CN114967173B - 3D display device based on gradient slit grating and gradient pitch pinhole array - Google Patents

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

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CN114967173B
CN114967173B CN202210535807.XA CN202210535807A CN114967173B CN 114967173 B CN114967173 B CN 114967173B CN 202210535807 A CN202210535807 A CN 202210535807A CN 114967173 B CN114967173 B CN 114967173B
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pitch
gradient
pinholes
slit grating
pinhole array
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CN114967173A (en
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吴非
范钧
樊为
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Chengdu Technological University CDTU
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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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  • Physics & Mathematics (AREA)
  • Geometry (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Holo Graphy (AREA)

Abstract

The invention discloses a 3D display device based on a gradient slit grating and a gradient pitch pinhole array, wherein a display screen is used for displaying the gradient pitch image element array; the gradual change slit grating is used for modulating an optical path; a graded pitch pinhole array for imaging; the aperture widths of pinholes in the taper pitch pinhole array are the same; the pitch of the slits in the gradual change slit grating is gradually increased from the middle to the two sides, and the aperture width of the slits in the gradual change slit grating is gradually increased from the middle to the two sides; the horizontal pitch of pinholes in the gradual pitch pinhole array is gradually increased from the middle to the 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 elements are projected to an imaging area to reconstruct a 3D image through corresponding slits and pinholes in sequence; 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 gradient slit grating and gradient pitch pinhole array
Technical Field
The invention relates to a 3D display technology, in particular to a 3D display device based on a graded slit grating and a graded pitch pinhole array.
Background
The prior art proposal provides an integrated imaging 3D display device based on a pinhole array with gradual change pitch, which comprises a display screen and a pinhole array with gradual change pitch; the display screen is used for displaying the micro-image array; the gradual change pitch pinhole array is placed in front of the display screen, and the image elements in the micro-image array reconstruct a 3D scene through pinholes in the gradual change pitch pinhole array; in the pinhole array with the gradual change pitch, the pinholes in the same row have the same horizontal pitch; pinholes in the same row have the same vertical pitch, and the horizontal pitch gradually increases from the center of the row to the edge of the row; the image elements are in one-to-one correspondence with the pinholes, and the horizontal and vertical pitches of the image elements are respectively the same as the horizontal and vertical pitches of the corresponding pinholes; at the optimal viewing distance, the integrated imaging 3D display device has a horizontal viewing angle θ of
Where p is the horizontal pitch of the pinholes at the center of the graded pitch pinhole array, g is the spacing of the display screen from the graded pitch pinhole array, and w is the aperture width of the pinholes. As can be seen from the above equation, in the conventional art, the horizontal viewing angle is independent of the number of pinholes in the horizontal direction, but inversely proportional to the aperture width of the pinholes.
Disclosure of Invention
The invention provides a 3D display device based on a gradient slit grating and a gradient pitch pinhole array, which is shown in figure 1 and is characterized by comprising a display screen, the gradient slit grating and the gradient pitch pinhole array; the display screen, the gradient slit grating and the gradient pitch pinhole array are sequentially arranged in parallel; the horizontal widths of the display screen, the gradient slit grating and the gradient pitch pinhole array are the same; the vertical widths of the display screen, the gradient slit grating and the gradient 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 modulating an optical path; a graded pitch pinhole array for imaging; the aperture widths of pinholes in the taper pitch pinhole array are the same;
the pitch of the slits in the gradient slit grating gradually increases from the middle to the two sides, and the aperture width of the slits in the gradient slit grating gradually increases from the middle to the two sides, as shown in fig. 2; the pitch h i of the ith row of slits in the gradient slit grating and the aperture width w i of the ith row of slits in the gradient slit grating are calculated by the following formula
(1)
(2)
Wherein p is the pitch of the slits positioned in the middle of the gradient slit grating, g is the distance between the display screen and the gradient pitch pinhole array, m is the number of slits, l is the optimal viewing distance, v is the aperture width of the pinholes, and d is the distance between the gradient slit grating and the gradient pitch pinhole array;
The horizontal pitches of pinholes in the same row of the pinhole array with the gradual pitch are the same, and the horizontal pitches of pinholes in the pinhole array with the gradual pitch gradually increase from the middle to the two sides, as shown in figure 3; the number of pinholes in the horizontal direction is equal to the number of slits; the horizontal pitch of the ith row of pinholes in the gradient pitch pinhole array is equal to the pitch of the ith row of slits in the gradient slit grating; the distance d between the gradient slit grating and the gradient pitch pinhole array meets the following conditions
(3)
The number of image elements in the horizontal direction is equal to the number of pinholes in the horizontal direction; the number of picture elements in the vertical direction is equal to the number of pinholes in the vertical direction; the horizontal pitches of the image elements positioned in the same column of the gradual change pitch image element array are the same; the horizontal pitch of the ith row of image elements in the gradient pitch image element array is equal to the horizontal pitch of the ith row of pinholes in the gradient pitch pinhole array; the vertical pitch of the image element and the vertical pitch of 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 elements are projected to an imaging area to reconstruct a 3D image through corresponding slits and pinholes in sequence; at the optimum viewing distance, the horizontal viewing angle θ is calculated by the following formula
(4)
The horizontal viewing angle is independent of the number of pinholes in the horizontal direction and is proportional to the width of the pinhole aperture.
Drawings
FIG. 1 is a schematic diagram 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 according to the present invention
The graphic reference numerals in the above figures are:
1. and 2, a display screen, a gradient slit grating and 3, a gradient 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 present invention. It is noted that the following examples are given for the purpose of illustration only and are not to be construed as limiting the scope of the invention, since numerous insubstantial modifications and adaptations of the invention will be within the scope of the invention as viewed by one skilled in the art from the foregoing disclosure.
The invention provides a 3D display device based on a gradient slit grating and a gradient pitch pinhole array, which is shown in figure 1 and is characterized by comprising a display screen, the gradient slit grating and the gradient pitch pinhole array; the display screen, the gradient slit grating and the gradient pitch pinhole array are sequentially arranged in parallel; the horizontal widths of the display screen, the gradient slit grating and the gradient pitch pinhole array are the same; the vertical widths of the display screen, the gradient slit grating and the gradient 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 modulating an optical path; a graded pitch pinhole array for imaging; the aperture widths of pinholes in the taper pitch pinhole array are the same;
the pitch of the slits in the gradient slit grating gradually increases from the middle to the two sides, and the aperture width of the slits in the gradient slit grating gradually increases from the middle to the two sides, as shown in fig. 2; the pitch h i of the ith row of slits in the gradient slit grating and the aperture width w i of the ith row of slits in the gradient slit grating are calculated by the following formula
(1)
(2)
Wherein p is the pitch of the slits positioned in the middle of the gradient slit grating, g is the distance between the display screen and the gradient pitch pinhole array, m is the number of slits, l is the optimal viewing distance, v is the aperture width of the pinholes, and d is the distance between the gradient slit grating and the gradient pitch pinhole array;
The horizontal pitches of pinholes in the same row of the pinhole array with the gradual pitch are the same, and the horizontal pitches of pinholes in the pinhole array with the gradual pitch gradually increase from the middle to the two sides, as shown in figure 3; the number of pinholes in the horizontal direction is equal to the number of slits; the horizontal pitch of the ith row of pinholes in the gradient pitch pinhole array is equal to the pitch of the ith row of slits in the gradient slit grating; the distance d between the gradient slit grating and the gradient pitch pinhole array meets the following conditions
(3)
The number of image elements in the horizontal direction is equal to the number of pinholes in the horizontal direction; the number of picture elements in the vertical direction is equal to the number of pinholes in the vertical direction; the horizontal pitches of the image elements positioned in the same column of the gradual change pitch image element array are the same; the horizontal pitch of the ith row of image elements in the gradient pitch image element array is equal to the horizontal pitch of the ith row of pinholes in the gradient pitch pinhole array; the vertical pitch of the image element and the vertical pitch of 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 elements are projected to an imaging area to reconstruct a 3D image through corresponding slits and pinholes in sequence; at the optimum viewing distance, the horizontal viewing angle θ is calculated by the following formula
(4)
The horizontal viewing angle is independent of the number of pinholes in the horizontal direction and is proportional to the width of the pinhole aperture.
The number of the slits is 5, the pitch of the slits positioned in the middle of the gradual change slit grating is 10mm, the aperture width of the pinholes is 2mm, the distance between the display screen and the gradual change pitch pinhole array is 10mm, the distance between the gradual change slit grating and the gradual change pitch pinhole array is 6mm, and the optimal viewing distance is 1010mm, and the pitches of the slits in the 1 st to 5 th columns in the gradual change slit grating are respectively 10.4mm, 10.2mm, 10mm, 10.2mm and 10.4mm calculated by the formula (1); calculating according to the formula (2), wherein the aperture widths of the slits in the 1 st to 5 th rows in the gradient slit grating are 5.44mm, 5.32mm, 5.2mm, 5.32mm and 5.44mm respectively; the horizontal viewing angle of the 3D display device calculated from (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 gradient slit grating and the gradient pitch pinhole array are sequentially arranged in parallel; the horizontal widths of the display screen, the gradient slit grating and the gradient pitch pinhole array are the same; the vertical widths of the display screen, the gradient slit grating and the gradient 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 modulating an optical path; a graded pitch pinhole array for imaging; the aperture widths of pinholes in the taper pitch pinhole array are the same; the pitch of the slits in the gradual change slit grating is gradually increased from the middle to the two sides, and the aperture width of the slits in the gradual change slit grating is gradually increased from the middle to the two sides; the pitch h i of the ith row of slits in the gradient slit grating and the aperture width w i of the ith row of slits in the gradient slit grating are calculated by the following formula
Wherein p is the pitch of the slits positioned in the middle of the gradient slit grating, g is the distance between the display screen and the gradient pitch pinhole array, m is the number of slits, l is the optimal viewing distance, v is the aperture width of the pinholes, and d is the distance between the gradient slit grating and the gradient pitch pinhole array; the horizontal pitches of pinholes in the pinhole array with the gradual change pitch are the same, and the horizontal pitches of pinholes in the pinhole array with the gradual change pitch 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; the horizontal pitch of the ith row of pinholes in the gradient pitch pinhole array is equal to the pitch of the ith row of slits in the gradient slit grating; the distance d between the gradient slit grating and the gradient pitch pinhole array meets the following conditions
The number of image elements in the horizontal direction is equal to the number of pinholes in the horizontal direction; the number of picture elements in the vertical direction is equal to the number of pinholes in the vertical direction; the horizontal pitches of the image elements positioned in the same column of the gradual change pitch image element array are the same; the horizontal pitch of the ith row of image elements in the gradient pitch image element array is equal to the horizontal pitch of the ith row of pinholes in the gradient pitch pinhole array; the vertical pitch of the image element and the vertical pitch of 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 elements are projected to an imaging area to reconstruct a 3D image through corresponding slits and pinholes in sequence; at the optimum viewing distance, the horizontal viewing angle θ is calculated by the following formula
The horizontal viewing angle is independent of the number of pinholes in the horizontal direction and is proportional to the width of the pinhole aperture.
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