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Three-dimensional display scheme based on integral imaging with three-dimensional information processing

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Abstract

In a three-dimensional display scheme based on integral imaging, the mismatch of the system parameters between the pickup and display systems or between the display systems is an important issue from a practical point of view. In this paper, we propose a method that provides excellent flexibility to the integral imaging system parameters and display conditions. In the proposed method, elemental images obtained in the pickup process are digitally analyzed and full three-dimensional information of the object is extracted. The extracted three-dimensional information is then transmitted to each display system and modified, so as to be suitable for the display conditions and the system parameters of the display system. Finally elemental images are generated with the modified three-dimensional information for the display system and integrated in the form of a three-dimensional image.

©2004 Optical Society of America

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Figures (13)

Fig. 1.
Fig. 1. Concept of integral imaging and lens array mismatch (a) when the same lens arrays are used in the pickup and display (b) when different lens arrays are used in the pickup and display
Fig. 2.
Fig. 2. Concept of the proposed method
Fig. 3.
Fig. 3. Geometry of the integral imaging pickup part
Fig. 4.
Fig. 4. Disparity of the elemental images
Fig. 5.
Fig. 5. Concept of the pseudoscopic image problem
Fig. 6.
Fig. 6. Conventional method for overcoming the pseudoscopic image problem (a) simplified pickup system (b) display as a virtual image
Fig. 7.
Fig. 7. The portion of the elemental images captured by CCD
Fig. 8.
Fig. 8. Detected disparity map (a) initial disparity map (b) regulated disparity map
Fig. 9.
Fig. 9. 3D information obtained (a) x position (b) y position (c) z position
Fig. 10.
Fig. 10. Examples of the generated elemental images
Fig. 11.
Fig. 11. Integrated image with depth inversion (a) integrated image (b) diffused image by a diffuser at 9.5 cm (c) diffused image by a diffuser at 13 cm
Fig. 12.
Fig. 12. Integrated image with transverse magnification (a) diffused image by a diffuser at 9.5 cm (b) diffused image by a diffuser at 13 cm
Fig. 13.
Fig. 13. Integrated image observed from different directions

Tables (1)

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Table 1. Specifications of the experimental setup

Equations (10)

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y c , q = f a f c ( q φ y ) l z f c q φ l ,
d q 1 , q 2 = y c , q 1 y c , q 2 = ( q 2 q 1 ) f c f c φ l ( 1 z + 1 f a ) = ( q 2 q 1 ) d ,
ρ 2 tan 1 ( φ l 2 ( l + f a ) f a ) .
y f , q = g p ( q φ y ) ( z c + b ) + q φ ,
y f , q = g p ( q φ y ) ( z c + b ) + q φ .
y i , q = q φ ( 1 g p ( z c + b ) g d ( z c + b ) ) + y g p ( z c + b ) g d ( z c + b ) ,
1 z c ( z c + f a ) ( z c + b ) z c ( z c f a ) ( z c + b ) = 0
z c = z c 2 f a ,
b = z c 2 f a z c b ,
y i , q = y .
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