Fringe analysis: Premise and perspectives

Keywords: fringe analysis Reference EPFL-ARTICLE-176959doi:10.1016/j.optlaseng.2012.04.006View record in Web of Science URL: http://www.sciencedirect.com/science/article/pii/S0143816612001182 Record created on 2012-05-10, modified on 2017-11-27

[1]  Valéry Valle,et al.  Phase demodulation method from a single fringe pattern based on correlation with a polynomial form. , 2005, Applied optics.

[2]  Cesar A. Sciammarella,et al.  Holographic moiré in real time , 1982 .

[3]  Chenggen Quan,et al.  Determination of displacement derivative in digital holographic interferometry , 2009 .

[4]  Yu Fu.  Low-frequency vibration measurement by temporal analysis of projected fringe patterns , 2010 .

[5]  G Rajshekhar,et al.  Estimation of displacement derivatives in digital holographic interferometry using a two-dimensional space-frequency distribution. , 2010, Optics express.

[6]  P. Groot.  Vibration in phase-shifting interferometry , 1995 .

[7]  J. Marroquín,et al.  Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique. , 1997, Applied optics.

[8]  Jingang Zhong,et al.  Multiscale windowed Fourier transform for phase extraction of fringe patterns. , 2007, Applied optics.

[9]  Kieran G. Larkin,et al.  Design and assessment of symmetrical phase-shifting algorithms , 1992 .

[10]  Mariano Rivera,et al.  Fast phase recovery from a single closed-fringe pattern. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  Wolfgang Osten,et al.  Kinematic and deformation parameter measurement by spatiotemporal analysis of an interferogram sequence. , 2007, Applied optics.

[12]  Thomas Kreis,et al.  Digital holographic interference-phase measurement using the Fourier-transform method , 1986 .

[13]  P. Rastogi,et al.  Measurement of curvature and twist of a deformed object by electronic speckle-shearing pattern interferometry. , 1996, Optics letters.

[14]  G Rajshekhar,et al.  Estimation of the phase derivative using an adaptive window spectrogram. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Noé Alcalá Ochoa,et al.  Normalization and noise-reduction algorithm for fringe patterns , 2007 .

[16]  M. J. Huang,et al.  Histogram-data-orientated filter for inconsistency removal of interferometric phase maps , 2005 .

[17]  Jiancheng Xu,et al.  Spatial carrier phase-shifting algorithm based on least-squares iteration. , 2008, Applied optics.

[18]  Hans J. Tiziani,et al.  Heterodyne temporal speckle-pattern interferometry. , 2000 .

[19]  K Murata,et al.  Digital phase-measuring interferometry with a tunable laser diode. , 1987, Optics letters.

[20]  P. Rastogi.  Phase shifting applied to four-wave holographic interferometers. , 1992, Applied optics.

[21]  Jan Burke,et al.  Invited review article: measurement uncertainty of linear phase-stepping algorithms. , 2011, The Review of scientific instruments.

[22]  Manuel Servin,et al.  Regularized quadrature and phase tracking from a single closed-fringe interferogram. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[23]  Manuel Servin,et al.  Two-dimensional Phase Locked Loop Demodulation of Interferograms , 1993 .

[24]  M Servin,et al.  Regularization methods for processing fringe-pattern images. , 1999, Applied optics.

[25]  Pramod Rastogi,et al.  Phase determination in holographic Moiré in presence of nonsinusoidal waveforms and random noise , 2006 .

[26]  J Schwider,et al.  Some considerations of reduction of reference phase error in phase-stepping interferometry. , 1999, Applied optics.

[27]  J Vargas,et al.  Direct demodulation of closed-fringe interferograms based on active contours. , 2010, Optics letters.

[28]  Pramod Rastogi,et al.  Super-resolution Fourier transform method in phase shifting interferometry. , 2005, Optics express.

[29]  Guillermo H. Kaufmann,et al.  Evaluation of a method to determine interferometric phase derivatives , 1997 .

