Improved Three-step Phase Shifting Profilometry Using Digital Fringe Pattern Projection

In this paper, an improved method for three-step phase shifting profilometry (PSP) is presented to eliminate the errors introduced by the second order harmonic when digital projection are used to generate fringe patterns. Firstly, the error caused by the second order harmonic is theoretically analyzed. Then based on the error analysis and principle of PSP, we propose a novel approach, called improved three-step phase shifting profilometry (I3PSP), to eliminate the influence of the second order harmonic. Finally, simulations are performed to verify the effectiveness of the proposed I3PSP, which demonstrate that the reconstruction accuracy of using three-step PSP has been significantly improved by the proposed I3PSP

[1]  Hong-Jun Su,et al.  Phase algorithm without the influence of carrier frequency , 1997 .

[2]  Jiang Yi,et al.  Modified Fourier transform profilometry for the measurement of 3-D steep shapes , 1997 .

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

[4]  Xianyu Su,et al.  Fourier transform profilometry:: a review , 2001 .

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

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

[7]  Andrew J. Moore,et al.  Phase demodulation in the space domain without a fringe carrier , 1995 .

[8]  M. Takeda,et al.  Fourier transform profilometry for the automatic measurement of 3-D object shapes. , 1983, Applied optics.

[9]  Lars Kinell.  Multichannel method for absolute shape measurement using projected fringes , 2004 .

[10]  K. Hibino,et al.  Phase shifting for nonsinusoidal waveforms with phase-shift errors , 1995 .

[11]  Fu-Pen Chiang,et al.  Double three-step phase-shifting algorithm. , 2002, Applied optics.

[12]  Manuel Servin,et al.  Profilometry for the measurement of 3-D object shapes based on regularized filters , 1999 .

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

[14]  J. G. Walker,et al.  Investigation of the Fourier-transform method of fringe pattern analysis , 1988 .

[15]  R. Rodríguez-Vera,et al.  Phase locked loop profilometry , 1994 .

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

[17]  Xianyu Su,et al.  Automated phase-measuring profilometry using defocused projection of a Ronchi grating , 1992 .

[18]  F. Berryman,et al.  A theoretical comparison of three fringe analysis methods for determining the three-dimensional shape of an object in the presence of noise , 2003 .

[19]  S. Toyooka,et al.  Automatic profilometry of 3-D diffuse objects by spatial phase detection. , 1986, Applied optics.

[20]  Wenjing Chen,et al.  Dynamic 3-D shape measurement method based on FTP , 2001 .