Improved regularized phase-tracking technique for the processing of squared-grating deflectograms.

We propose a robust procedure based on the regularized phase-tracking (RPT) technique to demodulate squared-grating deflectograms. The use of squared gratings, already reported, lets us multiplex the information of the deflections in two orthogonal directions in a single image, thus avoiding the necessity of rotating the gratings. The good noise-rejection characteristics of the RPT technique are improved by use of a quasi-Newton optimization algorithm and a quality-map-based algorithm for the crystal-growing process.

[1]  E. Keren,et al.  Measurement of low density transmission gratings by moire deflectometry: hybrid Talbot effect. , 1987, Applied optics.

[2]  B Ströbel,et al.  Processing of interferometric phase maps as complex-valued phasor images. , 1996, Applied optics.

[3]  O. Kafri,et al.  Refractive-index measurements by moire deflectometry. , 1982, Applied optics.

[4]  A. W. Lohmann,et al.  An interferometer based on the Talbot effect , 1971 .

[5]  Oded Kafri,et al.  Reflective surface analysis using moiré deflectometry. , 1981, Applied optics.

[6]  I Glatt,et al.  Determination of the focal length of nonparaxial lenses by moire deflectometry. , 1987, Applied optics.

[7]  Tilo Pfeifer,et al.  Phase-shifting Moiré deflectometry , 1995 .

[8]  R Rodriguez-Vera,et al.  Automatic fringe detection algorithm used for moire deflectometry. , 1990, Applied optics.

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

[10]  Juan Antonio Quiroga,et al.  FOURIER TRANSFORM METHOD FOR AUTOMATIC PROCESSING OF MOIRE DEFLECTOGRAMS , 1999 .

[11]  J C Wyant,et al.  Double frequency grating lateral shear interferometer. , 1973, Applied optics.

[12]  Jonathan M. Huntley,et al.  High Resolution Moire Photography: Application To Dynamic Stress Analysis , 1989 .

[13]  Oded Kafri,et al.  Diffraction effects in moiré deflectometry , 1985 .

[14]  E Bernabeu,et al.  Local dioptric power matrix in a progressive addition lens. , 1997, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[15]  E. Bar-Ziv.  Effect of diffraction on the moiré image. I. Theory , 1985 .

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

[17]  F Roddier,et al.  Interferogram analysis using Fourier transform techniques. , 1987, Applied optics.

[18]  M. Takeda,et al.  Lateral aberration measurements with a digital Talbot interferometer. , 1984, Applied optics.

[19]  Oded Kafri,et al.  The physics of moire metrology , 1990 .

[20]  J A Quiroga,et al.  Automatic processing in moiré deflectometry by local fringe direction calculation. , 1998, Applied optics.

[21]  J A Quiroga,et al.  Improved phase-shifting method for automatic processing of moiré deflectograms. , 1998, Applied optics.

[22]  E. Keren,et al.  Measurements of temperature distribution of flames by moire deflectometry. , 1981, Applied optics.

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