Generic exponential fringe model for alleviating phase error in phase measuring profilometry

Abstract Phase measuring profilometry (PMP) is susceptible to phase error caused by gamma distortion that leads to the captured fringe patterns deviating from ideal sinusoidal waveforms. Existing phase-error compensation methods are generally complex and require significant computational resources for implementation. This paper proposes a generic exponential fringe model expressed as an exponential function of the generated fringe patterns. Based on this model, a straightforward gamma correction method is presented to alleviate phase error without the need for any estimation of nonlinear coefficients or complex calibration. Experimental results demonstrate that the proposed method improves the quality of measurements by suppressing phase error.

[1]  Zhongwei Li,et al.  Gamma-distorted fringe image modeling and accurate gamma correction for fast phase measuring profilometry. , 2011, Optics letters.

[2]  Biao Li,et al.  Complex surface three-dimensional shape measurement method based on defocused Gray code plus phase-shifting , 2016 .

[3]  Xiang Peng,et al.  Flexible phase error compensation based on Hilbert transform in phase shifting profilometry. , 2015, Optics express.

[4]  Jiangtao Xi,et al.  Phase error correction based on Inverse Function Shift Estimation in Phase Shifting Profilometry using a digital video projector , 2010, SPIE/COS Photonics Asia.

[5]  Shaoli Liu,et al.  An absolute phase technique for 3D profile measurement using four-step structured light pattern , 2012 .

[6]  Song Zhang,et al.  Flexible 3-D shape measurement using projector defocusing. , 2009, Optics letters.

[7]  Zhaoyang Wang,et al.  Generic gamma correction for accuracy enhancement in fringe-projection profilometry. , 2010, Optics letters.

[8]  Fu-Pen Chiang,et al.  High-speed 3-D shape measurement based on digital fringe projection , 2003 .

[9]  D. Lau,et al.  Gamma model and its analysis for phase measuring profilometry. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

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

[11]  Song Zhang,et al.  Phase error compensation for three-dimensional shape measurement with projector defocusing. , 2011, Applied optics.

[12]  Anand Asundi,et al.  Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry. , 2009, Optics letters.

[14]  Song Zhang,et al.  Optimal pulse width modulation for sinusoidal fringe generation with projector defocusing. , 2010, Optics letters.

[15]  Dung A. Nguyen,et al.  Some practical considerations in fringe projection profilometry , 2010 .

[16]  Dongliang Zheng,et al.  Absolute phase retrieval for defocused fringe projection three-dimensional measurement , 2014 .

[17]  Zonghua Zhang,et al.  Time efficient color fringe projection system for 3D shape and color using optimum 3-frequency Selection. , 2006, Optics express.

[18]  Wei Zhang,et al.  Defocusing rectified multi-frequency patterns for high-precision 3D measurement , 2014 .

[19]  Lei Huang,et al.  Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review , 2016 .

[20]  Hao Jiang,et al.  Phase error compensation methods for high-accuracy profile measurement , 2016 .

[21]  Dawei Tu,et al.  Generic nonsinusoidal fringe model and gamma calibration in phase measuring profilometry. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  Tong Guo,et al.  Simple, flexible calibration of phase calculation-based three-dimensional imaging system. , 2011, Optics letters.