[30]  José A. Gómez-Pedrero,et al.  Algorithm for fringe pattern normalization , 2001 .

[31]  James C Wyant,et al.  Phase-shifting birefringent scatterplate interferometer. , 2002, Applied optics.

[32]  Xiaolin Li,et al.  Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction. , 2007, Applied optics.

[33]  Pramod Rastogi,et al.  Phase shifting interferometry using a robust parameter estimation method , 2007 .

[34]  Qican Zhang,et al.  Wavefront reconstruction method using the intensity image of phase-shift grating , 2010 .

[35]  Tijani Gharbi,et al.  Phase-unwrapping algorithm for images with high noise content based on a local histogram. , 2005, Applied optics.

[36]  Xianyu Su,et al.  Reliability-guided phase unwrapping algorithm: a review ☆ , 2004 .

[37]  T. R. Judge,et al.  A review of phase unwrapping techniques in fringe analysis , 1994 .

[38]  Cesar A. Sciammarella.  Holographic Moire, An Optical Tool For The Determination Of Displacements, Strains, Contours, And Slopes Of Surfaces , 1982 .

[39]  Qi Yang,et al.  Local frequency estimation for the fringe pattern with a spatial carrier: principle and applications. , 2007, Applied optics.

[40]  K. Larkin.  Natural demodulation of two-dimensional fringe patterns. II. Stationary phase analysis of the spiral phase quadrature transform. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[41]  L R Watkins,et al.  Determination of interferometer phase distributions by use of wavelets. , 1999, Optics letters.

[42]  Chenggen Quan,et al.  Measurement of curvature and twist of a deformed object using digital holography. , 2008, Applied optics.

[43]  Raul R. Cordero,et al.  Measuring displacement derivatives by electronic speckle pattern shearing interferometry (ESPSI) , 2005 .

[44]  C. Basaran,et al.  Automatic Full Strain Field Moiré Interferometry Measurement with Nano-scale Resolution , 2008 .

[45]  Michael A. Sutton,et al.  Development and assessment of a single-image fringe projection method for dynamic applications , 2001 .

[46]  G. Subramanian,et al.  Curvature contours of flexed plates by a multiple illumination moiré shearing interferometer , 1996 .

[47]  Cesar A. Sciammarella,et al.  Frequency modulation interpretation of fringes and computation of strains , 2005 .

[48]  Mahendra P. Kothiyal,et al.  Curvature measurement using three-aperture digital shearography and fast Fourier transform , 2007 .

[49]  Jaakko Astola,et al.  Phase Local Approximation (PhaseLa) Technique for Phase Unwrap From Noisy Data , 2008, IEEE Transactions on Image Processing.

[50]  Satoru Toyooka,et al.  Dynamic electronic speckle pattern interferometry (DESPI) phase analyses with temporal Hilbert transform. , 2003, Optics express.

[51]  Pramod Rastogi,et al.  Model-based processing of a holographic moiré. , 2005, Optics letters.

[52]  Miguel Mora-González,et al.  Phase tracking with a spatial synchronous method. , 2007, Applied optics.

[53]  Seah Hock Soon,et al.  Instantaneous frequency and its application to strain extraction in moire interferometry. , 2003, Applied optics.

[54]  J Politch,et al.  Second derivative of displacement on cylindrical shells by projection moire. , 1989, Applied optics.

[55]  Y. Y. Hung.  A speckle-shearing interferometer: A tool for measuring derivatives of surface displacements , 1974 .

[56]  Gopalakrishna K. Bhat.  A hybrid fringe analysis technique for the elimination of random noise in interferometric wrapped phase maps , 1994 .

[57]  M. Servin,et al.  Isotropic n-dimensional fringe pattern normalization , 2003 .

[58]  Sai Siva Gorthi,et al.  Investigation to realize a computationally efficient implementation of the high-order instantaneous-moments-based fringe analysis method , 2010 .

[59]  Sai Siva Gorthi,et al.  Improved high-order ambiguity-function method for the estimation of phase from interferometric fringes. , 2009, Optics letters.

