Phase demodulation method from a single fringe pattern based on correlation with a polynomial form.

The method presented extracts the demodulated phase from only one fringe pattern. Locally, this method approaches the fringe pattern morphology with the help of a mathematical model. The degree of similarity between the mathematical model and the real fringe is estimated by minimizing a correlation function. To use an optimization process, we have chosen a polynomial form such as a mathematical model. However, the use of a polynomial form induces an identification procedure with the purpose of retrieving the demodulated phase. This method, polynomial modulated phase correlation, is tested on several examples. Its performance, in terms of speed and precision, is presented on very noised fringe patterns.

[1]  Valéry Valle,et al.  Phase demodulation from a single fringe pattern based on a correlation technique. , 2004, Applied optics.

[2]  Valéry Valle,et al.  Experimental determination and empirical representation of out-of-plane displacements in a cracked elastic plate loaded in mode I , 2000 .

[3]  J. Marroquín,et al.  Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique. , 1997, Applied optics.

[4]  Hugh Alan Bruck,et al.  Digital image correlation using Newton-Raphson method of partial differential correction , 1989 .

[5]  Manuel Servin,et al.  Regularized quadrature and phase tracking from a single closed-fringe interferogram. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Munther A Gdeisat,et al.  Fringe pattern demodulation with a two-dimensional digital phase-locked loop algorithm. , 2002, Applied optics.

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

[8]  M. Sutton,et al.  Systematic errors in digital image correlation due to undermatched subset shape functions , 2002 .

[9]  A. Lagarde,et al.  Photoelastic analysis of a three-dimensional specimen by optical slicing and digital image processing , 1997 .

[10]  Mark Reeves,et al.  Functional testing using rapid prototyped components and optical measurement , 1999 .

[11]  A. Lagarde,et al.  Three-dimensional shape reconstruction by phase-shifting shadow moire. , 1994, Applied optics.

[12]  José A. Gómez-Pedrero,et al.  Measurement of retardation in digital photoelasticity by load stepping using a sinusoidal least-squares fitting , 2004 .

[13]  Daniel Malacara,et al.  Noisy fringe pattern demodulation by an iterative phase locked loop , 1995 .

[14]  M. Sutton,et al.  Full-field speckle pattern image correlation with B-Spline deformation function , 2002 .

[16]  Cyril Breque,et al.  Calibration of a system of projection moiré for relief measuring: biomechanical applications , 2004 .

[17]  Fabrice Brémand.  A phase unwrapping technique for object relief determination , 1994 .

[18]  Yoshiharu Morimoto,et al.  Fringe pattern analysis by a phase-shifting method using Fourier transform , 1994 .

[19]  Eann A. Patterson,et al.  The use of phase-stepping for the measurement of characteristic parameters in integrated photoelasticity , 2002 .

[20]  W. Van Paepegem,et al.  Application of digital phase-shift shadow Moiré to micro deformation measurements of curved surfaces , 2001 .