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Proceedings Paper

Fourier transform technique for phase unwrapping with minimized boundary effects
Author(s): Mariano Rivera; Manuel Servin Guirado; Jose Luis Marroquin Zaleta
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Paper Abstract

It is proposed a quadratic cost functional for calculating a consistent gradient field from an inconsistent one. This inconsistent gradient in obtained by wrapping the first difference ofthe wrapped phase. The derivation ofthe respective Euler equations of the proposed functional is presented. A discrete Fourier transfonn based technique for solving the Euler equations is shown. The calculated unwrapped phase may then be calculated by integrating the consistent gradient with any integration algorithm. This fast (transform) method has the following advantages over existing Fourier technique: their transfer functions are close to one and, the boundary errors are estimated and minimized. So that the global estimation error is reduced. Keywords: Phase miwrapping, Finite differences, Regularization.

Paper Details

Date Published: 17 July 1996
PDF: 7 pages
Proc. SPIE 2860, Laser Interferometry VIII: Techniques and Analysis, (17 July 1996); doi: 10.1117/12.276336
Show Author Affiliations
Mariano Rivera, Ctr. de Investigaciones en Optica, A.C. (Mexico)
Manuel Servin Guirado, Ctr. de Investigaciones en Optica, A.C. (Mexico)
Jose Luis Marroquin Zaleta, Ctr. de Investigaciones en Matematicas, A.C. (Mexico)


Published in SPIE Proceedings Vol. 2860:
Laser Interferometry VIII: Techniques and Analysis
Malgorzata Kujawinska; Ryszard J. Pryputniewicz; Mitsuo Takeda, Editor(s)

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