CN114924424A - Method for reducing crosstalk degree of cylindrical lens type naked eye 3D display system - Google Patents

Method for reducing crosstalk degree of cylindrical lens type naked eye 3D display system Download PDF

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CN114924424A
CN114924424A CN202210487948.9A CN202210487948A CN114924424A CN 114924424 A CN114924424 A CN 114924424A CN 202210487948 A CN202210487948 A CN 202210487948A CN 114924424 A CN114924424 A CN 114924424A
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cylindrical lens
pixel
crosstalk
calculating
reducing
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张薇
周德峰
范学仕
张朝财
江奔
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University of Shanghai for Science and Technology
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B30/00Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images
    • G02B30/20Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes
    • G02B30/26Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes of the autostereoscopic type
    • G02B30/27Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes of the autostereoscopic type involving lenticular arrays
    • G02B30/29Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes of the autostereoscopic type involving lenticular arrays characterised by the geometry of the lenticular array, e.g. slanted arrays, irregular arrays or arrays of varying shape or size

Abstract

The invention discloses a method for reducing the crosstalk degree of a cylindrical lens type naked eye 3D display system, which comprises the following steps: calculating the corresponding inclination angle alpha of the cylindrical lens and the Moire fringe thickness B in the original state; making the 2 nd row pixel position on the LCD image panel as delta a translation amount, and translating the subsequent rows in sequence, wherein the N-th row pixel needs to be translated by (N-1) delta a; reducing the value of the inclination angle alpha of the cylindrical lens, and calculating a new inclination angle alpha' of the cylindrical lens; keeping the Moire fringe thickness the same as the value in the original state, reducing the pixel interval m to m 'and correspondingly reducing the cylindrical lens pitches u to u'; and calculating the crosstalk area, the visible area and the optimal visual area, and judging whether the pixel position translation amount delta a, the reduced pixel interval m 'and the new cylindrical lens pitch changed into u' are reasonable or not. According to the invention, the crosstalk area of the adjacent viewpoint of the naked eye 3D display and the crosstalk degree of the edge of the visual area can be reduced, and the method can be combined with methods such as changing the pixel shape of the optical switch plate and the like to further reduce the crosstalk degree.

