CN113031301B - One-dimensional integrated imaging 3D display method with wide viewing angle and high optical efficiency - Google Patents

One-dimensional integrated imaging 3D display method with wide viewing angle and high optical efficiency Download PDF

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CN113031301B
CN113031301B CN202110355248.XA CN202110355248A CN113031301B CN 113031301 B CN113031301 B CN 113031301B CN 202110355248 A CN202110355248 A CN 202110355248A CN 113031301 B CN113031301 B CN 113031301B
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吴非
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Chengdu Aeronautic Polytechnic
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    • 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
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Abstract

The invention discloses a one-dimensional integrated imaging 3D display method with wide visual angle and high optical efficiency, which realizes 3D display through an integrated imaging display device; the integrated imaging display device comprises a display screen and a slit grating; the slit grating is positioned in front of the display screen and is correspondingly aligned; the display screen is used for displaying the discrete gradient width image element array; the discrete gradient width image element array comprises a plurality of image elements which are arranged in a discrete mode; the width of the image elements in the discrete gradient width image element array is gradually increased from the middle to two sides; the center of each image element is correspondingly aligned with the center of the slit corresponding to the image element; each image element reconstructs a 3D image through the slit corresponding to the image element, and light rays emitted by the image elements adjacent to the image element do not interfere with the 3D image reconstructed by the image element.

