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 -function array of 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 th power of that generated with the single diffraction grating. In addition, optical experiments show that the number of PIs for the case of has been increased up to the second power of that for the case of , which may validate the theoretical analysis and confirm its feasibility in the practical application.
© 2013 Optical Society of America
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