[60]  Y. Y. Hung,et al.  Image-shearing camera for direct measurement of surface strains. , 1979, Applied optics.

[61]  Alejandro Federico,et al.  Phase retrieval in digital speckle pattern interferometry by use of a smoothed space-frequency distribution. , 2003, Applied optics.

[62]  Francisco J. Cuevas,et al.  Window fringe pattern demodulation by multi-functional fitting using a genetic algorithm , 2006 .

[63]  Anand Asundi,et al.  Improved spatial phase detection for profilometry using a TDI imager , 1998 .

[64]  Qian Kemao.  On window size selection in the windowed Fourier ridges algorithm: Addendum , 2007 .

[65]  Anand Asundi,et al.  Fault detection by interferometric fringe pattern analysis using windowed Fourier transform , 2005 .

[66]  Jaakko Astola,et al.  Absolute phase estimation: adaptive local denoising and global unwrapping. , 2008, Applied optics.

[67]  Pramod Rastogi,et al.  Phase-shifting interferometry by a covariance-based method. , 2005, Applied optics.

[68]  C. Werner,et al.  Satellite radar interferometry: Two-dimensional phase unwrapping , 1988 .

[69]  Sai Siva Gorthi,et al.  Estimation of phase derivatives using discrete chirp-Fourier-transform-based method. , 2009, Optics letters.

[70]  Jingang Zhong,et al.  Fringe Analysis Based On an Adaptive Windowed Fourier Transform , 2010 .

[71]  J. C. Estrada,et al.  Phase-shifting interferometry corrupted by white and non-white additive noise. , 2011, Optics express.

[72]  Yu Fu,et al.  Wavelet analysis of speckle patterns with a temporal carrier. , 2005, Applied optics.

[73]  Pramod Rastogi,et al.  Predicting phase steps in phase-shifting interferometry in the presence of noise and harmonics. , 2006, Applied optics.

[74]  Y. Surrel.  Phase stepping: a new self-calibrating algorithm. , 1993, Applied optics.

[75]  Chris P. Brophy,et al.  Effect of intensity error correlation on the computed phase of phase-shifting interferometry , 1990 .

[76]  Joris Vanherzeele,et al.  Fourier fringe processing using a regressive Fourier-transform technique , 2005 .

[77]  Chuping Yang,et al.  Two-dimensional multiscale windowed Fourier transform based on two-dimensional wavelet transform for fringe pattern demodulation , 2011 .

[78]  P. Rastogi,et al.  An integral approach to phase shifting interferometry using a super-resolution frequency estimation method. , 2004, Optics express.

[79]  Pramod Rastogi,et al.  Maximum-likelihood estimator for dual phase extraction in holographic moire. , 2005, Optics letters.

[80]  Y. Ishii,et al.  Phase-extraction algorithm in laser-diode phase-shifting interferometry. , 1995, Optics letters.

[81]  T. Bothe,et al.  Spatial phase shifting in electronic speckle pattern interferometry: minimization of phase reconstruction errors. , 1997, Applied optics.

[82]  Emre Coşkun,et al.  Optical phase distribution evaluation by using an S-transform. , 2007, Optics letters.

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

[84]  Pramod Rastogi,et al.  Resolution-enhanced Fourier transform method for the estimation of multiple phases in interferometry. , 2005, Optics letters.

[85]  Siew Lok Toh,et al.  Direct determination of second-order derivatives in plate bending using multiple-exposure shearography , 1994 .

[86]  C Joenathan,et al.  Phase-measuring interferometry: new methods and error analysis. , 1994, Applied optics.

[87]  Valéry Valle,et al.  Phase demodulation from a single fringe pattern based on a correlation technique. , 2004, Applied optics.

[88]  Guillermo H. Kaufmann,et al.  Speckle noise reduction in television holography fringes using wavelet thresholding , 1996 .

[89]  Jiangtao Xi,et al.  Discrete cosine transform-based shift estimation for fringe pattern profilometry using a generalized analysis model. , 2006, Applied optics.

