Phase unwrapping algorithm based on fringe density analysis in Fourier transform profilometry

A new phase unwrapping algorithm based on fringe frequency analysis in Fourier Transform Profilometry (FTP) is presented. By the frequency weighted filtering, the analysis of fringe density is converted into the analysis of fringe modulation. And based on ordering this filtered fringe modulation, a more optimized phase unwrapping path can be found out. The consequent phase unwrapping path is always along the direction from an area in which local spatial frequency is less further from the fundamental frequency to one in which local spatial frequency is more further from the fundamental frequency. The experiment shows that the new phase unwrapping algorithm is reasonable and effective. Even in the worse case the error is limited, if there is any, to local minimum areas.

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

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

[3]  Xianyu Su,et al.  Complex object profilometry and its application for dentistry , 1994, Photonics West - Lasers and Applications in Science and Engineering.

[4]  X. Su,et al.  Phase-stepping grating profilometry: utilization of intensity modulation analysis in complex objects evaluation , 1993 .

[5]  Xianyu Su,et al.  Two-dimensional Fourier transform profilometry for the automatic measurement of three-dimensional object shapes , 1995 .

[6]  Xianyu Su,et al.  Automated phase-measuring profilometry using defocused projection of a Ronchi grating , 1992 .

[7]  Y Hao,et al.  Multifrequency grating projection profilometry based on the nonlinear excess fraction method. , 1999, Applied optics.

[8]  A Asundi,et al.  Fast phase-unwrapping algorithm based on a gray-scale mask and flood fill. , 1998, Applied optics.

[9]  Jie-Lin Li,et al.  Phase unwrapping algorithm based on reliability and edge detection , 1997 .

[10]  M. Takeda,et al.  Frequency-multiplex Fourier-transform profilometry: a single-shot three-dimensional shape measurement of objects with large height discontinuities and/or surface isolations. , 1997, Applied optics.

[11]  Jian Li,et al.  An Improved Fourier Transform Profilometry , 1989, Other Conferences.

[12]  X. Su,et al.  Improved Fourier transform profilometry for the automatic measurement of 3D object shapes , 1990 .

[13]  M. Takeda,et al.  Fourier transform profilometry for the automatic measurement of 3-D object shapes. , 1983, Applied optics.

[14]  V. Srinivasan,et al.  Automated phase-measuring profilometry of 3-D diffuse objects. , 1984, Applied optics.

[15]  Xianyu Su,et al.  Phase unwrapping techniques for 3D shape measurement , 1996, Other Conferences.

[16]  T. R. Judge,et al.  A review of phase unwrapping techniques in fringe analysis , 1994 .

[17]  G. von Bally,et al.  Modulation analysis of phase-shifted holographic interferograms , 1994 .