CN114967173A - 3D display device based on gradual change slit grating and gradual change pitch pinhole array - Google Patents

3D display device based on gradual change slit grating and gradual change pitch pinhole array Download PDF

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CN114967173A
CN114967173A CN202210535807.XA CN202210535807A CN114967173A CN 114967173 A CN114967173 A CN 114967173A CN 202210535807 A CN202210535807 A CN 202210535807A CN 114967173 A CN114967173 A CN 114967173A
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pitch
pinholes
gradual change
pinhole array
slit grating
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CN114967173B (en
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吴非
范钧
樊为
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Chengdu Technological University CDTU
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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
    • G02B30/30Optical 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 parallax barriers
    • G02B30/32Optical 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 parallax barriers characterised by the geometry of the parallax barriers, e.g. staggered barriers, slanted parallax arrays or parallax arrays of varying shape or size

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Abstract

The invention discloses a 3D display device based on a gradual change slit grating and a gradual change pitch pinhole array, wherein a display screen is used for displaying a gradual change pitch image element array; the gradual change slit grating is used for light path modulation; the pinhole array with the gradually changed pitch is used for imaging; the aperture widths of the pinholes in the gradual pitch pinhole array are the same; the pitch of the slits in the gradient slit grating is gradually increased from the middle to the two sides, and the aperture width of the slits in the gradient slit grating is gradually increased from the middle to the two sides; the horizontal pitch of the pinholes in the gradual-change pitch pinhole array is gradually increased from the middle to two sides; the centers of the image elements are correspondingly aligned with the centers of the corresponding slits and pinholes; a part of light rays emitted by the image element are projected to an imaging area through the corresponding slits and pinholes in sequence to reconstruct a 3D image; at the optimal viewing distance, the horizontal viewing angle is independent of the number of pinholes in the horizontal direction and is proportional to the aperture width of the pinholes.

