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Proceedings Paper

Nonlinear Fresnelet approximation for interference term suppression in digital holography
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Paper Abstract

We present a zero-order and twin image elimination algorithm for digital Fresnel holograms that were acquired in an off-axis geometry. These interference terms arise when the digital hologram is reconstructed and corrupt the result. Our algorithm is based on the Fresnelet transform, a wavelet-like transform that uses basis functions tailor-made for digital holography. We show that in the Fresnelet domain, the coefficients associated to the interference terms are separated both spatially and with respect to the frequency bands. We propose a method to suppress them by selectively thresholding the Fresnelet coefficients. Unlike other methods that operate in the Fourier domain and affect the whole spacial domain, our method operates locally in both space and frequency, allowing for a more targeted processing.

Paper Details

Date Published: 13 November 2003
PDF: 7 pages
Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.505786
Show Author Affiliations
Michael Liebling, Ecole Polytechnique Federale de Lausanne (Switzerland)
Thierry Blu, Ecole Polytechnique Federale de Lausanne (Switzerland)
Michael A. Unser, Ecole Polytechnique Federale de Lausanne (Switzerland)

Published in SPIE Proceedings Vol. 5207:
Wavelets: Applications in Signal and Image Processing X
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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