(Optics and Laser Technology, 34(6):457-464)Phase unwrapping based on a parallel noise-immune algorithm

A newly developed path-independent phase unwrapping algorithm, which is simple and concise, is presented. The algorithm is based on a parallel elimination of local phase jumps and the subsequent shifts of them, through iterations, to the boundary or to cancel with others in the midway. The number of iterations never exceeds the sum of the width and height of the processed map, whereas for cellular automata algorithm, a multiplier of the cycle of iterations by the proposed algorithm herein is easily needed for successful treatment of a same map. The proposed noise-immune algorithm is applied to a phase map of electronic speckle pattern interferometry (without any filtering work) to prove its effectiveness.

[1]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[2]  J. McKelvie,et al.  Reference phase shift determination in phase shifting interferometry , 1995 .

[3]  R Seara,et al.  Filtering algorithm for noise reduction in phase-map images with 2pi phase jumps. , 1998, Applied optics.

[4]  J. M. Huntley Noise-immune phase unwrapping algorithm. , 1989, Applied optics.

[5]  Cheng-Chi Chen,et al.  The Tapestry Cellular Automata phase unwrapping algorithm for interferogram analysis , 1998 .

[6]  Boxiong Wang,et al.  Phase unwrapping by blocks , 1999 .

[7]  P. Ronney,et al.  Modified Fourier transform method for interferogram fringe pattern analysis. , 1997, Applied optics.

[8]  Jeffrey J. Gierloff Phase Unwrapping By Regions , 1987, Optics & Photonics.

[9]  K. Creath Step height measurement using two-wavelength phase-shifting interferometry. , 1987, Applied optics.

[10]  K. Creath Phase-Shifting Speckle Interferometry , 1985, Optics & Photonics.

[11]  Soyoung S. Cha,et al.  Removal of carrier frequency in phase-shifting techniques , 1998 .

[12]  F Roddier,et al.  Interferogram analysis using Fourier transform techniques. , 1987, Applied optics.

[13]  Toshiyuki Yamada,et al.  Phase unwrapping by regions using least-squares approach , 1998 .

[14]  E Bernabeu,et al.  Stable-marriages algorithm for preprocessing phase maps with discontinuity sources. , 1995, Applied optics.

[15]  M. J. Huang,et al.  Correlation speckle interferometry for displacement measurement in CRT-panels , 2001 .

[16]  W. Macy,et al.  Two-dimensional fringe-pattern analysis. , 1983, Applied optics.

[17]  M. J. Huang,et al.  An automated self-marking phase-shifting system for measuring the full field phase distribution of interference fringe patterns , 2000 .

[18]  Louis A. Romero,et al.  A Cellular Automata Method for Phase Unwrapping , 1986, Topical Meeting On Signal Recovery and Synthesis II.

[19]  C K Hong,et al.  Least-squares fitting of the phase map obtained in phase-shifting electronic speckle pattern interferometry. , 1995, Optics letters.

[20]  Y Ichioka,et al.  Direct phase detecting system. , 1972, Applied optics.

[21]  Luca Pezzati,et al.  Phase-shifting speckle interferometry: a noise reduction filter for phase unwrapping , 1997 .

[22]  M. J. Huang,et al.  Phase unwrapping through region-referenced algorithm and window-patching method , 2002 .

[23]  B Gutmann,et al.  Phase unwrapping with the branch-cut method: role of phase-field direction. , 2000, Applied optics.

[24]  T. Yatagai,et al.  Generalized phase-shifting interferometry , 1991 .

[25]  Stephan Waldner,et al.  A simple and effective method for filtering speckle-interferometric phase fringe patterns , 1999 .

[26]  G. Nico,et al.  Noise-residue filtering of interferometric phase images. , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.