Description

One-dimensional integrated imaging 3D display method with wide viewing angle and high optical efficiency
Technical Field
The invention relates to 3D display, in particular to a one-dimensional integrated imaging 3D display method with wide viewing angle and high optical efficiency.
Background
An integrated imaging 3D display is a true 3D display without any vision aid. The integrated imaging 3D display records the three-dimensional information of a 3D scene on an image recording device through a pinhole array or a micro-lens array to generate an image element array, then the image element array is displayed on a display screen, and the original 3D scene is reconstructed through the pinhole array or the micro-lens array. The display mode has the characteristic of being watched by naked eyes, the shooting and displaying processes are relatively simple, and the 3D image with full parallax and full true colors can be displayed, so that the display mode is one of the main modes of 3D display at present. Compared with the integrated imaging 3D display based on the micro-lens array, the integrated imaging 3D display based on the pinhole array has the advantages of low cost, light weight, thin device thickness, no limitation of the manufacturing process on the pitch and the like. By adopting the slit grating to replace a pinhole array to realize one-dimensional integrated imaging 3D display, the optical efficiency and vertical or horizontal resolution of a 3D image can be increased.
In the traditional one-dimensional integrated imaging 3D display based on slit grating, an image element array is formed by closely arranging a plurality of image elements; each image element reconstructs a 3D image through the slit corresponding to the image element. However, a portion of the light rays emitted by picture elements adjacent to the picture element also pass through the slit and interfere with the 3D image reconstructed by the picture element, thereby reducing the viewing angle. In addition, the conventional one-dimensional integrated imaging 3D display based on the slit grating has the problem of low optical efficiency.
Viewing perspective of traditional slit grating-based one-dimensional integrated imaging 3D displayθAnd optical efficiencyφRespectively as follows:
Figure DEST_PATH_IMAGE002
Figure DEST_PATH_IMAGE004
wherein the content of the first and second substances,pis the pitch of the slits and is,wis the aperture width of the slit or slits,lis the distance of viewing of the image,gis the distance between the display screen and the slit grating,mis the number of picture elements.
Disclosure of Invention
The invention provides a one-dimensional integrated imaging 3D display method with wide visual angle and high optical efficiency, which realizes 3D display through integrated imaging display equipment; the integrated imaging display device is characterized by comprising a display screen and a slit grating; as shown in fig. 1, the slit grating is located in front of the display screen and aligned correspondingly; the display screen is used for displaying a discrete gradient width image element array, as shown in the attached figure 2; the discrete gradient width image element array comprises a plurality of image elements which are arranged in a discrete mode; the width of the image elements in the discrete gradient width image element array is gradually increased from the middle to two sides; the center of each image element is correspondingly aligned with the center of the slit corresponding to the image element; each image element reconstructs a 3D image through the slit corresponding to the image element, and light rays emitted by the image elements adjacent to the image element do not interfere with the 3D image reconstructed by the image element.
Preferably, the first of the array of discrete gradient width image elementsiWidth of column picture elementH i Calculated from the following formula
Figure DEST_PATH_IMAGE006
(1)
Wherein the content of the first and second substances,pis the pitch of the slits and is,H 1 is the width of the first column of picture elements in the array of discrete gradient width picture elements,lis the viewing distance, the distance between the viewer,gis the distance between the display screen and the slit grating,mis the number of picture elements.
Preferably, the width of the interval between the first column of picture elements and the second column of picture elementsaSatisfies the following formula:
Figure DEST_PATH_IMAGE008
(2)
wherein, the first and the second end of the pipe are connected with each other,lis the distance of viewing of the image,gis the distance between the display screen and the slit grating,wis the aperture width of the slit.
Preferably, the width of the first column of picture elementsH 1 The interval width of the first row of picture elements and the second row of picture elementsaRespectively as follows:
Figure DEST_PATH_IMAGE010
(3)
Figure DEST_PATH_IMAGE012
(4)
wherein, the first and the second end of the pipe are connected with each other,pis the pitch of the slits and is,lis the viewing distance, the distance between the viewer,gis the distance between the display screen and the slit grating,wis the aperture width of the slit; viewing perspective of one-dimensional integrated imaging 3D displayθAnd optical efficiencyφRespectively as follows:
Figure DEST_PATH_IMAGE014
(5)
Figure DEST_PATH_IMAGE016
(6)
wherein, the first and the second end of the pipe are connected with each other,mis the number of picture elements that are to be processed,H i is the first in a discrete gradient width image element arrayiWidth of column picture element.
Preferably, the width of the picture elements of the first columnH 1 The interval width of the first row of picture elements and the second row of picture elementsaRespectively as follows:
Figure DEST_PATH_IMAGE018
(7)
Figure DEST_PATH_IMAGE020
(8)
wherein the content of the first and second substances,pis the pitch of the slits and is,lis the distance of viewing of the image,gis the distance between the display screen and the slit grating,wis the aperture width of the slit; viewing perspective of one-dimensional integrated imaging 3D displayθAnd optical efficiencyφRespectively as follows:
Figure DEST_PATH_IMAGE022
(9)
Figure 782955DEST_PATH_IMAGE016
(10)
wherein, the first and the second end of the pipe are connected with each other,mis the number of picture elements that are to be processed,H i is the first in a discrete gradient width image element arrayiWidth of the column picture elements.
Drawings
FIG. 1 is a schematic view of the present invention
FIG. 2 is a schematic diagram of a discrete gradient width image element array according to the present invention
The reference numbers in the figures are:
1. the display screen, 2, slit grating, 3, picture element, 4, the interval between the picture element in the first row and the picture element in the second row.
It should be understood that the above-described figures are merely schematic and are not drawn to scale.
Detailed Description
The present invention will be further described in detail by describing in detail an exemplary embodiment of a wide viewing angle and high optical efficiency one-dimensional integrated imaging 3D display method according to the present invention. It should be noted that the following examples are only for illustrative purposes and should not be construed as limiting the scope of the present invention, and that the skilled person in the art may make modifications and adaptations of the present invention without departing from the scope of the present invention.
The invention provides a one-dimensional integrated imaging 3D display method with wide visual angle and high optical efficiency, which realizes 3D display through integrated imaging display equipment; the integrated imaging display device is characterized by comprising a display screen and a slit grating; as shown in fig. 1, the slit grating is located in front of the display screen and aligned correspondingly; the display screen is used for displaying the discrete gradient width image element array, as shown in the attached figure 2; the discrete gradient width image element array comprises a plurality of image elements which are arranged in a discrete mode; the width of the image elements in the discrete gradient width image element array is gradually increased from the middle to two sides; the center of each image element is correspondingly aligned with the center of the slit corresponding to the image element; each image element reconstructs a 3D image through the slit corresponding to the image element, and light rays emitted by the image elements adjacent to the image element do not interfere with the 3D image reconstructed by the image elements.
Preferably, the first image element in the discrete gradient width image element arrayiWidth of column picture elementH i Calculated from the following formula
Figure 637779DEST_PATH_IMAGE006
(1)
Wherein, the first and the second end of the pipe are connected with each other,pis the pitch of the slits and is,H 1 is the width of the first column of picture elements in the array of discrete gradient width picture elements,lis the distance of viewing of the image,gis the distance between the display screen and the slit grating,mis the number of picture elements.
Preferably, the width of the interval between the first column of picture elements and the second column of picture elementsaSatisfies the following formula:
Figure 417516DEST_PATH_IMAGE008
(2)
wherein, the first and the second end of the pipe are connected with each other,lis the distance of viewing of the image,gis the distance between the display screen and the slit grating,wis the aperture width of the slit.
Preferably, the width of the picture elements of the first columnH 1 The interval width of the first row of picture elements and the second row of picture elementsaRespectively as follows:
Figure 812725DEST_PATH_IMAGE010
(3)
Figure 627098DEST_PATH_IMAGE012
(4)
wherein the content of the first and second substances,pis the pitch of the slits and is,lis the viewing distance, the distance between the viewer,gis the distance between the display screen and the slit grating,wis the aperture width of the slit; viewing angle of one-dimensional integrated imaging 3D displayθAnd optical efficiencyφRespectively as follows:
Figure 449560DEST_PATH_IMAGE014
(5)
Figure 152812DEST_PATH_IMAGE016
(6)
wherein, the first and the second end of the pipe are connected with each other,mis the number of picture elements that are to be processed,H i is the first in the discrete gradient width image element arrayiWidth of the column picture elements.
Preferably, the width of the first column of picture elementsH 1 The interval width of the first row of picture elements and the second row of picture elementsaRespectively as follows:
Figure 351712DEST_PATH_IMAGE018
(7)
Figure 20590DEST_PATH_IMAGE020
(8)
wherein, the first and the second end of the pipe are connected with each other,pis the pitch of the slits and is,lis the viewing distanceThe distance between the two parts is equal to the distance between the two parts,gis the distance between the display screen and the slit grating,wis the aperture width of the slit; viewing angle of one-dimensional integrated imaging 3D displayθAnd optical efficiencyφRespectively as follows:
Figure 13954DEST_PATH_IMAGE022
(9)
Figure 768284DEST_PATH_IMAGE016
(10)
wherein the content of the first and second substances,mis the number of picture elements that are to be processed,H i is the first in the discrete gradient width image element arrayiWidth of the column picture elements.
The pitch of the slits is 10mm, the aperture width of the slits is 2mm, the distance between the display screen and the slit grating is 10mm, the viewing distance is 400mm, and the number of the image elements is 6, so that the width of the first row of image elements and the interval width between the first row of image elements and the second row of image elements are respectively 8.2mm and 2.05mm by the calculation of the formulas (3) and (4); calculating the widths of the picture elements in the 1 st to 5 th columns in the discrete gradient width image element array by the formula (1) to be 8.2mm, 7.7mm, 7.2mm, 7.7mm and 8.2mm respectively; the viewing angle and the optical efficiency of the one-dimensional integrated imaging 3D display calculated by the formulas (5) and (6) are respectively 52% and 26%. The viewing angle and the optical efficiency of the conventional slit grating-based one-dimensional integrated imaging 3D display based on the parameters are 41 degrees and 20 percent respectively.
The pitch of the slits is 10mm, the aperture width of the slits is 2mm, the distance between the display screen and the slit grating is 10mm, the viewing distance is 400mm, and the number of the image elements is 6, so that the width of the first row of image elements and the interval width between the first row of image elements and the second row of image elements are respectively 5.95mm and 4.3mm by calculation of formulas (7) and (8); calculating the widths of the picture elements of 1 st to 5 th columns in the discrete gradient width image element array by the formula (1) to be 5.95mm, 5.45mm, 4.95mm, 5.45mm and 5.95mm respectively; the viewing angle and the optical efficiency of the one-dimensional integrated imaging 3D display calculated by the formulas (9) and (10) are respectively 41% and 36.7%. The viewing angle and the optical efficiency of the conventional slit grating-based one-dimensional integrated imaging 3D display based on the parameters are 41 degrees and 20 percent respectively.