[90]  Sai Siva Gorthi,et al.  Simultaneous measurement of displacement, strain and curvature in digital holographic interferometry using high-order instantaneous moments. , 2009, Optics express.

[91]  R Cusack,et al.  Improved noise-immune phase-unwrapping algorithm. , 1995, Applied optics.

[92]  Y Surrel,et al.  Design of algorithms for phase measurements by the use of phase stepping. , 1996, Applied optics.

[93]  José M. N. Leitão,et al.  The ZπM algorithm: a method for interferometric image reconstruction in SAR/SAS , 2002, IEEE Trans. Image Process..

[94]  P. Rastogi.  Phase-shifting holographic moiré: phase-shifter error-insensitive algorithms for the extraction of the difference and sum of phases in holographic moiré. , 1993, Applied optics.

[95]  Y. Y. Hung.  Shearography: A New Optical Method For Strain Measurement And Nondestructive Testing , 1982 .

[96]  Jesús Villa,et al.  Regularized quadratic cost function for oriented fringe-pattern filtering. , 2009, Optics letters.

[97]  H. Frankena,et al.  Linear approximation for measurement errors in phase shifting interferometry. , 1991, Applied optics.

[98]  G Rajshekhar,et al.  Adaptive window Wigner-Ville-distribution-based method to estimate phase derivative from optical fringes. , 2009, Optics letters.

[99]  Y Surrel,et al.  Effect of quantization error on the computed phase of phase-shifting measurements. , 1997, Applied optics.

[100]  H J Tiziani,et al.  Speckle interferometry with temporal phase evaluation for measuring large-object deformation. , 1998, Applied optics.

[101]  Antonio Baldi.  Phase unwrapping by region growing. , 2003, Applied optics.

[102]  Guillermo H Kaufmann,et al.  Phase measurement in temporal speckle pattern interferometry: comparison between the phase-shifting and the Fourier transform methods. , 2002, Applied optics.

[103]  F. bai,et al.  Modified Fourier-transform method for phase-shift calibration , 2011 .

[104]  Xianyu Su,et al.  Adaptive windowed Fourier transform in 3-D shape measurement , 2006 .

[105]  Jesús Villa,et al.  Phase recovery from a single fringe pattern using an orientational vector-field-regularized estimator. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[106]  Qian Kemao,et al.  Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations , 2007 .

[107]  Sai Siva Gorthi,et al.  Piecewise polynomial phase approximation approach for the analysis of reconstructed interference fields in digital holographic interferometry , 2009 .

[108]  Giuseppe Molesini,et al.  Improved accuracy phase retrieval in spatial phase-shifting interferometry , 2012 .

[109]  G Rajshekhar,et al.  Strain estimation in digital holographic interferometry using piecewise polynomial phase approximation based method. , 2010, Optics express.

[110]  Chen Tang,et al.  Tangent least-squares fitting filtering method for electrical speckle pattern interferometry phase fringe patterns. , 2007, Applied optics.

[111]  M. J. Huang,et al.  Phase unwrapping through region-referenced algorithm and window-patching method , 2002 .

[112]  Dongliang Zheng,et al.  A novel algorithm for branch cut phase unwrapping , 2011 .

[113]  Qifeng Yu,et al.  Spin filtering with curve windows for interferometric fringe patterns. , 2002, Applied optics.

[114]  Manuel Servin,et al.  A Novel Technique for Spatial Phase-shifting Interferometry , 1995 .

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

[116]  Stephan Waldner,et al.  A simple and effective method for filtering speckle-interferometric phase fringe patterns , 1999 .

[117]  J A Quiroga,et al.  The general theory of phase shifting algorithms. , 2009, Optics express.

[118]  M Servin,et al.  Phase unwrapping through demodulation by use of the regularized phase-tracking technique. , 1999, Applied optics.

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

[120]  Pramod Rastogi,et al.  Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry. , 2007, Applied optics.

