth the top end of the right-angle tooth by using the cambered surface, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

In an embodiment of the present disclosure, the right angle addendum smoothing module is further configured to: calculating the specific radius of the arc using the width of the right angle tooth, the width of the first working face of the double working face tooth, and the width of the second working face of the double working face tooth; the tips of the right-angled teeth are smoothed using a circular arc having a specific radius.

According to an embodiment of the present disclosure, the smoothing processing module is further configured to: calculating the specific radius of the arc using the width of the right angle tooth, the width of the first working face of the double working face tooth, and the width of the second working face of the double working face tooth; the top end of the right-angled tooth is smoothed by using an arc with a specific radius, thereby reducing moire fringes, achieving continuous transition of brightness between different types of teeth, and eliminating optical boundaries caused by the different types of teeth.

In an embodiment of the present disclosure, the lens parameter determination apparatus further includes: and the double-working-face tooth surface roughening module is configured to roughen a second working face of the double-working-face tooth by using roughness.

According to an embodiment of the present disclosure, by further comprising: and the double-working-face tooth surface roughening module is configured to roughen the second working face of the double-working-face tooth by using roughness, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

In an embodiment of the disclosure, the dual face tooth surface roughening module is further configured to: and calculating the roughness by using a roughness calculation function based on the maximum roughness, the minimum roughness and the regulating and controlling factor, and performing rough treatment on the second working surface of the double-working-surface tooth by using the roughness.

According to an embodiment of the present disclosure, the double face tooth surface roughening module is further configured to: based on the maximum roughness, the minimum roughness and the regulating factor, the roughness is calculated by using a roughness calculation function, and the roughness is used for carrying out rough treatment on the second working surface of the double-working-surface tooth, so that the moire fringes are weakened, the continuous excess of the brightness among different types of teeth is achieved, and the optical boundary caused by the different types of teeth is eliminated.

In an embodiment of the present disclosure, the lens parameter determination apparatus further includes: a stitching module configured to stitch at least two of the lens units into a lens array.

According to an embodiment of the present disclosure, by further comprising: and the splicing module is configured to splice at least two lens units into a lens array, so that the lens area is enlarged, the flexibility of lens design is improved, Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

In an embodiment of the present disclosure, a lens unit, such as a fresnel lens unit, is disclosed. As shown in fig. 1b and 1d, the lens unit 110 includes: right-angle tooth 111 and two working face teeth 112, right-angle tooth 111 sets up in the middle part of lens unit 110, and the inclined plane of right-angle tooth 111 keeps away from the center of lens unit 110, and two working face teeth 112 set up in the outside portion of lens unit 110, and the center of lens unit 110 is kept away from to the first working face 131 (main working face, refracting surface) of two working face teeth 112, and the center of lens unit 110 is close to second working face 132 (supplementary working face, non-refracting surface) of two working face teeth 112.

According to the embodiment of the present disclosure, through right-angle tooth and two working face teeth, the right-angle tooth sets up in the middle part of lens unit, the right-angle side of right-angle tooth is close to the center of lens unit, two working face teeth set up in the outside portion of lens unit, the center of lens unit is kept away from to the first working face of two working face teeth, the center of lens unit is close to the second working face of two working face teeth to weaken moire fringe, the alignment and the space adjustment of complicated fresnel lens and liquid crystal display panel need not, also need not to add extra optical element.

In the embodiments of the present disclosure, the width of the right-angled teeth may range from 0.61 to 0.78 times the width of the sub-pixels, for example, from 0.056mm to 0.072mm, and the width of the double-face teeth may be smaller than the width of the right-angled teeth multiplied by a specific multiplying factor, for example, 1 to 1.2 times.

One skilled in the art can understand that the range of the tooth width of the right-angle tooth can be set to other ranges as required, and the specific multiplying power can be other numerical values, which is not limited in the present disclosure.

According to the embodiment of the disclosure, the moire fringes are weakened by the fact that the tooth width of the right-angle tooth ranges from 0.61 to 0.78 times the width of the sub-pixel, and/or the tooth width of the double-working-surface tooth is smaller than the tooth width of the right-angle tooth multiplied by a specific multiplying power, and complex alignment and space adjustment of a Fresnel lens and a liquid crystal display panel are not needed, and an additional optical element is not needed.

According to the embodiment of the disclosure, the arc-shaped structure is arranged at the top end of the right-angle tooth, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

In the embodiment of the disclosure, a quarter-arc structure is disposed at the top end of the right-angle tooth, and the radius of the arc ranges from 5% to 7% of the tooth width of the right-angle tooth, for example, from 5 micrometers to 7 micrometers.

According to the embodiment of the disclosure, the top end of the right-angle tooth is provided with the quarter circular arc structure, and the radius of the circular arc ranges from 5% to 7% of the tooth width of the right-angle tooth, so that moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

One of ordinary skill in the art will appreciate that the radius of the arc may be other values, and other arc structures besides a quarter of an arc may be provided at the top end of the right-angled tooth, which is not limited by the present disclosure.

