A carrier removal method based on frequency domain self-filtering for interferogram analysis

Abstract Based on interferogram frequency domain self-filtering methods, a simple, robust and effective carrier-removal approach for carrier interferogram analysis is proposed. The spatial carrier interferogram is firstly extrapolated to increase the frequency resolution, and a synthetic referencing interferogram distilled from the extrapolation interferogram with frequency domain self-filtering method. The carrier phase component is removed by subtracting the carrier phase extracted from the synthetic referencing interferogram with fast Fourier transform (FFT) method. Compared with existing carrier removal methods, numerical simulations and experiments, the proposed method is effective and accurate for suppressing the carrier-removal error caused by the digitization of the interferogram in the Fourier transform method (FTM) for carrier interferogram analysis.

[1]  Shou-huan Zhou,et al.  Circular common-path point diffraction interferometer. , 2012, Optics letters.

[2]  D J Bone,et al.  Fringe-pattern analysis using a 2-D Fourier transform. , 1986, Applied optics.

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

[4]  C. Tien,et al.  The measurement of surface roughness of optical thin films based on fast Fourier transform , 2009 .

[5]  Donald G. Bailey Detecting regular patterns using frequency domain self-filtering , 1997, Proceedings of International Conference on Image Processing.

[6]  E. Cuche,et al.  Spatial filtering for zero-order and twin-image elimination in digital off-axis holography. , 2000, Applied optics.

[7]  Jesus Blanco-Garcia,et al.  Comparison of carrier removal methods in the analysis of TV holography fringes by the Fourier transform method , 1998 .

[8]  Yan Wang,et al.  Fringe extrapolation technique based on Fourier transform for interferogram analysis. , 2009, Optics letters.

[9]  Jianlin Zhao,et al.  Suppressing carrier removal error in the Fourier transform method for interferogram analysis , 2010 .

[10]  Fang Chen,et al.  Fast Fourier transform, iteration, and least-squares-fit demodulation image processing for analysis of single-carrier fringe pattern , 1995 .

[11]  Soyoung S. Cha,et al.  Removal of carrier frequency in phase-shifting techniques , 1998 .

[12]  Shouhuan Zhou,et al.  Accurate carrier-removal technique based on zero padding in Fourier transform method for carrier interferogram analysis , 2014 .

[13]  Krzysztof Patorski,et al.  Analysis of systematic errors in spatial carrier phase shifting applied to interferogram intensity modulation determination. , 2007, Applied optics.

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

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

[16]  K A Nugent,et al.  Interferogram analysis using an accurate fully automatic algorithm. , 1985, Applied optics.

[17]  P. Ronney,et al.  Modified Fourier transform method for interferogram fringe pattern analysis. , 1997, Applied optics.

[18]  Joni-Kristian Kämäräinen,et al.  Detection of irregularities in regular patterns , 2008, Machine Vision and Applications.

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