Claims (3)

1. The method is a one-dimensional integrated imaging 3D display method with wide visual angle and high optical efficiency, and the method realizes 3D display through integrated imaging display equipment; the integrated imaging display device is characterized by comprising a display screen and a slit grating; the slit grating is positioned in front of the display screen and is correspondingly aligned; the display screen is used for displaying the discrete gradient width image element array; the discrete gradient width image element array comprises a plurality of image elements which are arranged in a discrete mode; the width of the image elements in the discrete gradient width image element array is gradually increased from the middle to two sides; the center of each image element is correspondingly aligned with the center of the slit corresponding to the image element; each image element reconstructs a 3D image through the slit corresponding to the image element, and light rays emitted by the image elements adjacent to the image element do not interfere with the 3D image reconstructed by the image element; discrete gradient width image element arrayiWidth of column picture elementH i Calculated from the following formula
Figure 226650DEST_PATH_IMAGE001
(1)
Wherein the content of the first and second substances,pis the pitch of the slits and is,H 1 is the width of the first column of picture elements in the array of discrete gradient width picture elements,lis the viewing distance, the distance between the viewer,gis the distance between the display screen and the slit grating,mis the number of picture elements; the width of the interval between the first and second rows of picture elementsaSatisfies the following formula:
Figure 143791DEST_PATH_IMAGE002
(2)
wherein, the first and the second end of the pipe are connected with each other,wis the aperture width of the slit.
2. The hyperopia of claim 13D display method with one-dimensional integrated imaging of angle and high optical efficiency, characterized in that the width of the first column of picture elementsH 1 The interval width of the first row of picture elements and the second row of picture elementsaRespectively as follows:
Figure 923528DEST_PATH_IMAGE003
(3)
Figure 318737DEST_PATH_IMAGE004
(4)
wherein the content of the first and second substances,pis the pitch of the slits and is,lis the viewing distance, the distance between the viewer,gis the distance between the display screen and the slit grating,wis the aperture width of the slit; viewing angle of one-dimensional integrated imaging 3D displayθAnd optical efficiencyφRespectively as follows:
Figure 320060DEST_PATH_IMAGE005
(5)
Figure 142523DEST_PATH_IMAGE006
(6)
wherein the content of the first and second substances,mis the number of picture elements that are to be processed,H i is the first in the discrete gradient width image element arrayiWidth of column picture element.
3. The one-dimensional integrated imaging 3D display method with wide viewing angle and high optical efficiency as claimed in claim 1, wherein the width of the first column of image elementsH 1 The interval width of the first row of picture elements and the second row of picture elementsaRespectively as follows:
Figure 409556DEST_PATH_IMAGE007
(7)
Figure 608456DEST_PATH_IMAGE008
(8)
wherein the content of the first and second substances,pis the pitch of the slits and is,lis the viewing distance, the distance between the viewer,gis the distance between the display screen and the slit grating,wis the aperture width of the slit; viewing angle of one-dimensional integrated imaging 3D displayθAnd optical efficiencyφRespectively as follows:
Figure 277335DEST_PATH_IMAGE009
(9)
Figure 208382DEST_PATH_IMAGE006
(10)
wherein the content of the first and second substances,mis the number of picture elements that are to be processed,H i is the first in the discrete gradient width image element arrayiWidth of column picture element.
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