[121]  Qian Kemao,et al.  Windowed Fourier transform for fringe pattern analysis. , 2004, Applied optics.

[122]  Chris L. Koliopoulos,et al.  Fourier description of digital phase-measuring interferometry , 1990 .

[123]  Francisco Palacios,et al.  Adaptive filter to improve the performance of phase-unwrapping in digital holography , 2004 .

[124]  J. Greivenkamp,et al.  Phase Shifting Interferometers , 1992 .

[125]  Louis A. Romero,et al.  Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods , 1994 .

[126]  K. Hibino,et al.  Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts , 1997 .

[127]  Pramod Rastogi,et al.  Application of complex-lag distributions for estimation of arbitrary order phase derivatives in digital holographic interferometry. , 2011, Optics letters.

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

[129]  Torfinn Taxt,et al.  Two-dimensional phase unwrapping using robust derivative estimation and adaptive integration , 2002, IEEE Trans. Image Process..

[130]  Pramod Rastogi,et al.  Accurate nonlinear phase step estimation in phase shifting interferometry , 2006 .

[131]  Y Ichioka,et al.  Direct phase detecting system. , 1972, Applied optics.

[132]  M. Servin,et al.  Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms , 2001 .

[133]  Pramod Rastogi,et al.  Chirp estimation in phase-shifting interferometry. , 2006, Optics letters.

[134]  D W Phillion,et al.  General methods for generating phase-shifting interferometry algorithms. , 1997, Applied optics.

[135]  Brad Kimbrough,et al.  Pixelated mask spatial carrier phase shifting interferometry algorithms and associated errors. , 2006, Applied optics.

[136]  Toshihiko Yoshino,et al.  Stabilization improvements of laser-diode closed-loop heterodyne phase-shifting interferometer for surface profile measurement. , 2003, Applied optics.

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

[138]  Alejandro Federico,et al.  Normalization of fringe patterns using the bidimensional empirical mode decomposition and the Hilbert transform. , 2009, Applied optics.

[139]  Qian Kemao,et al.  Sequential demodulation of a single fringe pattern guided by local frequencies. , 2007, Optics letters.

[140]  J. Monneret,et al.  In-plane deformation measurement using holographic moiré , 1981 .

[141]  Seah Hock Soon,et al.  Phase extraction from arbitrary phase-shifted fringe patterns with noise suppression , 2010 .

[142]  Pramod Rastogi,et al.  An electronic pattern speckle shearing interferometer for the measurement of surface slope variations of three-dimensional objects , 1997 .

[143]  O. Kwon,et al.  Multichannel phase-shifted interferometer. , 1984, Optics letters.

[144]  Wei-Hung Su,et al.  Noise-reduction for fringe analysis using the empirical mode decomposition with the generalized analysis model , 2010 .

[145]  J. Marroquín,et al.  General n-dimensional quadrature transform and its application to interferogram demodulation. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[146]  Benito V. Dorrío,et al.  Characteristic polynomial theory of two-stage phase shifting algorithms , 2012 .

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

[148]  Wei Sun,et al.  Demodulation of a single interferogram based on continuous wavelet transform and phase derivative , 2007 .

[149]  L. Mertz,et al.  Real-time fringe-pattern analysis. , 1983, Applied optics.

[150]  P. Hariharan.  Phase-shifting interferometry: minimization of systematic errors , 2000 .

[151]  P. Rastogi,et al.  Rotational invariance approach for the evaluation of multiple phases in interferometry in the presence of nonsinusoidal waveforms and noise. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[152]  H J Frankena,et al.  Real-time displacement measurement using a multicamera phase-stepping speckle interferometer. , 1994, Applied optics.

[153]  A Asundi,et al.  Fast phase-unwrapping algorithm based on a gray-scale mask and flood fill. , 1998, Applied optics.

[154]  K Venkatakrishnan,et al.  Phase-shifting interferometry immune to vibration. , 2001, Applied optics.

