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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 29 — Oct. 10, 2008
  • pp: 5358–5369

Absolute phase estimation: adaptive local denoising and global unwrapping

Jose Bioucas-Dias, Vladimir Katkovnik, Jaakko Astola, and Karen Egiazarian  »View Author Affiliations


Applied Optics, Vol. 47, Issue 29, pp. 5358-5369 (2008)
http://dx.doi.org/10.1364/AO.47.005358


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Abstract

The paper attacks absolute phase estimation with a two-step approach: the first step applies an adaptive local denoising scheme to the modulo- 2 π noisy phase; the second step applies a robust phase unwrapping algorithm to the denoised modulo- 2 π phase obtained in the first step. The adaptive local modulo- 2 π phase denoising is a new algorithm based on local polynomial approximations. The zero-order and the first-order approximations of the phase are calculated in sliding windows of varying size. The zero-order approximation is used for pointwise adaptive window size selection, whereas the first-order approximation is used to filter the phase in the obtained windows. For phase unwrapping, we apply the recently introduced robust (in the sense of discontinuity preserving) PUMA unwrapping algorithm [ IEEE Trans. Image Process. 16, 698 (2007)] to the denoised wrapped phase. Simulations give evidence that the proposed algorithm yields state-of-the-art performance, enabling strong noise attenuation while preserving image details.

© 2008 Optical Society of America

OCIS Codes
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(110.5086) Imaging systems : Phase unwrapping
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

History
Original Manuscript: June 13, 2008
Revised Manuscript: August 4, 2008
Manuscript Accepted: August 6, 2008
Published: October 7, 2008

Citation
Jose Bioucas-Dias, Vladimir Katkovnik, Jaakko Astola, and Karen Egiazarian, "Absolute phase estimation: adaptive local denoising and global unwrapping," Appl. Opt. 47, 5358-5369 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-29-5358

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