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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 21, Iss. 12 — Dec. 1, 2004
  • pp: 2424–2430

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

Michael Liebling and Michael Unser  »View Author Affiliations

JOSA A, Vol. 21, Issue 12, pp. 2424-2430 (2004)

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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.

© 2004 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.1000) Holography : Aberration compensation
(100.3010) Image processing : Image reconstruction techniques
(100.7410) Image processing : Wavelets
(110.3000) Imaging systems : Image quality assessment

Original Manuscript: January 23, 2004
Revised Manuscript: June 7, 2004
Manuscript Accepted: June 7, 2004
Published: December 1, 2004

Michael Liebling and Michael Unser, "Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion," J. Opt. Soc. Am. A 21, 2424-2430 (2004)

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