Color-fringe pattern profilometry using a generalized phase-shifting algorithm.

In order to overcome the limitations of the sequential phase-shifting fringe pattern profilometry for dynamic measurements, a color-channel-based approach is presented. The proposed technique consists of projecting and acquiring a colored image formed by three sinusoidal phase-shifted patterns. Therefore, by using the conventional three-step phase-shifting algorithm, only one color image is required for phase retrieval each time. However, the use of colored fringe patterns leads to a major problem, the color crosstalk, which introduces phase errors when conventional phase-shifting algorithms with fixed phase-shift values are utilized to retrieve the phase. To overcome the crosstalk issue, we propose the use of a generalized phase-shifting algorithm with arbitrary phase-shift values. The simulations and experimental results show that the proposed algorithm can significantly reduce the influence of the color crosstalk.

[1]  Jason Geng,et al.  Structured-light 3D surface imaging: a tutorial , 2011 .

[2]  Fu-Pen Chiang,et al.  Color-encoded digital fringe projection technique for high-speed three-dimensional surface contouring , 1999 .

[3]  J. Kofman,et al.  Comparison of linear and nonlinear calibration methods for phase-measuring profilometry , 2007 .

[4]  Kenneth H. Womack,et al.  Interferometric Phase Measurement Using Spatial Synchronous Detection , 1983 .

[5]  Gastón A. Ayubi,et al.  Three-dimensional profiling with binary fringes using phase-shifting interferometry algorithms. , 2011, Applied optics.

[6]  Peisen S. Huang,et al.  Phase error compensation for a 3-D shape measurement system based on the phase-shifting method , 2007 .

[7]  Jiangtao Xi,et al.  Three-dimensional profilometry based on shift estimation of projected fringe patterns. , 2006, Applied optics.

[8]  Sang Wook Lee,et al.  Color-Phase Analysis for Sinusoidal Structured Light in Rapid Range Imaging , 2015, ArXiv.

[9]  Bongtae Han,et al.  Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms. , 2004, Optics letters.

[10]  Jun Ma,et al.  Phase extraction from optical interferograms in presence of intensity nonlinearity and arbitrary phase shifts , 2011 .

[11]  D. J. Brangaccio,et al.  Digital wavefront measuring interferometer for testing optical surfaces and lenses. , 1974, Applied optics.

[12]  Lei Chen,et al.  Carrier squeezing interferometry: suppressing phase errors from the inaccurate phase shift. , 2011, Optics letters.

[13]  Arturo Espinosa-Romero,et al.  GPU based real-time quadrature transform method for 3-D surface measurement and visualization. , 2011, Optics express.

[14]  Jiangtao Xi,et al.  Blind color isolation for color-channel-based fringe pattern profilometry using digital projection. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Song Zhang,et al.  Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. , 2007, Applied optics.

[16]  Ventseslav Sainov,et al.  3-D Time-Varying Scene Capture Technologies—A Survey , 2007, IEEE Transactions on Circuits and Systems for Video Technology.

[17]  L Z Cai,et al.  Simple direct extraction of unknown phase shift and wavefront reconstruction in generalized phase-shifting interferometry: algorithm and experiments. , 2008, Optics letters.

[18]  Rihong Zhu,et al.  Blind phase error suppression for color-encoded digital fringe projection profilometry , 2012 .

[19]  M. Servin,et al.  Isotropic n-dimensional fringe pattern normalization , 2003 .

[20]  Fu-Pen Chiang,et al.  Color phase-shifting technique for three-dimensional shape measurement , 2006 .

[21]  Song Zhang.  Recent progresses on real-time 3D shape measurement using digital fringe projection techniques , 2010 .

[22]  Haitao He,et al.  Gamma correction for digital fringe projection profilometry. , 2004, Applied optics.

[23]  Yingjie Yu,et al.  Least-squares calibration method for fringe projection profilometry , 2005 .

[24]  José A. Gómez-Pedrero,et al.  Algorithm for fringe pattern normalization , 2001 .

[25]  Mariano Rivera,et al.  Phase unwrapping by accumulation of residual maps , 2015 .

[26]  J Matías Di Martino,et al.  Generation of phase-shifting algorithms with N arbitrarily spaced phase-steps. , 2014, Applied optics.

[27]  Juan Antonio Quiroga Mellado,et al.  Algorithm for fringe pattern normalization , 2001 .

[28]  Gastón A. Ayubi,et al.  Color encoding of binary fringes for gamma correction in 3-D profiling. , 2012, Optics letters.

[29]  Chenggen Quan,et al.  Phase error correction for digital fringe projection profilometry , 2011 .

[30]  Marija Strojnik,et al.  Wrapping-free phase retrieval with applications to interferometry, 3D-shape profiling, and deflectometry. , 2015, Applied optics.

[31]  Cruz Meneses-Fabian,et al.  Surface contour from a low-frequency vibrating object using phase differences and the Fourier-transform method , 2007 .

[32]  J. A. Quiroga,et al.  Flexible calibration procedure for fringe projection profilometry , 2007 .