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Applied Optics

Applied Optics


  • Vol. 37, Iss. 20 — Jul. 10, 1998
  • pp: 4468–4476

Robust phase-unwrapping algorithm with a spatial binary-tree image decomposition

Russell C. Hardie, Md. Iqbal Younus, and James Blackshire  »View Author Affiliations

Applied Optics, Vol. 37, Issue 20, pp. 4468-4476 (1998)

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The search for fast and robust phase-unwrapping algorithms remains an important problem in the development of real-time interferometric systems. Our phase-unwrapping approach uses a spatial binary-tree image decomposition to permit maximum parallelism in implementation. At each node in the tree structure, a single unwrapping decision is made between two image blocks. The unwrapping rule is derived from a statistical-estimation framework. Specifically, a maximum-likelihood estimate of the demodulation term is used. This term can be viewed as that which minimizes a discontinuity-penalizing cost function. We show that the algorithm exhibits a high level of robustness. Quantitative measures of performance are provided, and many phase maps are shown for subjective evaluation.

© 1998 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.2650) Image processing : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

Original Manuscript: January 13, 1998
Revised Manuscript: April 15, 1998
Published: July 10, 1998

Russell C. Hardie, Md. Iqbal Younus, and James Blackshire, "Robust phase-unwrapping algorithm with a spatial binary-tree image decomposition," Appl. Opt. 37, 4468-4476 (1998)

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