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Computer-generated Fresnel hologram (Fresnel CGH) for three dimensional object can be made by two-dimensional Fourier transforms of each images sampled at a direction of depth1). However, the computing time is proportional to the sampling number on depth. Therefore, only the object with finite information on depth can be recorded by this method. The Fresnel CGH for three dimensional object composed of several planar segments was also reported2).
Kunihiko Mori
"Computer-generated Fresnel hologram for three dimensional object", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27787Q (1 September 1996); https://doi.org/10.1117/12.2299161
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Kunihiko Mori, "Computer-generated Fresnel hologram for three dimensional object," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27787Q (1 September 1996); https://doi.org/10.1117/12.2299161