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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 21 — Jul. 20, 2007
  • pp: 4712–4727

Residue vector, an approach to branch-cut placement in phase unwrapping: theoretical study

Salah A. Karout, Munther A. Gdeisat, David R. Burton, and Michael J. Lalor  »View Author Affiliations

Applied Optics, Vol. 46, Issue 21, pp. 4712-4727 (2007)

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What we believe to be a novel technique of branch-cut placement in the phase unwrapping is proposed. This approach is based on what we named residue vector, which is generated by a residue in a wrapped phase map and has an orientation that points out toward the balancing residue of opposite polarity. The residue vector can be used to guide the manner in which branch cuts are placed in phase unwrapping. Also, residue vector can be used for the determination of the weighting values used in different existing phase unwrapping methods such as minimum cost flow and least squares. The theoretical foundations of the residue-vector method are presented, and a branch-cut method using its information is developed and implemented. A general comparison is made between the residue-vector map and other existing quality maps.

© 2007 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.3020) Image processing : Image reconstruction-restoration
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Image Processing

Original Manuscript: September 13, 2006
Revised Manuscript: December 22, 2006
Manuscript Accepted: February 27, 2007
Published: July 6, 2007

Salah A. Karout, Munther A. Gdeisat, David R. Burton, and Michael J. Lalor, "Residue vector, an approach to branch-cut placement in phase unwrapping: theoretical study," Appl. Opt. 46, 4712-4727 (2007)

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