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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 7 — Jul. 1, 2010
  • pp: 1630–1637

Edge-preserving sectional image reconstruction in optical scanning holography

Xin Zhang and Edmund Y. Lam  »View Author Affiliations


JOSA A, Vol. 27, Issue 7, pp. 1630-1637 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001630


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Abstract

Optical scanning holography (OSH) enables us to capture the three-dimensional information of an object, and a post-processing step known as sectional image reconstruction allows us to view its two-dimensional cross-section. Previous methods often produce reconstructed images that have blurry edges. In this paper, we argue that the hologram’s two-dimensional Fourier transform maps into a semi-spherical surface in the three-dimensional frequency domain of the object, a relationship akin to the Fourier diffraction theorem used in diffraction tomography. Thus, the sectional image reconstruction task is an ill-posed inverse problem, and here we make use of the total variation regularization with a nonnegative constraint and solve it with a gradient projection algorithm. Both simulated and experimental holograms are used to verify that edge-preserving reconstruction is achieved, and the axial distance between sections is reduced compared with previous regularization methods.

© 2010 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(180.6900) Microscopy : Three-dimensional microscopy
(110.1758) Imaging systems : Computational imaging
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: March 25, 2010
Revised Manuscript: May 19, 2010
Manuscript Accepted: May 21, 2010
Published: June 16, 2010

Virtual Issues
Vol. 5, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Xin Zhang and Edmund Y. Lam, "Edge-preserving sectional image reconstruction in optical scanning holography," J. Opt. Soc. Am. A 27, 1630-1637 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-7-1630

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