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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 6 — Mar. 12, 2012
  • pp: 5942–5954

Solving inverse problems for optical scanning holography using an adaptively iterative shrinkage-thresholding algorithm

Fengjun Zhao, Xiaochao Qu, Xin Zhang, Ting-Chung Poon, Taegeun Kim, You Seok Kim, and Jimin Liang  »View Author Affiliations


Optics Express, Vol. 20, Issue 6, pp. 5942-5954 (2012)
http://dx.doi.org/10.1364/OE.20.005942


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Abstract

Optical scanning holography (OSH) records a three-dimensional object into a two-dimensional hologram through two-dimensional optical scanning. The recovery of sectional images from the hologram, termed as an inverse problem, has been previously implemented by conventional methods as well as the use of l 2 norm. However, conventional methods require time consuming processing of section by section without eliminating the defocus noise and the l 2 norm method often suffers from the drawback of over-smoothing. Moreover, these methods require the whole hologram data (real and imaginary parts) to eliminate the twin image noise, whose computation complexity and the sophisticated post-processing are far from desirable. To handle these difficulties, an adaptively iterative shrinkage-thresholding (AIST) algorithm, characterized by fast computation and adaptive iteration, is proposed in this paper. Using only a half hologram data, the proposed method obtained satisfied on-axis reconstruction free of twin image noise. The experiments of multi-planar reconstruction and improvement of depth of focus further validate the feasibility and flexibility of our proposed AIST algorithm.

© 2012 OSA

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(180.6900) Microscopy : Three-dimensional microscopy
(090.1995) Holography : Digital holography

ToC Category:
Image Processing

History
Original Manuscript: December 19, 2011
Revised Manuscript: February 14, 2012
Manuscript Accepted: February 20, 2012
Published: February 27, 2012

Virtual Issues
Vol. 7, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Fengjun Zhao, Xiaochao Qu, Xin Zhang, Ting-Chung Poon, Taegeun Kim, You Seok Kim, and Jimin Liang, "Solving inverse problems for optical scanning holography using an adaptively iterative shrinkage-thresholding algorithm," Opt. Express 20, 5942-5954 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-6-5942


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