Improved unwrapped phase retrieval method of a fringe projection profilometry system based on fewer phase-coding patterns.

In this paper, based on two additional phase-coding patterns, an improved phase demodulation method is proposed. First, six equally spaced coding phases in the interval [$ - \pi $-π, $\pi $π] are embedded in different periods of the coded fringes following a certain sequence. Subsequently, since a group of phase orders can be uniquely determined by the four adjacent coding phases, the phase-order map of the object can be generated. To ensure the accuracy of decoding results, the interference coding numbers should be corrected in advance. In the meantime, the connected regions exhibiting the same orders are classified and then labeled for simplifying the decoding process. The simulation results verify the feasibility of the proposed method. By two groups of 3D imaging experiments, the applicability of this method to multiple objects and discontinuous objects is confirmed.

[1]  Xianyu Su,et al.  Reliability-guided phase unwrapping algorithm: a review ☆ , 2004 .

[2]  Yi Ding,et al.  Recovering the absolute phase maps of two fringe patterns with selected frequencies. , 2011, Optics letters.

[3]  Chenggen Quan,et al.  A modified phase-coding method for absolute phase retrieval , 2016 .

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

[5]  Hui Zhao,et al.  A Flexible Fringe Projection Vision System with Extended Mathematical Model for Accurate Three-Dimensional Measurement , 2016, Sensors.

[6]  James C. Wyant Two-Dimensional Phase Unwrapping-Theory, Algorithms, and Software, by Dennis C. Ghiglia and Mark D. Pritt , 2000 .

[7]  Qi Hao,et al.  Dual-frequency pattern scheme for high-speed 3-D shape measurement. , 2010, Optics express.

[8]  Rong Mo,et al.  Invalid phase values removal method for absolute phase recovery. , 2016, Applied optics.

[9]  J M Huntley,et al.  Temporal phase unwrapping: application to surface profiling of discontinuous objects. , 1997, Applied optics.

[10]  Lei Jia,et al.  Flexible calibration method of an FPP system based on a geometrical model and NLSM with fewer parameters. , 2018, Applied optics.

[11]  Xiang Peng,et al.  Phase-3D mapping method developed from back-projection stereovision model for fringe projection profilometry. , 2017, Optics express.

[12]  Dongliang Zheng,et al.  Phase coding method for absolute phase retrieval with a large number of codewords. , 2012, Optics express.

[13]  Konstantinos Falaggis,et al.  Absolute phase recovery in structured light illumination systems: Sinusoidal vs. intensity discrete patterns , 2016 .

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

[15]  Dongliang Zheng,et al.  Phase-shifting profilometry combined with Gray-code patterns projection: unwrapping error removal by an adaptive median filter. , 2017, Optics express.

[16]  Lulu Li,et al.  Improved phase-coding methods with fewer patterns for 3D shape measurement , 2017 .

[17]  Jeffrey L. Posdamer,et al.  Surface measurement by space-encoded projected beam systems , 1982, Comput. Graph. Image Process..

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

[19]  Dongliang Zheng,et al.  Self-correction phase unwrapping method based on Gray-code light , 2012 .

[20]  Y R Huddart,et al.  Absolute phase measurement in fringe projection using multiple perspectives. , 2013, Optics express.

[21]  George Rodriguez,et al.  Breaking Metals with Ultrafast Optical Excitation , 2000 .

[22]  Konstantinos Falaggis,et al.  Error correcting coding-theory for structured light illumination systems , 2017 .

[23]  G. Sansoni,et al.  Three-dimensional imaging based on Gray-code light projection: characterization of the measuring algorithm and development of a measuring system for industrial applications. , 1997, Applied optics.

[24]  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.

[25]  Jiangtao Xi,et al.  Application of global phase filtering method in multi frequency measurement. , 2014, Optics express.

[26]  Xiaoyang Yu,et al.  Unequal-period combination approach of gray code and phase-shifting for 3-D visual measurement , 2016 .

[27]  Lam Quang Bui,et al.  Boundary Inheritance Codec for high-accuracy structured light three-dimensional reconstruction with comparative performance evaluation. , 2013, Applied optics.