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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. 5 — May. 1, 2010
  • pp: 1185–1193

Joint estimation of Stokes images and aberrations from phase-diverse polarimetric measurements

John R. Valenzuela, Jeffrey A. Fessler, and Richard G. Paxman  »View Author Affiliations


JOSA A, Vol. 27, Issue 5, pp. 1185-1193 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001185


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Abstract

The technique of phase diversity has been used in traditional incoherent imaging systems to jointly estimate an object and optical system aberrations. This paper extends the technique of phase diversity to polarimetric imaging systems. Specifically, we describe penalized-likelihood methods for jointly estimating Stokes images and optical system aberrations from measurements that contain phase diversity. Jointly estimating Stokes images and optical system aberrations involves a large parameter space. A closed-form expression for the estimate of the Stokes images in terms of the aberration parameters is derived and used in a formulation that reduces the dimensionality of the search space to the number of aberration parameters only. We compare the performance of the joint estimator under both quadratic and edge-preserving regularization; we also compare the performance of the reduced parameter search strategy to the full parameter search strategy under quadratic regularization. The joint estimator with edge-preserving regularization yields higher fidelity polarization estimates than with quadratic regularization. With the reduced parameter search strategy, accurate aberration estimates can be obtained without recourse to regularization “tuning.”

© 2010 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems

ToC Category:
Image Processing

History
Original Manuscript: November 24, 2009
Revised Manuscript: March 22, 2010
Manuscript Accepted: March 23, 2010
Published: April 30, 2010

Citation
John R. Valenzuela, Jeffrey A. Fessler, and Richard G. Paxman, "Joint estimation of Stokes images and aberrations from phase-diverse polarimetric measurements," J. Opt. Soc. Am. A 27, 1185-1193 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-5-1185

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