Accurate phase-shift estimation for fringe-pattern profilometry.

Fringe-pattern profilometry (FPP) has been widely used for phase reconstruction. It involves the use of phase shifting for phase retrieval. Phase-shift errors can affect the accuracy of phase reconstruction, and limited studies have been dedicated to studying phase-shift errors due to experimental, human, or environmental factors. We propose a simple and yet accurate phase-shift estimation method. Our study shows that the method is able to accurately estimate the actual phase shifts used in the FPP technique. The proposed method can find its applications in FPP and other phase shifting-based three-dimensional imaging techniques.

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

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

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

[4]  Peter de Groot,et al.  Derivation of algorithms for phase-shifting interferometry using the concept of a data-sampling window. , 1995, Applied optics.

[5]  Gunther Notni,et al.  Digital fringe projection in 3D shape measurement: an error analysis , 2003, SPIE Optical Metrology.

[6]  J. Xi,et al.  A new phase unwrapping algorithm based on Three Wavelength Phase Shift Profilometry method , 2013 .

[7]  Ricardo Legarda-Saenz,et al.  Color-fringe pattern profilometry using a generalized phase-shifting algorithm. , 2015, Applied optics.

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

[9]  Qun Hao,et al.  Random phase-shifting interferometry without accurately controlling or calibrating the phase shifts. , 2009, Optics letters.

[10]  T. Eiju,et al.  Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm. , 1987, Applied optics.

[11]  Anand Asundi,et al.  Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry , 2010 .

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

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

[14]  J Vargas,et al.  Analysis of the principal component algorithm in phase-shifting interferometry. , 2011, Optics letters.

[15]  Werner Jüptner,et al.  Accurate procedure for the calibration of a structured light system , 2004 .

[16]  Zhenzhou Wang,et al.  Robust measurement of the diffuse surface by phase shift profilometry , 2014 .

[17]  Zhengyou Zhang,et al.  Flexible camera calibration by viewing a plane from unknown orientations , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[18]  Rigoberto Juarez-Salazar,et al.  Generalized phase-shifting algorithm for inhomogeneous phase shift and spatio-temporal fringe visibility variation. , 2014, Optics express.

[19]  Liudong Xiong,et al.  Phase-error analysis and elimination for nonsinusoidal waveforms in Hilbert transform digital-fringe projection profilometry. , 2009, Optics letters.

[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]  Gleb Vdovin,et al.  Phase extraction from three and more interferograms registered with different unknown wavefront tilts. , 2005, Optics express.

[23]  Xiang Peng,et al.  Calibration of fringe projection profilometry with bundle adjustment strategy. , 2012, Optics letters.

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

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

[26]  Ichirou Yamaguchi,et al.  Phase-shifting digital holography , 1997 .

[27]  J. M. Huntley,et al.  Temporal phase-unwrapping algorithm for automated interferogram analysis. , 1993, Applied optics.