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Published December 2004 | Published
Journal Article Open

Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion

Abstract

We propose a robust autofocus method for reconstructing digital Fresnel holograms. The numerical reconstruction involves simulating the propagation of a complex wave front to the appropriate distance. Since the latter value is difficult to determine manually, it is desirable to rely on an automatic procedure for finding the optimal distance to achieve high-quality reconstructions. Our algorithm maximizes a sharpness metric related to the sparsity of the signal's expansion in distance-dependent waveletlike Fresnelet bases. We show results from simulations and experimental situations that confirm its applicability.

Additional Information

© 2004 Optical Society of America. Received January 23, 2004; revised manuscript received June 7, 2004; accepted July 19, 2004. The authors thank E. Cuche and Ch. Depeursinge, École Polytechnique Fédérale de Lausanne, Switzerland, for providing the experimental holograms. We acknowledge the support of the Swiss National Science Foundation (SNF). Part of this work was completed while M. Liebling was with the Biomedical Imaging Group, École Polytechnique Fédérale de Lausanne. He is currently supported by SNF fellowship PBEL2-104418.

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