Description

3D display device based on gradual change slit grating and gradual change pitch pinhole array
Technical Field
The invention relates to a 3D display technology, in particular to a 3D display device based on a gradient slit grating and a gradient pitch pinhole array.
Background
The prior technical scheme provides an integrated imaging 3D display device based on a gradient pitch pinhole array, which comprises a display screen and the gradient pitch pinhole array; the display screen is used for displaying the micro-image array; the pinhole array with the gradually changed pitch is placed in front of the display screen, and image elements in the micro-image array reconstruct a 3D scene through pinholes in the pinhole array with the gradually changed pitch; in the gradual change pitch pinhole array, the horizontal pitches of pinholes in the same column are the same; the vertical pitches of the pinholes in the same row are the same, and the horizontal pitch is from the center of the row to the edge of the rowGradually increasing; the image elements correspond to the pinholes one by one, and the horizontal pitch and the vertical pitch of the image elements are respectively the same as those of the corresponding pinholes; horizontal viewing perspective of an integrated imaging 3D display device at optimal viewing distanceθIs composed of
Figure 626934DEST_PATH_IMAGE002
Wherein the content of the first and second substances,pis the horizontal pitch of the pinholes at the center of the graded pitch pinhole array,gis the distance between the display screen and the pinhole array with gradually changed pitch,wis the aperture width of the pinhole. As can be seen from the above formula, in the prior art, the horizontal viewing angle is independent of the number of pinholes in the horizontal direction, but is inversely proportional to the aperture width of the pinholes.
Disclosure of Invention
The invention provides a 3D display device based on a gradual change slit grating and a gradual change pitch pinhole array, as shown in figure 1, which is characterized by comprising a display screen, a gradual change slit grating and a gradual change pitch pinhole array; the display screen, the gradual change slit grating and the gradual change pitch pinhole array are sequentially arranged in parallel; the horizontal widths of the display screen, the gradual change slit grating and the gradual change pitch pinhole array are the same; the vertical widths of the display screen, the gradual change slit grating and the gradual change pitch pinhole array are the same; the display screen is used for displaying the gradual change pitch image element array; the gradual change slit grating is used for light path modulation; the pinhole array with the gradually changed pitch is used for imaging; the aperture widths of the pinholes in the gradual pitch pinhole array are the same;
the pitch of the slits in the gradient slit grating gradually increases from the middle to both sides, and the aperture width of the slits in the gradient slit grating gradually increases from the middle to both sides, as shown in fig. 2; first in the gradual change slit gratingiPitch of column slith i And in the graded slit gratingiAperture width of column slitw i Calculated from the following formula
Figure 544075DEST_PATH_IMAGE004
(1)
Figure 323812DEST_PATH_IMAGE006
(2)
Wherein the content of the first and second substances,pis the pitch of the slit in the middle of the graded slit grating,gis the distance between the display screen and the pinhole array with gradually changed pitch,mis the number of the slits and,lis the best viewing distance for the user,vis the aperture width of the pinhole,dthe distance between the gradual change slit grating and the gradual change pitch pinhole array;
the horizontal pitches of the pinholes in the same column of the gradual-change pitch pinhole array are the same, and the horizontal pitches of the pinholes in the gradual-change pitch pinhole array are gradually increased from the middle to the two sides, as shown in the attached figure 3; the number of pinholes in the horizontal direction is equal to the number of slits; in the gradual pitch pinhole arrayiThe horizontal pitch of the row pin holes is equal to that of the first gradually-changed slit gratingiThe pitch of the column slits; spacing between gradient slit grating and gradient pitch pinhole arraydSatisfies the following formula
Figure 597317DEST_PATH_IMAGE008
(3)
The number of image elements in the horizontal direction is equal to the number of pinholes in the horizontal direction; the number of image elements in the vertical direction is equal to the number of pinholes in the vertical direction; the horizontal pitches of the image elements in the same column of the image element array with the gradually changed pitches are the same; first in an array of progressively pitched picture elementsiThe horizontal pitch of the column picture elements is equal to the first in the gradual change pitch pinhole arrayiHorizontal pitch of column pinholes; the vertical pitches of the image element and the pinhole are the same; the centers of the image elements are correspondingly aligned with the centers of the corresponding slits and pinholes; a part of light rays emitted by the image element are projected to an imaging area through the corresponding slits and pinholes in sequence to reconstruct a 3D image; at the optimal viewing distance, horizontal viewing angleθCalculated from the following formula
Figure 411689DEST_PATH_IMAGE010
(4)
The horizontal viewing angle is independent of the number of pinholes in the horizontal direction and is proportional to the aperture width of the pinholes.
Drawings
FIG. 1 is a schematic view of the present invention
FIG. 2 is a schematic diagram of a graded slit grating according to the present invention
FIG. 3 is a schematic diagram of a graded pitch pinhole array of the present invention
The reference numbers in the figures are:
1. the display screen, 2, the gradual change slit grating, 3, the gradual change pitch pinhole array.
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 described in further detail with reference to the following detailed description of an exemplary embodiment of the invention. It should be noted that the following examples are given by way of illustration only and should not be construed as limiting the scope of the present invention, which is intended to be encompassed by the present invention as set forth herein.
The invention provides a 3D display device based on a gradual-change slit grating and a gradual-change pitch pinhole array, as shown in figure 1, the 3D display device is characterized by comprising a display screen, a gradual-change slit grating and a gradual-change pitch pinhole array; the display screen, the gradual change slit grating and the gradual change pitch pinhole array are sequentially arranged in parallel; the horizontal widths of the display screen, the gradual change slit grating and the gradual change pitch pinhole array are the same; the vertical widths of the display screen, the gradual change slit grating and the gradual change pitch pinhole array are the same; the display screen is used for displaying the gradual change pitch image element array; the gradual change slit grating is used for light path modulation; the pinhole array with the gradually changed pitch is used for imaging; the aperture widths of the pinholes in the gradual pitch pinhole array are the same;
the pitch of the slits in the gradient slit grating gradually increases from the middle to both sides, and the aperture width of the slits in the gradient slit grating gradually increases from the middle to both sides, as shown in fig. 2; gradual change slit lightIn the grid toiPitch of column slith i And in the graded slit gratingiAperture width of column slitw i Calculated from the following formula
Figure 234152DEST_PATH_IMAGE004
(1)
Figure 501185DEST_PATH_IMAGE006
(2)
Wherein the content of the first and second substances,pis the pitch of the slit in the middle of the graded slit grating,gis the distance between the display screen and the pinhole array with gradually changed pitch,mis the number of the slits and,lis the best viewing distance for the user,vis the aperture width of the pinhole,dthe distance between the gradual change slit grating and the gradual change pitch pinhole array;
the horizontal pitches of the pinholes in the same column of the gradual-change pitch pinhole array are the same, and the horizontal pitches of the pinholes in the gradual-change pitch pinhole array are gradually increased from the middle to the two sides, as shown in the attached figure 3; the number of pinholes in the horizontal direction is equal to the number of slits; in the gradual pitch pinhole arrayiThe horizontal pitch of the row pin holes is equal to that of the first gradually-changed slit gratingiThe pitch of the column slits; spacing between gradient slit grating and gradient pitch pinhole arraydSatisfies the following formula
Figure 700085DEST_PATH_IMAGE008
(3)
The number of image elements in the horizontal direction is equal to the number of pinholes in the horizontal direction; the number of image elements in the vertical direction is equal to the number of pinholes in the vertical direction; the horizontal pitches of the image elements in the same column of the image element array with the gradually changed pitches are the same; first in an array of graded-pitch picture elementsiThe horizontal pitch of the column picture elements is equal to the first in the gradual change pitch pinhole arrayiHorizontal pitch of column pinholes; the vertical pitches of the image element and the pinhole are the same; the centers of the image elements are correspondingly aligned with the centers of the corresponding slits and pinholes; drawing (A)A part of light rays emitted by the pixel elements are projected to an imaging area through the corresponding slits and pinholes in sequence to reconstruct a 3D image; at the optimum viewing distance, horizontal viewing angleθCalculated from the following formula
Figure 244330DEST_PATH_IMAGE010
(4)
The horizontal viewing angle is independent of the number of pinholes in the horizontal direction and is proportional to the aperture width of the pinholes.
The number of the slits is 5, the pitch of the slit positioned in the middle of the gradient slit grating is 10mm, the aperture width of the pinhole is 2mm, the distance between the display screen and the gradient pitch pinhole array is 10mm, the distance between the gradient slit grating and the gradient pitch pinhole array is 6mm, and the optimal viewing distance is 1010mm, so that the pitches of the 1 st to 5 th rows of slits in the gradient slit grating are respectively 10.4mm, 10.2mm, 10mm, 10.2mm and 10.4mm through calculation of the formula (1); the aperture widths of 1 st to 5 th rows of slits in the gradient slit grating are respectively 5.44mm, 5.32mm, 5.2mm, 5.32mm and 5.44mm through calculation of the formula (2); the horizontal viewing angle of the 3D display device calculated from equation (4) is 62 °. The horizontal viewing angle of the prior art solution based on the above parameters is 44 °.

