Improvement of reconstruction in 3D computer-generated holograms using 1D Fourier transform operations

Abstract Improvement of images reconstructed from 3D computer-generated holograms using 1D Fourier transform operations is presented. Required computing time for making 3D holograms is decreased when 1D Fourier transform method is used instead of 2D Fourier transform method, but reconstructed images from the holograms created by the 1D Fourier transform method are somewhat inferior in quality to the images by 2D Fourier transform method. In this paper, we propose a method that the disadvantageous properties of the holograms made by 1D Fourier transform are improved. We have performed two step improvements in this experiment. From the numerical experiments, the images that are reconstructed from the holograms created from 1D Fourier transform method show marked improvement.

[1]  James R. Fienup,et al.  Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint , 1987 .

[2]  O K Ersoy,et al.  Iterative interlacing error diffusion for synthesis of computer-generated holograms. , 1993, Applied optics.

[3]  Frank Wyrowski,et al.  Digital halftoning by iterative procedure , 1989 .

[4]  R A Gabel,et al.  Minimization of reconstruction errors with computer generated binary holograms. , 1970, Applied optics.

[5]  James R. Fienup,et al.  Phase-retrieval stagnation problems and solutions , 1986 .

[7]  Jan P. Allebach,et al.  Iterative Approaches To Computer-Generated Holography , 1989 .

[8]  Etienne Barnard,et al.  Optimal error diffusion for computer-generated holograms , 1988 .

[9]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[10]  Kenji Nagashima 3D computer-generated holograms using 1D Fourier transform operations , 1998 .

[11]  R Eschbach,et al.  Comparison of error diffusion methods for computer-generated holograms. , 1991, Applied optics.

[12]  O. Bryngdahl,et al.  Iterative Fourier-transform algorithm applied to computer holography , 1988 .

[13]  F. Wyrowski Iterative quantization of digital amplitude holograms. , 1989, Applied optics.

[14]  H Akahori,et al.  Spectrum leveling by an iterative algorithm with a dummy area for synthesizing the kinoform. , 1986, Applied optics.

[15]  Kenji Nagashima Reconstruction of holograms generated by using a combination of an iterative method and an error diffusion method , 1993 .

[16]  Frank Wyrowski,et al.  Digital phase holograms: Coding and quantization with an error diffusion concept , 1989 .

[17]  Kenji Nagashima Enhancement of images obtained from reconstruction of three‐dimensional computer‐generated holograms , 1996 .

[18]  N. C. Gallagher,et al.  Method for Computing Kinoforms that Reduces Image Reconstruction Error. , 1973, Applied optics.

[19]  J Y Zhuang,et al.  Iterative interlacing approach for synthesis of computer-generated holograms. , 1992, Applied optics.

[20]  James R. Fienup,et al.  Iterative Method Applied To Image Reconstruction And To Computer-Generated Holograms , 1980 .

[21]  R Eschbach,et al.  Complex-valued error diffusion for off-axis computer-generated holograms. , 1993, Applied optics.

[22]  O. Bryngdahl,et al.  Computer-generated holograms with pulse-density modulation , 1984 .