[155]  Wolfgang Osten,et al.  Improvement of the regularized phase tracking technique for the processing of nonnormalized fringe patterns. , 2002, Applied optics.

[156]  Anh Kiet Tieu,et al.  Measurement of curvature distribution using digital speckle three-shearing aperture interferometry , 2007 .

[157]  J. F. Mosiño,et al.  Noise in phase shifting interferometry. , 2009, Optics express.

[158]  Pramod Rastogi,et al.  A stochastic method for generalized data reduction in holographic moiré , 2005 .

[159]  P. Carré.  Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures , 1966 .

[160]  Pramod Rastogi,et al.  High-resolution frequency estimation technique for recovering phase distribution in interferometers. , 2005, Optics letters.

[161]  Jan A.N. Buytaert,et al.  Phase-shifting Moiré topography using optical demodulation on liquid crystal matrices , 2010 .

[162]  Pramod Rastogi,et al.  Phase-shifting interferometry in the presence of nonlinear phase steps, harmonics, and noise. , 2006, Optics letters.

[163]  G Rajshekhar,et al.  Strain, curvature, and twist measurements in digital holographic interferometry using pseudo-Wigner-Ville distribution based method. , 2009, The Review of scientific instruments.

[164]  K Creath,et al.  Extended averaging technique for derivation of error-compensating algorithms in phase-shifting interferometry. , 1995, Applied optics.

[165]  Jean-Christophe Dupré,et al.  Fringe analysis by phase shifting technique for birefringent fluid studies , 2010 .

[166]  Alejandro Federico,et al.  Comparative study of wavelet thresholding methods for denoising electronic speckle pattern interferometry fringes , 2001 .

[167]  K Andresen,et al.  Noise-free normalized fringe patterns and local pixel transforms for strain extraction. , 1996, Applied optics.

[168]  Qian Kemao,et al.  On window size selection in the windowed Fourier ridges algorithm , 2007 .

[169]  Lin Cong,et al.  Complex-amplitude-based phase unwrapping method for digital holographic microscopy , 2012 .

[170]  Pramod Rastogi,et al.  A novel approach for characterizing the nonlinear phase steps of the PZT in interferometry , 2007 .

[171]  Amitabha Basuray,et al.  Coherent moire technique for obtaining slope and curvature of stress patterns , 1994 .

[172]  Sai Siva Gorthi,et al.  Windowed high-order ambiguity function method for fringe analysis. , 2009, The Review of scientific instruments.

[173]  Maitreyee Roy,et al.  Improved switchable achromatic phase shifters, part 2 , 2005 .

[174]  Alejandro Federico,et al.  Hilbert transform analysis of a time series of speckle interferograms with a temporal carrier. , 2008, Applied optics.

[175]  Cesar A. Sciammarella,et al.  Determination of strains from fringe patterns using space-frequency representations , 2003 .

[176]  D. J. Brangaccio,et al.  Digital wavefront measuring interferometer for testing optical surfaces and lenses. , 1974, Applied optics.

[177]  Kenneth H. Womack,et al.  Interferometric Phase Measurement Using Spatial Synchronous Detection , 1983 .

[178]  Sai Siva Gorthi,et al.  Discrete chirp Fourier transform based analysis of reconstructed interference fields in digital holographic interferometry , 2009 .

[179]  Pramod Rastogi,et al.  A state space approach in phase shifting interferometry , 2006 .

[180]  Pramod Rastogi,et al.  Estimation of multiple phases in holographic moiré in presence of harmonics and noise using minimum-norm algorithm. , 2005, Optics express.

[181]  C. J. Morgan.  Least-squares estimation in phase-measurement interferometry. , 1982, Optics letters.

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

[183]  C. R. Coggrave,et al.  Progress in phase unwrapping , 1998, Other Conferences.

[184]  Louis A. Romero,et al.  A Cellular Automata Method for Phase Unwrapping , 1986, Topical Meeting On Signal Recovery and Synthesis II.

[185]  R. Smythe,et al.  Instantaneous Phase Measuring Interferometry , 1984 .

