Clustering-driven residue filter for profile measurement system.

The profile measurement system is widely used in industrial quality control, and phase unwrapping (PU) is a key technique. An algorithm-driven PU is often used to reduce the impact of noise-induced residues to retrieve the most reliable solution. However, measuring speed is lowered due to the searching of optimal integration paths or correcting of phase gradients. From the viewpoint of the rapidity of the system, this paper characterizes the noise-induced residues, and it proposes a clustering-driven residue filter based on a set of directional windows. The proposed procedure makes the wrapped phases included in the filtering window have more similar values, and it groups the correct and noisy phases into individual clusters along the local fringe direction adaptively. It is effective for the tightly packed fringes, and it converts the algorithm-driven PU to the residue-filtering-driven one. This improves the operating speed of the 3D reconstruction significantly. The tests performed on simulated and real projected fringes confirm the validity of our approach.

[1]  Gianfranco Fornaro,et al.  Phase difference-based multichannel phase unwrapping , 2005, IEEE Transactions on Image Processing.

[2]  Antonio Baldi Phase unwrapping by region growing. , 2003, Applied optics.

[3]  Mario Costantini,et al.  A novel phase unwrapping method based on network programming , 1998, IEEE Trans. Geosci. Remote. Sens..

[4]  VARUN CHANDOLA,et al.  Anomaly detection: A survey , 2009, CSUR.

[5]  Mihai Datcu,et al.  Bayesian approaches to phase unwrapping: theoretical study , 2000, IEEE Trans. Signal Process..

[6]  Li An,et al.  A fast implementation of the minimum spanning tree method for phase unwrapping , 2000, IEEE Transactions on Medical Imaging.

[7]  José M. N. Leitão,et al.  Absolute phase image reconstruction: a stochastic nonlinear filtering approach , 1998, IEEE Trans. Image Process..

[8]  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.

[9]  Sai Siva Gorthi,et al.  Fringe projection techniques: Whither we are? , 2010 .

[10]  Zhi-Pei Liang,et al.  A model-based method for phase unwrapping , 1996, IEEE Trans. Medical Imaging.

[11]  Qian Kemao,et al.  Windowed Fourier-filtered and quality-guided phase-unwrapping algorithm. , 2008, Applied optics.

[12]  Louis A. Romero,et al.  Minimum Lp-norm two-dimensional phase unwrapping , 1996 .

[13]  Konstantinos Papathanassiou,et al.  A new technique for noise filtering of SAR interferometric phase images , 1998, IEEE Trans. Geosci. Remote. Sens..

[14]  Qian Kemao,et al.  Windowed Fourier transform for fringe pattern analysis: theoretical analyses. , 2008, Applied optics.

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

[16]  Felix Naumann,et al.  Data fusion , 2009, CSUR.

[17]  K Itoh,et al.  Analysis of the phase unwrapping algorithm. , 1982, Applied optics.

[18]  Zhaoyang Wang,et al.  Three-dimensional shape measurement with an arbitrarily arranged fringe projection profilometry system. , 2007, Optics letters.

[19]  Howard A. Zebker,et al.  Phase unwrapping algorithms for radar interferometry: residue-cut, least-squares, and synthesis algorithms , 1998 .

[20]  Munther A Gdeisat,et al.  Residue vector, an approach to branch-cut placement in phase unwrapping: theoretical study. , 2007, Applied optics.

[21]  Jun Cheng,et al.  Unsupervised-clustering-driven noise-residue filter for phase images. , 2010, Applied optics.

[22]  Robert S. Wilson,et al.  Prelaunch calibrations of the Clouds and the Earth's Radiant Energy System (CERES) Tropical Rainfall Measuring Mission and Earth Observing System morning (EOS-AM1) spacecraft thermistor bolometer sensors , 1998, IEEE Trans. Geosci. Remote. Sens..

[23]  Nico Adam,et al.  A class of solution-invariant transformations of cost functions for minimum cost flow phase unwrapping. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  Mumin Song,et al.  Overview of three-dimensional shape measurement using optical methods , 2000 .

[25]  Jun Cheng,et al.  Noise-Residue Filtering Based on Unsupervised Clustering for Phase Unwrapping , 2009, ISVC.