Description

Method for reducing crosstalk degree of cylindrical lens type naked eye 3D display system
Technical Field
The invention relates to the technical field of cylindrical lens type naked eye 3D crosstalk, in particular to a method for reducing the crosstalk of a cylindrical lens type naked eye 3D display system.
Background
The naked eye 3D display system can be mainly divided into slit grating naked eye 3D display, cylindrical lens grating naked eye 3D display and the like. With the development of technology, a series of new display methods such as directional backlight display, holographic 3D, etc. have also appeared. Different display methods have respective advantages and disadvantages, and with the continuous development of other disciplines, naked-eye 3D display technology is gradually mature.
The 3D display devices proposed at the present stage also have various limitations in terms of brightness, crosstalk, and the like. The biggest defect of slit grating naked eye 3D display is that the loss of display brightness is at least more than half, crosstalk can become larger along with the increase of the aperture ratio of the grating, the precision requirement in the assembling process is higher, and the grating width is far larger than the edge interval of the cylindrical lens, so that the thickness of the formed Moire fringe is too large, and the image definition is poor. The free three-dimensional display of the cylindrical lens grating is an important branch in naked eye 3D display, the cylindrical lens grating is placed in front of a flat panel display, two three-dimensional image pairs with parallax are respectively obtained by the left eye and the right eye of a viewer through the light splitting effect of a cylindrical lens, and finally, the three-dimensional effect can be obtained through brain synthesis. The greatest advantage of the cylindrical lenticular naked eye 3D display is that the loss of picture brightness and the influence of moire fringes are small. In order to reduce the moire effect and the loss of image resolution in all directions, the lenticular lens is tilted at an angle. After the cylindrical lens grating is inclined, crosstalk between image pairs can occur between viewpoints, and left and right eyes of a viewer can simultaneously receive two image pairs with different parallaxes, so that the viewer can feel dizzy and other discomfort phenomena.
There are many methods for lenticular autostereoscopic display to reduce the cross talk between viewpoints. If the brightness value of the crosstalk part is close to the originally received value by adjusting the brightness of the adjacent sub-pixels, the method eliminates the ghost image caused by image crosstalk but does not give a specific crosstalk reduction value, the whole picture can be distorted and needs a large amount of data operation, the method is easy to realize for a static picture, but needs a high-requirement processor for video operation. There are also methods of improving the brightness variation problem and crosstalk problem at different positions of the viewpoint by changing the shape of the optical switch plate of the unit LCD, and reducing crosstalk by designing a new type of free-curved cylindrical lens grating, but these methods have limited reduction of crosstalk.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide a method for reducing the crosstalk degree of a cylindrical lens type naked eye 3D display system, which reduces the crosstalk area of adjacent viewpoints of a naked eye 3D display and the crosstalk degree of the edge of a visual area. To achieve the above objects and other advantages in accordance with the present invention, there is provided a method of reducing crosstalk in a lenticular naked-eye 3D display system, comprising:
s1, calculating the corresponding inclination angle alpha of the cylindrical lens and the thickness B of the moire fringes under the original state according to the pixel position on the original LCD image panel;
s2, translating the position of the pixel in the 2 nd row on the LCD image panel by delta a, sequentially translating the subsequent rows, and translating the pixel in the Nth row by (N-1) delta a;
s3, reducing the inclination angle alpha value of the cylindrical lens, and calculating a new inclination angle alpha' of the cylindrical lens;
s4, keeping the thickness of the Moire fringe the same as the value in the original state, reducing the pixel interval m to m ', and correspondingly reducing the pitches u to u' of the cylindrical lens;
s5, calculating the crosstalk area, the visible area and the optimal visual area, determining whether the requirements are met, and judging whether the pixel position translation amount delta a, the reduced pixel interval m 'and the reduced cylindrical lens pitch u' are reasonable or not by combining the processing technology; if the requirements can be met, all parameters are determined, if the requirements cannot be met, the step returns to S2, and a new translation amount delta a is selected for recalculation until the requirements are met.
Preferably, the lenticular inclination angle α and the moire fringe thickness B in step S1 are calculated:
α=arctan(t 1 /b) (1)
where b is the height of a single rectangular pixel, t 1 Is the center-to-center spacing of adjacent pixel columns,
moire fringe thickness B:
Figure BDA0003629977240000031
since the pixel pitch m is much larger than the pitch q between the edges of two adjacent cylindrical lenses, the visual q ≈ 0, then:
Figure BDA0003629977240000032
preferably, the new cylindrical lens inclination angle α' is calculated in the calculating step S3:
making the 2 nd row pixel position on the LCD image panel as the translation amount of delta a, and sequentially translating the subsequent row pixels, then for the Nth row pixels, the (N-1) delta a needs to be translated, and calculating a new cylindrical lens inclination angle alpha' as follows:
α’=arctan(Δa/b) (7)
preferably, the reduced pixel interval m' is calculated in the calculating step S4:
ensuring the thickness of the moire fringes to be unchanged, wherein the pixel interval m' after reduction is as follows:
m’=Bsinα’ (8)
at this time, the center distance t between adjacent pixel columns after translation 1 ' is:
t 1 ’=a+m’ (9)。
preferably, the reduced cylindrical lens pitch u' is calculated in the calculating step S4:
the LCD image panel pixels should be placed at the cylindrical lens focal plane, l is the cylindrical lens thickness, l' is the cylindrical lens to viewing area distance, and r is the cylindrical lens radius of curvature. Order:
Figure BDA0003629977240000033
the reduced lenticular pitch is:
Figure BDA0003629977240000034
compared with the prior art, the invention has the beneficial effects that: by translating the pixel position of the LCD image panel and changing the inclination angle of the cylindrical lens, the crosstalk degree of the cylindrical lens type naked eye 3D display system can be effectively reduced, the optimal visual area is increased, and a viewpoint image with the lowest crosstalk degree can be obtained even if an observer moves in the range of the optimal visual area. The method can be conveniently combined with other methods for use, and better effect can be obtained.
Drawings
FIG. 1 is a schematic diagram of an LCD image panel before and after pixel translation according to the method for reducing crosstalk of a lenticular naked-eye 3D display system of the present invention;
FIG. 2 is a schematic moire fringe thickness diagram of a method for reducing crosstalk of a lenticular naked-eye 3D display system according to the present invention;
FIG. 3 is a schematic diagram of lenticular grating imaging for reducing crosstalk in a lenticular naked-eye 3D display system according to the present invention;
FIG. 4 is a modified front view A, B illuminance graph of a method for reducing crosstalk in a lenticular naked-eye 3D display system according to the present invention;
fig. 5 is a modified rear viewpoint A, B luminance graph of the method for reducing crosstalk of the lenticular naked-eye 3D display system according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1-5, a method of reducing crosstalk in a lenticular naked-eye 3D display system includes:
s1, calculating the corresponding inclination angle alpha of the cylindrical lens and the thickness B of the moire fringes under the original state according to the pixel position on the original LCD image panel;
s2, translating the position of the pixel in the 2 nd row on the LCD image panel by delta a, and translating the subsequent rows in sequence, wherein the pixel in the Nth row needs to be translated by (N-1) delta a;
s3, reducing the inclination angle alpha value of the cylindrical lens, and calculating a new inclination angle alpha' of the cylindrical lens;
s4, keeping the thickness of the moire fringes the same as the value in the original state, reducing the pixel interval m to m 'and correspondingly reducing the pitches u to u' of the cylindrical lenses;
s5, calculating the crosstalk area, the visible area and the optimal visual area, determining whether the requirements are met, and judging whether the pixel position translation amount delta a, the reduced pixel interval m 'and the reduced cylindrical lens pitch u' are reasonable or not by combining the processing technology; if the requirements can be met, all parameters are determined, if the requirements cannot be met, the step returns to S2, and a new translation amount delta a is selected for recalculation until the requirements are met.
Further, the lenticular inclination angle α and the moire fringe thickness B in step S1 are calculated:
α=arctan(t 1 /b) (1)
the cross-talk area is calculated at this time as:
S string =a 2 b/8t 1 (2)
Calculating the thickness of the moire fringes according to the formulas (3) and (4):
Figure BDA0003629977240000051
Figure BDA0003629977240000052
obtaining:
Figure BDA0003629977240000053
since the pixel pitch m is much larger than the pitch q between the edges of two adjacent cylindrical lenses, the visual q ≈ 0, then:
Figure BDA0003629977240000054
in fig. 1, 1 and 2 indicate that two rows of rectangular pixels are covered under a single cylindrical lens, a black triangular area in the figure is a crosstalk area generated by two rows of pixels, a is the width of the single rectangular pixel, b is the height of the single rectangular pixel, alpha and alpha' are the tilt angles of the cylindrical lens grating before and after translation respectively, delta a is the translation amount of the 2 nd row of pixels on the LCD image panel, t is the translation amount of the 2 nd row of pixels on the LCD image panel 1 And t 1 'is the central distance between adjacent pixel columns before and after translation, m and m' are the pixel distances before and after translation, u and u 'are the pitches of the cylindrical lens grating before and after translation, and k' are the same viewpoint pixel column distances before and after translation.
As shown in fig. 1(b), the position of the 2 nd row of pixels on the LCD image panel is translated by Δ a, and the subsequent rows of pixels are sequentially translated, so that the nth row of pixels needs to be translated by (N-1) Δ a. At this time, the new cylindrical lens tilt angle α' is calculated as:
α’=arctan(Δa/b) (7)
from (6), the moire fringes gradually increase with the decrease of the inclination angle α, and the pixel pitch is adjusted to ensure that the moire fringe thickness is constant.
Under the condition of ensuring that the thickness of the moire fringes is not changed, the pixel interval m' after reduction is as follows:
m’=Bsinα’ (8)
the center distance t of the adjacent pixel columns after translation 1 ' is:
t 1 ’=a+m’ (9)
the cross-talk area is about:
S’ string ≈abΔa/8t 1 ’ (10)
Then, the corresponding reduced cylindrical lens pitch u' is calculated, as shown in FIG. 3, where a is the width of a single rectangular pixel, m is the pixel pitch, and t is 1 ' is the central distance between adjacent pixel columns, and c is singleThe cylindrical lens is characterized in that the curvature center of the cylindrical lens is delta c, the distance from the curvature center to the edge of the cylindrical lens is u ', the cylindrical lens pitch is u ', k ' is the interval of pixel columns at the same viewpoint, l is the grating thickness, l ' is the distance from the grating to a viewing area, r is the curvature radius of the cylindrical lens, w is the distance from the edge of the cylindrical lens to the edge of the corresponding pixel, T ' is the width of a single viewpoint after being imaged by the cylindrical lens, M ' is the width of a (a + s) range after being imaged by the cylindrical lens, P is a reference point of the edge of the pixel, and P ' is the position of a P point after being imaged by the cylindrical lens. Since the pixels of the LCD image panel should be placed at the focal plane of the lenticular lens, l ═ f, can be found from the thick lens focal length calculation formula:
Figure BDA0003629977240000061
wherein n is the refractive index of the material of the cylindrical lens, and n 0 Is the refractive index of air and r is the radius of curvature of the cylindrical lens. For the convenience of calculation, n is approximately 1.5, and n is not easy to be generalized 0 1, so: l-f-3 r. From a similar triangle we can derive:
Figure BDA0003629977240000062
Figure BDA0003629977240000063
order:
Figure BDA0003629977240000064
the following formulas (13) and (14) give:
M′=Qδc+(1-Q)w (15)
when the point p moves to the next column period position (k' + w) from the same viewpoint there are:
M′=Q(3δc)+(1-Q)(k′+w) (16)
simultaneous (15) (16), where 2 δ c ═ u', available:
Figure BDA0003629977240000071
i.e. the same viewpoint pixel column pitch is Q (Q-1) times the lenticular pitch. Therefore, the center-to-center distance between adjacent pixel rows after translation is:
Figure BDA0003629977240000072
the corresponding reduction in the cylindrical lens pitch u' is:
Figure BDA0003629977240000073
simulation calculations were performed using the 55 inch 4K display screen parameters as an example. The display screen structure parameters are as follows:
TABLE 1 calculation of selected display screen configuration parameters
Structural parameters Value (unit: mm)
k 0.1522
t 1 0.0761
a 0.0500
l' 2000
The cylinder lens tilt angle without pixel translation is 26.9 °, m ═ t 1 -a ═ 0.0261mm, the moire fringe thickness calculated as: b ≈ 0.0577 mm.
The situation before improvement is simulated, the number of pixels of the simulation is 120 × 60, two viewpoints are marked as A and B, and fig. 4 is a luminance graph A, B before improvement. In the figure, H is a maximum crosstalk point, and L is a minimum crosstalk point.
Calculating formula according to the crosstalk degree:
crosstalk=I leakage /I signal (19)
wherein crosstalk is crosstalk, I leakage For intensity of crosstalk, I signal Is the effective signal strength. Calculating to obtain the maximum crosstalk degree of the edge of the visual area, which is about 50 percent; the optimal viewpoint crosstalk is about 0.93%.
And then simulating the improved structure in the same state. The thickness of the moire fringes is guaranteed to be unchanged, the sub-pixel pitch is reduced to half of the original pitch, and the inclination angle of the adjusted cylindrical lens is 11.9 degrees. Modified viewpoint A, B illuminance graph, as shown in fig. 5. In the figure, H is a maximum crosstalk point, and L is a minimum crosstalk point.
The maximum crosstalk degree of the visual area edge is reduced by about 20 percent through calculation, the optimal viewpoint crosstalk degree is reduced to 0.32 percent from about 0.93 percent, and the optimal visual area is increased. Due to the fact that the pixel spacing is reduced, the cylindrical lens pitch is reduced, the system visual area is reduced from 50mm to 35mm, the visual area range is between 32.5mm and 65mm, and the improvement is still within an acceptable range.
The method can also be combined with methods such as changing the pixel shape of the optical switch plate to further reduce crosstalk.
The number of devices and the scale of the processes described herein are intended to simplify the description of the invention, and applications, modifications and variations of the invention will be apparent to those skilled in the art.
While embodiments of the invention have been described above, it is not intended to be limited to the details shown, described and illustrated herein, but is to be accorded the widest scope consistent with the principles and novel features herein disclosed, and to such extent that such modifications are readily available to those skilled in the art, and it is not intended to be limited to the details shown and described herein without departing from the general concept as defined by the appended claims and their equivalents.

