## Abstract

A scheme for the resolution-enhancement of a three-dimension/two-dimension convertible display based on integral imaging is proposed. The proposed method uses an additional lens array, located between the conventional lens array and a collimating lens. Using the additional lens array, the number of the point light sources is increased far beyond the number of the elemental lenses constituting the lens array, and, consequently, the resolution of the generated 3D image is enhanced. The principle of the proposed method is described and verified experimentally.

© 2005 Optical Society of America

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### Equations (8)

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(1)
$${\psi}_{1}=2{\mathrm{tan}}^{-1}\left(\frac{{\phi}_{1}}{2{f}_{1}}\right).$$
(2)
$$k{\phi}_{1}-l\mathrm{tan}\left(\frac{{\psi}_{1}}{2}\right)<q{\phi}_{2}<k{\phi}_{1}+l\mathrm{tan}\left(\frac{{\psi}_{1}}{2}\right),$$
(3)
$${k}_{l}{\phi}_{1}+l\mathrm{tan}\left(\frac{{\psi}_{1}}{2}\right)=q{\phi}_{2}={k}_{h}{\phi}_{1}-l\mathrm{tan}\left(\frac{{\psi}_{1}}{2}\right).$$
(4)
$${k}_{l}=\frac{q{\phi}_{2}}{{\phi}_{1}}-\frac{l}{2{f}_{1}},$$
(5)
$${k}_{h}=\frac{q{\phi}_{2}}{{\phi}_{1}}+\frac{l}{2{f}_{1}}.$$
(6)
$${y}_{2,k,q}=q{\phi}_{2}\left(1+\frac{g}{l}\right)-\frac{k{\phi}_{1}g}{l},\phantom{\rule{.9em}{0ex}}({k}_{l}\le k\le {k}_{h})$$
(7)
$$g=\frac{l{f}_{2}}{l-{f}_{2}}.$$
(8)
$${\psi}_{2}=2{\mathrm{tan}}^{-1}\left(\frac{{\phi}_{2}}{2g}\right).$$