Processing and phase analysis of fringe patterns with contrast reversals.

A method for demodulating fringe patterns containing contrast reversals is proposed. It consists of two steps. First, the absolute value of the fringe intensity distribution with its background removed is calculated. Then, two dimensional continuous wavelet transform with enhanced ridge extraction algorithm is applied to extract the fringe phase map. Proposed approach allows to dispose of phase jumps along the contrast reversal bands. The method requires only one image and has no special demands concerning the fringe pattern design. Method validity and robustness is confirmed using experimentally acquired time-averaged interferograms of vibrating silicon micromembranes.

[1]  Rebecca Richards-Kortum,et al.  High resolution, molecular-specific, reflectance imaging in optically dense tissue phantoms with structured-illumination. , 2004, Optics express.

[2]  Jun Ma,et al.  Two-dimensional continuous wavelet transform for phase determination of complex interferograms. , 2011, Applied optics.

[3]  J. Fujimoto,et al.  Optical Coherence Tomography: High Resolution Imaging Using Echoes of Light , 2000 .

[4]  Krzysztof Patorski,et al.  Comprehensive Fringe Pattern Processing Using Continuous Wavelet Transform , 2014 .

[5]  Jun Ma,et al.  Parameter discretization in two-dimensional continuous wavelet transform for fast fringe pattern analysis. , 2011, Applied optics.

[6]  Hrebesh M. Subhash,et al.  Full-Field and Single-Shot Full-Field Optical Coherence Tomography: A Novel Technique for Biomedical Imaging Applications , 2012 .

[7]  Krzysztof Patorski,et al.  Visualization of additive-type moiré and time-average fringe patterns using the continuous wavelet transform. , 2010, Applied optics.

[8]  J C Wyant,et al.  Effect of spurious reflection on phase shift interferometry. , 1988, Applied optics.

[9]  Sylvain Petitgrand,et al.  Application of microscopic interferometry techniques in the MEMS field , 2003, SPIE Optical Metrology.

[10]  Zenonas Navickas,et al.  Interpretation of Fringes Produced by Time‐Averaged Projection Moiré , 2011 .

[11]  Byeong Ha Lee,et al.  Image restoration method based on Hilbert transform for full-field optical coherence tomography. , 2008, Applied optics.

[12]  José M. Bioucas-Dias,et al.  Phase Unwrapping via Graph Cuts , 2007, IEEE Trans. Image Process..

[13]  Maciej Trusiak,et al.  Advanced processing of optical fringe patterns by automated selective reconstruction and enhanced fast empirical mode decomposition , 2014 .

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

[15]  Ángel F. Doval,et al.  Whole-field vibration phase measurement with electronic speckle pattern interferometry (ESPI) , 1994, Other Conferences.

[16]  P de Groot.  Measurement of transparent plates with wavelength-tuned phase-shifting interferometry. , 2000, Applied optics.

[17]  A W Lohmann,et al.  Spatial pulse modulation. , 1971, Applied optics.

[18]  K. Patorski,et al.  Evaluation of amplitude encoded fringe patterns using the bidimensional empirical mode decomposition and the 2D Hilbert transform generalizations. , 2011, Applied optics.

[19]  Jun Ma,et al.  Wavelet selection in two-dimensional continuous wavelet transform technique for optical fringe pattern analysis , 2012, Journal of Optics.

[20]  Huanfeng Ma,et al.  Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing , 2006 .

[21]  Jinghuai Gao,et al.  A New Tiling Scheme for 2-D Continuous Wavelet Transform With Different Rotation Parameters at Different Scales Resulting in a Tighter Frame , 2012, IEEE Signal Processing Letters.

[22]  Krzysztof Patorski,et al.  Fizeau interferometer for quasi parallel optical plate testing , 2008, Optical Engineering + Applications.

[23]  H. Osterberg,et al.  An Interferometer Method of Studying the Vibrations of an Oscillating Quartz Plate , 1932 .

[24]  Krzysztof Patorski,et al.  Evaluation of optical parameters of quasi-parallel plates with single-frame interferogram analysis methods , 2012 .

[25]  X. Su,et al.  Phase-stepping grating profilometry: utilization of intensity modulation analysis in complex objects evaluation , 1993 .

[26]  Sylvain Petitgrand,et al.  Quantitative time-averaged microscopic interferometry for micromechanical device vibration mode characterization , 2001, Lasers in Metrology and Art Conservation.

[27]  Krzysztof Patorski,et al.  Interferogram intensity modulation calculations using temporal phase shifting: error analysis , 2006 .

[28]  J E Greivenkamp,et al.  Modulation transfer function measurement of sparse-array sensors using a self-calibrating fringe pattern. , 1994, Applied optics.

[29]  Francis Lilley,et al.  Spatial fringe pattern analysis using the two-dimensional continuous wavelet transform employing a cost function. , 2007, Applied optics.

[30]  Munther A Gdeisat,et al.  Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform. , 2006, Applied optics.

[31]  Krzysztof Patorski,et al.  Active microelement testing by interferometry using time-average and quasi-stroboscopic techniques , 2003, SPIE Optical Metrology.

[32]  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 .

[33]  Y. Y. Hung,et al.  Moiré contour-sum contour-difference, and vibration analysis of arbitrary objects. , 1971, Applied optics.

[34]  T C Strand,et al.  Range measurement using Talbot diffraction imaging of gratings. , 1984, Applied optics.

[35]  Jan Burke,et al.  Simultaneous measurement of surface shape and variation in optical thickness of a transparent parallel plate in wavelength-scanning Fizeau interferometer. , 2004, Applied optics.

[36]  Kieran G. Larkin,et al.  Efficient nonlinear algorithm for envelope detection in white light interferometry , 1996 .

[37]  T. Wilson,et al.  Method of obtaining optical sectioning by using structured light in a conventional microscope. , 1997, Optics letters.

[38]  Ryszard J. Pryputniewicz,et al.  Measurement Of Vibration Patterns Using Electro-Optic Holography , 1990, Optics & Photonics.

[39]  Krzysztof Patorski,et al.  Highly contrasted Bessel fringe minima visualization for time-averaged vibration profilometry using Hilbert transform two-frame processing. , 2013, Optics express.

[40]  P. Groot.  Measurement of transparent plates with wavelength-tuned phase-shifting interferometry , 2000 .

[41]  David R. Burton,et al.  Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform , 2006 .

[42]  G O Rosvold,et al.  Video-based vibration analysis using projected fringes. , 1994, Applied optics.