11 January 2005 Point spread functions of digital reconstruction of digitally recorded holograms
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Abstract
Digital reconstruction of samples of the object wave front amplitude from samples of its hologram is addressed and is treated as a process of sampling the object wave front. Signal sampling is a linear transformation that is fully specified by its point spread function. Point spread functions of the hologram reconstruction algorithms are derived that explicitly show how the reconstruction results depend on the holographic setups and photographic camera physical parameters such as object-to-camera distance, radiation wave length, camera size, pitch, fill factor and alike. Three reconstruction algorithms are introduced and analyzed: a general algorithm and more commonly known Fourier and Convolution ones extended to enable reconstruction with arbitrary scale factor. For convolution algorithm, it is shown additionally that reconstruction results contain, in general, certain extra distortions as compared to general and Fourier reconstructions.
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Leonid P. Yaroslavsky, Leonid P. Yaroslavsky, Fucai Zhang, Fucai Zhang, Ichirou Yamaguchi, Ichirou Yamaguchi, } "Point spread functions of digital reconstruction of digitally recorded holograms", Proc. SPIE 5642, Information Optics and Photonics Technology, (11 January 2005); doi: 10.1117/12.579338; https://doi.org/10.1117/12.579338
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