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Proceedings Paper

Comparison of reconstruction algorithms in lens-less Fourier transform digital holography
Author(s): Jie Zhao; Dayong Wang; Jianjun Xie; Huaying Wang
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Paper Abstract

The different reconstruction algorithms are investigated and the reconstructed images are presented in lensless Fourier transform digital holography. The most employed three algorithms, all based on the fast-Fourier-transform, are: the convolution algorithm, the angular spectrum algorithm, and the Fresnel algorithm. With the convolution algorithm and angular spectrum algorithm, there is an optimal reconstruction distance where the pass-band range of the transfer function is the largest. Then the whole reconstructed image with the highest resolution can be acquired. When the distance is different from the optimal distance, the size of the reconstructed image may vary with the distance and may disappear from the field of view in some cases. In order to obtain the whole image, two methods are proposed. However, at this time the resolution of the reconstructed image becomes lower. When the distance is smaller than the optimal distance, the whole image can be obtained, but the resolution of the image also decreases. The Fresnel algorithm is performed by using a single fast-Fourier-transform. With Fresnel algorithm, the same reconstructed images can be obtained with the different reconstruction distances and the reconstruction is better than with the convolution algorithm and the angular spectrum algorithm.

Paper Details

Date Published: 4 January 2008
PDF: 11 pages
Proc. SPIE 6832, Holography and Diffractive Optics III, 683208 (4 January 2008); doi: 10.1117/12.757090
Show Author Affiliations
Jie Zhao, Beijing Univ. of Technology (China)
Dayong Wang, Beijing Univ. of Technology (China)
Jianjun Xie, Beijing Univ. of Technology (China)
Huaying Wang, Beijing Univ. of Technology (China)
Hebei Univ. of Engineering (China)

Published in SPIE Proceedings Vol. 6832:
Holography and Diffractive Optics III
Yunlong Sheng; Dahsiung Hsu; Chongxiu Yu, Editor(s)

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