Abstract

We propose an approach to generate as many parallax images (PIs) having different viewpoints of a 3-D object as required by use of multiple diffraction gratings (MDG) and confirm its feasibility through theoretical analysis and optical experiments. Here, the PIs generated from the MDG are derived as a convolution integral between the scaled object intensity and each $\delta$-function array of $m$ number of diffraction gratings based on wave-optics, which means the total number of PIs and viewpoints to be generated with the MDG may increase with the $m$th power of that generated with the single diffraction grating. In addition, optical experiments show that the number of PIs for the case of $m=2$ has been increased up to the second power of that for the case of $m=1$, which may validate the theoretical analysis and confirm its feasibility in the practical application.

© 2013 Optical Society of America

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