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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. 30, Iss. 11 — Nov. 1, 2013
  • pp: 2225–2236

Least-squares phase estimation with wrapped measurements and branch points

Roberto Cristi and Travis W. Axtell  »View Author Affiliations


JOSA A, Vol. 30, Issue 11, pp. 2225-2236 (2013)
http://dx.doi.org/10.1364/JOSAA.30.002225


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Abstract

A nonorthogonal model for 2D signals with rotational components is presented, which enables estimation of phase values from observations of its local gradients. In this research, the rotational components are caused by the presence of branch points, which indicates phase wrapping. Using the proposed model, the phase is estimated using standard least-squares or recently proposed wavelet techniques by processing a linear combination of the wrapped observed gradients and the curl generated by phase wrapping.

OCIS Codes
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7060) Atmospheric and oceanic optics : Turbulence
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(280.6730) Remote sensing and sensors : Synthetic aperture radar
(100.5088) Image processing : Phase unwrapping

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: May 1, 2013
Revised Manuscript: September 6, 2013
Manuscript Accepted: September 8, 2013
Published: October 7, 2013

Citation
Roberto Cristi and Travis W. Axtell, "Least-squares phase estimation with wrapped measurements and branch points," J. Opt. Soc. Am. A 30, 2225-2236 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-11-2225


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