Claims (1)

1. The 3D display device based on the gradient slit grating and the gradient pitch pinhole array is characterized by comprising a display screen, the gradient slit grating and the gradient pitch pinhole array; the display screen, the gradual change slit grating and the gradual change pitch pinhole array are sequentially arranged in parallel; the horizontal widths of the display screen, the gradual change slit grating and the gradual change pitch pinhole array are the same; the vertical widths of the display screen, the gradual change slit grating and the gradual change pitch pinhole array are the same; the display screen is used for displaying the gradual change pitch image element array; the gradual change slit grating is used for light path modulation; the pinhole array with the gradually changed pitch is used for imaging; the aperture widths of the pinholes in the gradual pitch pinhole array are the same; the pitch of the slits in the gradient slit grating is gradually increased from the middle to the two sides, and the aperture width of the slits in the gradient slit grating is gradually increased from the middle to the two sides; in the gradual change slit gratingFirst, theiPitch of column slith i And in the graded slit gratingiAperture width of column slitw i Calculated from the following formula
Figure 91576DEST_PATH_IMAGE002
Figure 845905DEST_PATH_IMAGE004
Wherein the content of the first and second substances,pis the pitch of the slit in the middle of the graded slit grating,gis the distance between the display screen and the pinhole array with gradually changed pitch,mis the number of the slits and,lis the best viewing distance for the user,vis the aperture width of the pinhole,dthe distance between the gradual change slit grating and the gradual change pitch pinhole array; the horizontal pitches of the pinholes in the same row of the gradual-change pitch pinhole array are the same, and the horizontal pitches of the pinholes in the gradual-change pitch pinhole array are gradually increased from the middle to the two sides; the number of pinholes in the horizontal direction is equal to the number of slits; in the gradual pitch pinhole arrayiThe horizontal pitch of the row pin holes is equal to that of the first gradually-changed slit gratingiThe pitch of the column slits; spacing between gradient slit grating and gradient pitch pinhole arraydSatisfies the following formula
Figure 458283DEST_PATH_IMAGE006
The number of image elements in the horizontal direction is equal to the number of pinholes in the horizontal direction; the number of image elements in the vertical direction is equal to the number of pinholes in the vertical direction; the horizontal pitches of the image elements in the same column of the image element array with the gradually changed pitches are the same; first in an array of progressively pitched picture elementsiThe horizontal pitch of the column picture elements is equal to the first in the gradual change pitch pinhole arrayiHorizontal pitch of column pinholes; the vertical pitches of the image element and the pinhole are the same; the centers of the image elements are correspondingly aligned with the centers of the corresponding slits and pinholes; one from the image elementPart of light rays are projected to an imaging area through the corresponding slits and pinholes in sequence to reconstruct a 3D image; at the optimum viewing distance, horizontal viewing angleθCalculated from the following formula
Figure 981668DEST_PATH_IMAGE008
The horizontal viewing angle is independent of the number of pinholes in the horizontal direction and is proportional to the aperture width of the pinholes.
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