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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 13, Iss. 12 — Dec. 1, 1996
  • pp: 2355–2366

Robust phase-unwrapping techniques: a comparison

Gianfranco Fornaro, Giorgio Franceschetti, Riccardo Lanari, and Eugenio Sansosti  »View Author Affiliations

JOSA A, Vol. 13, Issue 12, pp. 2355-2366 (1996)

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In this paper we demonstrate the theoretical equivalence of two robust techniques for two-dimensional phase unwrapping. The first is based on the least-squares (LS) approach, and the second is based on Green’s formulation. To be theoretically comparable with Green’s method, the LS phase unwrapping is formulated in the continuous domain, leading to the minimization of a specific functional. Subsequently, we investigate the computational requirements of the procedures implementing the two methods. To do this, we have modified the first Green’s identity-based algorithm to account for periodic phase patterns. This reformulation allows us to compare the existing efficient LS procedures and leads to a procedure whose memory and computational requirements are less stringent than those presented in Fornaro et al. [ IEEE Trans. Geosci. Remote Sens. 34, 720 ( 1996)].

© 1996 Optical Society of America

Original Manuscript: March 25, 1996
Revised Manuscript: July 2, 1996
Manuscript Accepted: August 2, 1996
Published: December 1, 1996

Gianfranco Fornaro, Giorgio Franceschetti, Riccardo Lanari, and Eugenio Sansosti, "Robust phase-unwrapping techniques: a comparison," J. Opt. Soc. Am. A 13, 2355-2366 (1996)

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