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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 5 — May. 1, 2004
  • pp: 737–750

Penalized-likelihood image reconstruction for digital holography

Saowapak Sotthivirat and Jeffrey A. Fessler  »View Author Affiliations


JOSA A, Vol. 21, Issue 5, pp. 737-750 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000737


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Abstract

Conventional numerical reconstruction for digital holography using a filter applied in the spatial-frequency domain to extract the primary image may yield suboptimal image quality because of the loss in high-frequency components and interference from other undesirable terms of a hologram. We propose a new numerical reconstruction approach using a statistical technique. This approach reconstructs the complex field of the object from the real-valued hologram intensity data. Because holographic image reconstruction is an ill-posed problem, our statistical technique is based on penalized-likelihood estimation. We develop a Poisson statistical model for this problem and derive an optimization transfer algorithm that monotonically decreases the cost function at each iteration. Simulation results show that our statistical technique has the potential to improve image quality in digital holography relative to conventional reconstruction techniques.

© 2004 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.1760) Holography : Computer holography
(100.0100) Image processing : Image processing
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems

History
Original Manuscript: March 10, 2003
Revised Manuscript: December 16, 2004
Manuscript Accepted: December 16, 2004
Published: May 1, 2004

Citation
Saowapak Sotthivirat and Jeffrey A. Fessler, "Penalized-likelihood image reconstruction for digital holography," J. Opt. Soc. Am. A 21, 737-750 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-5-737

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