[186]  B Gutmann,et al.  Phase unwrapping with the branch-cut method: role of phase-field direction. , 2000, Applied optics.

[187]  Sai Siva Gorthi,et al.  Polynomial Wigner?Ville distribution-based method for direct phase derivative estimation from optical fringes , 2009 .

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

[189]  Janusz Kozlowski,et al.  New modified phase locked loop method for fringe pattern demodulation , 1997 .

[190]  R. Oven,et al.  Measurement of two dimensional refractive index profiles of channel waveguides using an interferometric technique. , 2009, Applied optics.

[191]  Qiang Lu,et al.  Window size selection in windowed Fourier transform for phase retrieval , 2010 .

[192]  Y Tsunoda,et al.  Diode laser direct modulation heterodyne interferometer. , 1987, Applied optics.

[193]  Anand Asundi,et al.  Grating-based real-time polarization phase-shifting interferometry: error analysis. , 2002, Applied optics.

[194]  Jingang Zhong,et al.  Dilating Gabor transform for the fringe analysis of 3-D shape measurement , 2004 .

[195]  P. Wizinowich,et al.  Phase shifting interferometry in the presence of vibration: a new algorithm and system. , 1990, Applied optics.

[196]  U. Schnars,et al.  Digital recording and reconstruction of holograms in hologram interferometry and shearography. , 1994, Applied optics.

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

[198]  G. H. Kaufmann,et al.  Phase-shifted dynamic speckle pattern interferometry at 1 kHz. , 1999, Applied optics.

[199]  G. H. Kaufmann.  Nondestructive testing with thermal waves using phase-shifted temporal speckle pattern interferometry , 2003 .

[200]  J. R. Buckland,et al.  Unwrapping noisy phase maps by use of a minimum-cost-matching algorithm. , 1995, Applied optics.

[201]  P. Rastogi,et al.  Estimation of multiple phases in interferometry in the presence of nonlinear arbitrary phase steps. , 2006, Optics express.

[202]  Hgn Henk Eemers,et al.  Phase measurement interferometry , 1990 .

[203]  Mohamed Afifi,et al.  Paul wavelet-based algorithm for optical phase distribution evaluation , 2002 .

[204]  M. A. Oldfield,et al.  Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[205]  Giancarlo Pedrini,et al.  Derivatives obtained directly from displacement data , 1994 .

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

[207]  M. Servin,et al.  Spectral analysis of phase shifting algorithms. , 2009, Optics express.

[208]  Cheng Liu.  Simultaneous measurement of displacement and its spatial derivatives with a digital holographic method , 2003 .

[209]  Steve Vanlanduit,et al.  Fourier fringe processing by use of an interpolated Fourier-transform technique. , 2004, Applied optics.

[210]  Kai Li,et al.  Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching , 2011 .

[211]  A. L. Weijers,et al.  Polarization phase stepping with a savart element. , 1998, Applied optics.

[212]  Jun Ni,et al.  Phase unwrapping for large depth-of-field 3D laser holographic interferometry measurement of laterally discontinuous surfaces , 2006 .

[213]  Pramod Rastogi,et al.  Subspace-based method for phase retrieval in interferometry. , 2005, Optics express.

[214]  J. Schwider,et al.  Digital wave-front measuring interferometry: some systematic error sources. , 1983, Applied optics.

[215]  Parameswaran Hariharan,et al.  Improved switchable achromatic phase shifters , 1999 .

[216]  Manuel Servin,et al.  Local phase from local orientation by solution of a sequence of linear systems , 1998 .

[217]  K Andresen,et al.  New spin filters for interferometric fringe patterns and grating patterns. , 1994, Applied optics.

[218]  M. P. Kothiyal,et al.  Simultaneous measurement of slope and curvature with a three-aperture speckle shearing interferometer. , 1984, Applied optics.

[219]  Fook Siong Chau,et al.  Direct measurement of curvature and twist of plates using digital shearography , 2003 .