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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 25 — Sep. 1, 2010
  • pp: 4735–4745

Phase unwrapping for noisy phase maps using rotational compensator with virtual singular points

Satoshi Tomioka, Samia Heshmat, Naoki Miyamoto, and Shusuke Nishiyama  »View Author Affiliations


Applied Optics, Vol. 49, Issue 25, pp. 4735-4745 (2010)
http://dx.doi.org/10.1364/AO.49.004735


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Abstract

In the process of phase unwrapping for an image obtained by an interferometer or in-line holography, noisy image data may pose difficulties. Traditional phase unwrapping algorithms used to estimate a two-dimensional phase distribution include much estimation error, due to the effect of singular points. This paper introduces an accurate phase-unwrapping algorithm based on three techniques: a rotational compensator, unconstrained singular point positioning, and virtual singular points. The new algorithm can confine the effect of singularities to the local region around each singular point. The phase- unwrapped result demonstrates that accuracy is improved, compared with past methods based on the least-squares approach.

© 2010 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(090.2880) Holography : Holographic interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(100.3175) Image processing : Interferometric imaging
(110.5086) Imaging systems : Phase unwrapping
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

History
Original Manuscript: March 17, 2010
Revised Manuscript: July 20, 2010
Manuscript Accepted: July 23, 2010
Published: August 26, 2010

Citation
Satoshi Tomioka, Samia Heshmat, Naoki Miyamoto, and Shusuke Nishiyama, "Phase unwrapping for noisy phase maps using rotational compensator with virtual singular points," Appl. Opt. 49, 4735-4745 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-25-4735

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