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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 38, Iss. 14 — Jul. 15, 2013
  • pp: 2509–2511

Reconstruction guarantees for compressive tomographic holography

Yair Rivenson, Adrian Stern, and Joseph Rosen  »View Author Affiliations


Optics Letters, Vol. 38, Issue 14, pp. 2509-2511 (2013)
http://dx.doi.org/10.1364/OL.38.002509


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Abstract

Three-dimensional (3D) object tomography from a two-dimensional recorded hologram is a process of high-dimensional data inference from undersampled data. As such, recently, techniques developed in the field of compressive sensing and sparse representation have been applied for this task. While many applications of compressive sensing for tomography from digital holograms have been demonstrated in the past few years, the fundamental limits involved have not yet been addressed. We formulate the guarantees for compressive sensing-based recovery of 3D objects and show their relation to the physical attributes of the recording setup.

© 2013 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.1830) Image processing : Deconvolution
(100.3190) Image processing : Inverse problems
(100.6890) Image processing : Three-dimensional image processing
(100.6950) Image processing : Tomographic image processing
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: May 13, 2013
Revised Manuscript: June 7, 2013
Manuscript Accepted: June 7, 2013
Published: July 10, 2013

Virtual Issues
Vol. 8, Iss. 8 Virtual Journal for Biomedical Optics

Citation
Yair Rivenson, Adrian Stern, and Joseph Rosen, "Reconstruction guarantees for compressive tomographic holography," Opt. Lett. 38, 2509-2511 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-14-2509

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