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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 4 — Feb. 25, 2013
  • pp: 4424–4438

Estimation of Mueller matrices using non-local means filtering

Sylvain Faisan, Christian Heinrich, Giorgos Sfikas, and Jihad Zallat  »View Author Affiliations


Optics Express, Vol. 21, Issue 4, pp. 4424-4438 (2013)
http://dx.doi.org/10.1364/OE.21.004424


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Abstract

This article addresses the estimation of polarization signatures in the Mueller imaging framework by non-local means filtering. This is an extension of previous work dealing with Stokes signatures. The extension is not straightforward because of the gap in complexity between the Mueller framework and the Stokes framework. The estimation procedure relies on the Cholesky decomposition of the coherency matrix, thereby ensuring the physical admissibility of the estimate. We propose an original parameterization of the boundary of the set of Mueller matrices, which makes our approach possible. The proposed method is fully unsupervised. It allows noise removal and the preservation of edges. Applications to synthetic as well as real data are presented.

© 2013 OSA

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(120.5410) Instrumentation, measurement, and metrology : Polarimetry

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: November 2, 2012
Revised Manuscript: December 7, 2012
Manuscript Accepted: December 14, 2012
Published: February 13, 2013

Citation
Sylvain Faisan, Christian Heinrich, Giorgos Sfikas, and Jihad Zallat, "Estimation of Mueller matrices using non-local means filtering," Opt. Express 21, 4424-4438 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-4-4424


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References

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