In embodiments of the present disclosure, a rough structure may be provided on the second working face (secondary working face, non-refracting face) of the dual working face tooth.

According to the embodiment of the disclosure, the rough structure is arranged on the second working face of the double-working-face tooth, so that Moire fringes are weakened, continuous transition of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

According to the embodiment of the disclosure, the roughness of the rough structure on the second working surface of the double-working-surface tooth ranges from 2 micrometers to 5 micrometers, so that moire fringes are weakened, continuous excess of brightness among different types of teeth is achieved, and optical boundaries caused by the different types of teeth are eliminated.

One of ordinary skill in the art will appreciate that the range of values for the roughness of the asperities on the second face of the dual face tooth can be other ranges of values and the disclosure is not limited thereto.

In an embodiment of the present disclosure, a lens array includes at least two lens units that are spliced to each other.

According to an embodiment of the present disclosure, a lens unit, by at least two lens units spliced to each other, includes: right angle tooth and two working face teeth, the right angle tooth sets up in the mid portion of lens unit, the center of lens unit is kept away from on the inclined plane of right angle tooth, two working face teeth set up in the outside portion of lens unit, the center of lens unit is kept away from to the first working face of two working face teeth, the center of lens unit is close to the second working face of two working face teeth, thereby enlarge the lens area, the flexibility of lens design is improved, reduce moire fringe, reach the continuous transition of the luminance between the different types of tooth, eliminate the optical boundary that different types of tooth arouse.

In the embodiment of the disclosure, the lens units can be spliced into the lens array in a plane splicing manner, a circular arc splicing manner or a free-form surface splicing manner.

One of ordinary skill in the art will appreciate that other splicing schemes may be used, and the present disclosure is not limited thereto.

According to an embodiment of the present disclosure, the splicing includes: splicing the planes; or splicing the arc surfaces; or free-form surfaces are spliced, so that the area of the lens is enlarged, the flexibility of lens design is improved, Moire fringes are weakened, the continuous transition of brightness among different types of teeth is achieved, and the optical boundary caused by the different types of teeth is eliminated.

In an embodiment of the present disclosure, the present invention discloses a three-dimensional display system, including: at least two light emitting units for emitting light; a lens array; and the liquid crystal screen is used for presenting a stereoscopic image.

As shown in fig. 1a, the three-dimensional display system may include: at least two light emitting

units

101, 102 for emitting light; a lens array 105; a liquid crystal panel for presenting stereoscopic images such as a first image and a second image, respectively, to thereby form three-dimensional stereoscopic vision at the

light receiving sections

107, 108.

According to the embodiment of the present disclosure, by at least two light emitting units, for emitting light; a lens array, comprising: at least two lens units of mutual concatenation, lens unit includes: the lens comprises a right-angle tooth and double-working-surface teeth, wherein the right-angle tooth is arranged in the middle of a lens unit, the inclined plane of the right-angle tooth is far away from the center of the lens unit, the double-working-surface teeth are arranged on the outer side part of the lens unit, the first working surface of the double-working-surface teeth is far away from the center of the lens unit, and the second working surface of the double-working-surface teeth is close to the center of the lens unit; and the liquid crystal screen is used for presenting a stereoscopic image so as to form three-dimensional stereoscopic vision.

The embodiment of the present disclosure also provides an electronic device, as shown in fig. 7, the electronic device 700 includes a processor 701 and a memory 702; wherein the memory 702 stores instructions executable by the at least one processor 701 to perform the following steps:

a sub-pixel size obtaining step, wherein the sub-pixel size is obtained based on the display screen size and the number of pixels;

In an embodiment of the present disclosure, the moire fringe spatial frequency calculating step includes:

In an embodiment of the present disclosure, the period ratio calculating step includes:

In the embodiment of the present disclosure, the right-angled teeth are disposed at a middle portion of the lens unit, the inclined surfaces of the right-angled teeth are away from the center of the lens unit,

In an embodiment of the present disclosure, the instructions are further executable by the at least one processor 701 to implement the steps of:

a step of smoothing the top end of the right-angle tooth, wherein the top end of the right-angle tooth is smoothed by an arc surface.

In an embodiment of the present disclosure, the right-angle tooth tip smoothing step includes:

In an embodiment of the present disclosure, the double-face tooth surface roughening processing step includes:

and splicing at least two lens units into a lens array.

As shown in fig. 8, the computer system 800 includes a processing unit 801 which can execute various processes in the embodiments shown in the above-described drawings in accordance with a program stored in a Read Only Memory (ROM) 802 or a program loaded from a storage section 808 into a Random Access Memory (RAM) 803. In the RAM803, various programs and data necessary for the operation of the system 800 are also stored. The processing unit 801, the ROM802, and the RAM803 are connected to each other by a bus 804. An input/output (I/O) interface 805 is also connected to bus 804.

