A carrier removal technique for Fourier transform profilometry based on principal component analysis

Abstract We present a carrier removal method for Fourier transform profilometry using the principal component analysis. The proposed approach is able to decompose the phase map into several principal components, in which the phase of the carrier can be extracted from the first dominant component acquired. It can cope well with the nonlinear carrier problem resulted from the divergent illumination which is commonly adopted in the fringe projection profilometry. It is effective, fully automatic and does not require the estimation for system geometrical parameters or the prior knowledge on the measured object. Further, the influence of the lens distortion is considered thus the carrier can be determined more accurately. The principle of the technique is verified by our experiments, showing that it performs well in both static and dynamic measurements.

[1]  Anand Asundi,et al.  Fast full-field out-of-plane deformation measurement using fringe reflectometry , 2012 .

[2]  K B Kim,et al.  Analysis of dense-medium light scattering with applications to corneal tissue: experiments and Monte Carlo simulations. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  Wenjing Chen,et al.  Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination , 2005 .

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

[5]  Chenggen Quan,et al.  Fringe projection profilometry with nonparallel illumination: a least-squares approach. , 2005, Optics letters.

[6]  C. Quan,et al.  Shape measurement using one frame projected sawtooth fringe pattern , 2005 .

[7]  Qian Chen,et al.  High-speed three-dimensional profilometry for multiple objects with complex shapes. , 2012, Optics express.

[8]  Shijie Feng,et al.  High-speed real-time 3-D coordinates measurement based on fringe projection profilometry considering camera lens distortion , 2014 .

[9]  Qian Chen,et al.  Phase aberration compensation in digital holographic microscopy based on principal component analysis. , 2013, Optics letters.

[10]  Qican Zhang,et al.  A carrier removal method in Fourier transform profilometry with Zernike polynomials , 2013 .

[11]  Zhengjun Liu,et al.  Image encryption algorithm by using fractional Fourier transform and pixel scrambling operation based on double random phase encoding , 2013 .

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

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

[14]  Cho Jui Tay,et al.  Carrier phase component removal: a generalized least-squares approach. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Song Zhang,et al.  High-resolution, real-time three-dimensional shape measurement , 2006 .

[16]  Shijie Feng,et al.  High-speed three-dimensional shape measurement for dynamic scenes using bi-frequency tripolar pulse-width-modulation fringe projection , 2013 .

[17]  Song Zhang.  Recent progresses on real-time 3D shape measurement using digital fringe projection techniques , 2010 .

[18]  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 .

[19]  A. Asundi,et al.  Dynamic three-dimensional sensing for specular surface with monoscopic fringe reflectometry. , 2011, Optics express.

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

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

[22]  X. Su,et al.  High-speed optical measurement for the drumhead vibration. , 2005, Optics express.