Color fringe projection profilometry using geometric constraints

Abstract A recently proposed phase unwrapping method using geometric constraints performs well without requiring additional camera, more patterns or global search. The major limitation of this technique is the confined measurement depth range (MDR) within 2π in phase domain. To enlarge the MDR, this paper proposes using color fringes for three-dimensional (3D) shape measurement. Each six fringe periods encoded with six different colors are treated as one group. The local order within one group can be identified with reference to the color distribution. Then the phase wrapped period-by-period is converted into the phase wrapped group-by-group. The geometric constraints of the fringe projection system are used to determine the group order. Such that the MDR is extended from 2π to 12π by six times. Experiment results demonstrate the success of the proposed method to measure two isolated objects with large MDR.

[1]  Sam Van der Jeught,et al.  Real-time structured light profilometry: a review , 2016 .

[2]  Manuel Servin,et al.  Fringe Pattern Analysis for Optical Metrology: Theory, Algorithms, and Applications , 2014 .

[3]  Manuel Servin,et al.  2D simultaneous phase unwrapping and filtering: A review and comparison , 2012 .

[4]  Armando Albertazzi,et al.  Regular mesh measurement of large free form surfaces using stereo vision and fringe projection , 2012 .

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

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

[7]  Yajun Wang,et al.  Novel phase-coding method for absolute phase retrieval. , 2012, Optics letters.

[8]  J Vargas,et al.  Phase-shifting interferometry based on principal component analysis. , 2011, Optics letters.

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

[10]  Manuel Servin,et al.  Fourier analysis of RGB fringe-projection profilometry and robust phase-demodulation methods against crosstalk distortion. , 2016, Optics express.

[11]  G Sansoni,et al.  Three-dimensional vision based on a combination of gray-code and phase-shift light projection: analysis and compensation of the systematic errors. , 1999, Applied optics.

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

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

[14]  Beiwen Li,et al.  Motion-induced error reduction by combining Fourier transform profilometry with phase-shifting profilometry. , 2016, Optics express.

[15]  Song Zhang,et al.  Superfast 3D absolute shape measurement using five binary patterns , 2017 .

[16]  Peisen S. Huang,et al.  Fast three-step phase-shifting algorithm , 2006 .

[17]  J. Wyant,et al.  Multiple-wavelength phase-shifting interferometry. , 1985, Applied optics.

[18]  Serhat Özder,et al.  Continuous wavelet transform analysis of projected fringe patterns , 2004 .

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

[20]  Yuwei Wang,et al.  Accurate feature detection for out-of-focus camera calibration. , 2016, Applied optics.

[21]  Feifei Gu,et al.  Phase unwrapping algorithm based on multi-frequency fringe projection and fringe background for fringe projection profilometry , 2015 .

[22]  Qian Chen,et al.  Real-time 3-D shape measurement with composite phase-shifting fringes and multi-view system. , 2016, Optics express.

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

[24]  Qican Zhang,et al.  3-D shape measurement based on complementary Gray-code light , 2012 .

[25]  Xiaohui Zhou,et al.  Multiview phase shifting: a full-resolution and high-speed 3D measurement framework for arbitrary shape dynamic objects. , 2013, Optics letters.

[26]  Shijie Feng,et al.  General solution for high dynamic range three-dimensional shape measurement using the fringe projection technique , 2014 .

[27]  Yajun Wang,et al.  Modified Fourier transform method for 3D profile measurement without phase unwrapping. , 2010, Optics letters.

[28]  Feng Chen,et al.  Phase-unwrapping algorithm for the measurement of 3D object , 2012 .

[29]  Wei-Hung Su,et al.  Color-encoded fringe projection for 3D shape measurements. , 2007, Optics express.

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

[31]  Beiwen Li,et al.  Single-shot absolute 3D shape measurement with Fourier transform profilometry. , 2016, Applied optics.

[32]  Xu Zheng,et al.  An on-line phase measuring profilometry: Processed modulation using for pixel matching , 2013 .

[33]  Jae-Sang Hyun,et al.  Enhanced two-frequency phase-shifting method. , 2016, Applied optics.

[34]  Yajun Wang,et al.  Quantized phase coding and connected region labeling for absolute phase retrieval. , 2016, Optics express.

[35]  Javier Vargas,et al.  Generalization of the Principal Component Analysis algorithm for interferometry , 2013 .

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

[37]  K. Creath Step height measurement using two-wavelength phase-shifting interferometry. , 1987, Applied optics.

[38]  Qican Zhang,et al.  Dynamic 3-D shape measurement method: A review , 2010 .

[39]  Jae-Sang Hyun,et al.  Pixel-wise absolute phase unwrapping using geometric constraints of structured light system. , 2016, Optics express.

[40]  Manuel Servin,et al.  Temporal phase-unwrapping of static surfaces with 2-sensitivity fringe-patterns. , 2015, Optics express.