Fourier transform technique for phase unwrapping with minimized boundary effects

Mariano Rivera; Manuel Servin Guirado; Jose Luis Marroquin Zaleta

doi:10.1117/12.276336

17 July 1996 Fourier transform technique for phase unwrapping with minimized boundary effects

Mariano Rivera, Manuel Servin Guirado, Jose Luis Marroquin Zaleta

Proceedings Volume 2860, Laser Interferometry VIII: Techniques and Analysis; (1996) https://doi.org/10.1117/12.276336
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

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.

Citation Download Citation

Mariano Rivera, Manuel Servin Guirado, and Jose Luis Marroquin Zaleta "Fourier transform technique for phase unwrapping with minimized boundary effects", Proc. SPIE 2860, Laser Interferometry VIII: Techniques and Analysis, (17 July 1996); https://doi.org/10.1117/12.276336

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