Claims (5)

1. A method for reducing crosstalk of a cylindrical lens type naked eye 3D display system is characterized by comprising the following steps:
s1, calculating the corresponding inclination angle alpha of the cylindrical lens and the thickness B of the moire fringes under the original state according to the pixel position on the original LCD image panel;
s2, making the position of the pixel in the 2 nd row on the LCD image panel as the translation amount of delta a, and translating the subsequent rows in sequence, wherein the pixel in the Nth row needs to be translated by (N-1) delta a;
s3, reducing the value of the inclination angle alpha of the cylindrical lens, and calculating a new inclination angle alpha' of the cylindrical lens;
s4, keeping the thickness of the moire fringes the same as the value in the original state, reducing the pixel interval m to m 'and correspondingly reducing the pitches u to u' of the cylindrical lenses;
s5, calculating the crosstalk area, the visible area and the optimal visual area, determining whether the requirements are met, and judging whether the pixel position translation amount delta a, the reduced pixel interval m 'and the reduced cylindrical lens pitch u' are reasonable or not by combining the processing technology; if the requirements can be met, all parameters are determined, if the requirements cannot be met, the step returns to S2, and a new translation amount delta a is selected for recalculation until the requirements are met.
2. The method of claim 1, wherein the step of calculating the tilt angle α and the moire fringe thickness B of the lenticular lens in the step S1 is as follows:
α=arctan(t 1 /b) (1)
where b is the height of a single rectangular pixel, t 1 Is the center-to-center spacing of adjacent pixel columns,
moire fringe thickness B:
Figure FDA0003629977230000011
since the pixel pitch m is much larger than the pitch q between the edges of two adjacent cylindrical lenses, the visual q ≈ 0, then:
Figure FDA0003629977230000012
3. the method for reducing crosstalk of the cylindrical lens type naked-eye 3D display system according to claim 1, wherein the new cylindrical lens inclination angle α' is calculated in the calculating step S3:
making the 2 nd row pixel position on the LCD image panel as the translation amount of delta a, and sequentially translating the subsequent row pixels, then for the Nth row pixels, the (N-1) delta a needs to be translated, and calculating a new cylindrical lens inclination angle alpha' as follows:
α’=arctan(Δa/b) (7)。
4. the method for reducing crosstalk in a lenticular naked-eye 3D display system according to claim 1, wherein the reduced pixel spacing m' is calculated in the calculating step S4:
ensuring the thickness of the moire fringes to be unchanged, wherein the pixel interval m' after reduction is as follows:
m’=Bsinα’ (8)
at this time, the center distance t between adjacent pixel columns after translation 1 ' is:
t 1 ’=a+m’ (9)。
5. the method for reducing crosstalk in a lenticular naked-eye 3D display system according to claim 1, wherein the reduced lenticular pitch u' is calculated in the calculating step S4:
the LCD image panel pixels should be placed at the cylindrical lens focal plane, l is the cylindrical lens thickness, l' is the cylindrical lens to viewing area distance, r is the cylindrical lens radius of curvature, order:
Figure FDA0003629977230000021
the reduced cylinder lens pitch is:
Figure FDA0003629977230000022
CN202210487948.9A 2022-05-06 2022-05-06 Method for reducing crosstalk degree of cylindrical lens type naked eye 3D display system Pending CN114924424A (en)

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Publication number Priority date Publication date Assignee Title
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