The following components are connected to the I/O interface 805: an input portion 806 including a keyboard, a mouse, and the like; an output section 807 including a signal such as a Cathode Ray Tube (CRT), a Liquid Crystal Display (LCD), and the like, and a speaker; a storage portion 808 including a hard disk and the like; and a communication section 809 including a network interface card such as a LAN card, a modem, or the like. The communication section 809 performs communication processing via a network such as the internet. A drive 810 is also connected to the I/O interface 805 as necessary. A removable medium 811 such as a magnetic disk, an optical disk, a magneto-optical disk, a semiconductor memory, or the like is mounted on the drive 810 as necessary, so that a computer program read out therefrom is mounted on the storage section 808 as necessary. The processing unit 801 may be implemented as a CPU, a GPU, a TPU, an FPGA, an NPU, or other processing units.

In particular, according to embodiments of the present disclosure, the methods described above with reference to the figures may be implemented as computer software programs. For example, embodiments of the present disclosure include a computer program product comprising a computer program tangibly embodied on a medium readable thereby, the computer program comprising program code for performing the methods of the figures. In such an embodiment, the computer program may be downloaded and installed from a network via the communication section 809 and/or installed from the removable medium 811.

The flowchart and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of systems, methods and computer program products according to various embodiments of the present disclosure. In this regard, each block in the flowcharts or block diagrams may represent a module, a program segment, or a portion of code, which comprises one or more executable instructions for implementing the specified logical function(s). It should also be noted that, in some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks shown in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems which perform the specified functions or acts, or combinations of special purpose hardware and computer instructions.

The units or modules described in the embodiments of the present disclosure may be implemented by software or hardware. The units or modules described may also be provided in a processor, and the names of the units or modules do not in some cases constitute a limitation of the units or modules themselves.

As another aspect, the present disclosure also provides a computer-readable storage medium, which may be the computer-readable storage medium included in the node in the above embodiment; or it may be a separate computer readable storage medium not incorporated into the device. The computer readable storage medium stores one or more programs for use by one or more processors in performing the methods described in the present disclosure.

The foregoing description is only exemplary of the preferred embodiments of the disclosure and is illustrative of the principles of the technology employed. It will be appreciated by those skilled in the art that the scope of the invention in the present disclosure is not limited to the specific combination of the above-mentioned features, but also encompasses other embodiments in which any combination of the above-mentioned features or their equivalents is possible without departing from the inventive concept. For example, the above features and (but not limited to) the features disclosed in this disclosure having similar functions are replaced with each other to form the technical solution.

Claims

1. A lens parameter determination method, comprising:

the applicable range of the parameter calculation of the teeth of the lens unit includes: right-angle teeth and double-working-face teeth,

2. The method of claim 1,

the moire fringe spatial frequency calculating step includes:

3. The method of claim 1,

the period ratio calculation step includes:

4. The method of claim 1,

5. The method of claim 4, further comprising:

6. The method of claim 5, wherein the right angle tooth tip smoothing step comprises:

7. The method of claim 5, further comprising:

8. The method of claim 7, wherein the double face tooth surface roughening step comprises:

9. The method of claim 1, further comprising:

and splicing at least two lens units into a lens array.

10. A lens parameter determination apparatus, comprising:

11. The apparatus of claim 10,

the moire fringe spatial frequency calculation module is further configured to:

12. The apparatus of claim 10,

the cycle ratio calculation module is further configured to:

13. The apparatus of claim 10,

14. The apparatus of claim 13, further comprising:

15. The apparatus of claim 14, wherein the right angle tooth tip smoothing module is further configured to:

16. The apparatus of claim 14, further comprising:

17. The apparatus of claim 16, wherein the dual face tooth surface roughening module is further configured to:

18. The apparatus of claim 10, further comprising:

19. A lens unit, comprising:

right-angle teeth and double-working-face teeth,

20. The lens unit of claim 19,

the tooth width of the right-angle tooth ranges from 0.61 to 0.78 times the width of the sub-pixel.

21. The lens unit of claim 19,

22. The lens unit of claim 21,

23. The lens unit of claim 19,

24. The lens unit of claim 23,

25. A lens array, comprising:

at least two lens units spliced with each other,

the lens unit includes:

right-angle teeth and double-working-face teeth,

26. The lens array of claim 25,

27. A three-dimensional display system, comprising:

at least two light emitting units for emitting light;

a lens array, comprising:

at least two lens units spliced with each other,

the lens unit includes:

right-angle teeth and double-working-face teeth,

the tooth width of the double-working-face tooth is smaller than the tooth width of the right-angle tooth multiplied by a specific multiplying power;

and the liquid crystal screen is used for presenting a stereoscopic image.

28. An electronic device comprising a memory and a processor; wherein the content of the first and second substances,

the memory is to store one or more computer instructions, wherein the one or more computer instructions are to be executed by the processor to implement the method of any one of claims 1-9.

29. A readable storage medium having stored thereon computer instructions, characterized in that the computer instructions, when executed by a processor, implement the method according to any one of claims 1-9.