T. Tasdizen and R. Withaker, "Feature preserving variational smoothing of terrain data," in Proceedings of the Second IEEE Workshop on Variational, Geometric and Level Set Methods in Computer Vision (VLSM'03) (Institute of Electrical and Electronics Engineers, 2003), pp. 121-128.

M. Rivera and J. L. Marroquin, "Efficient half-quadratic regularization with granularity control," J. Image Vision Comput. 21, 345-357 (2003).

[CrossRef]

K. J. Gasvik, Optical Metrology, 3rd ed. (Wiley, 2002).

[CrossRef]

M. Rivera and J. L. Marroquin, "Adaptive rest condition potentials: first and second order edge-preserving regularization," J. Comput. Vision Image Understand. 88, 76-93 (2002).

[CrossRef]

R. Legarda-Saenz, W. Osten, and W. Juptner, "Improvement of the regularized phase tracking technique for the processing of nonnormalized fringe patterns," Appl. Opt. 41, 5519-5526 (2002).

[CrossRef]
[PubMed]

G. Boensch, "Automatic gauge block measurement by phase stepping interferometry with three laser wavelengths," in Recent Developments in Traceable Dimensional Measurements, J. E. Decker and N. Brown, eds., Proc. SPIE 4401, 1-10 (2001).

[CrossRef]

M. Rivera, J. L. Marroquin, S. Botello, and M. Servin, "A robust spatio-temporal quadrature filter for multi-phase stepping," Appl. Opt. 39, 284-292 (2000).

[CrossRef]

J. Villa, J. A. Quiroga, and M. Servin, "Improved regularized phase tracking technique for the processing of squared-grating deflectograms," Appl. Opt. 39, 502-508 (2000).

[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, and M. Servin, "Regularization methods for processing fringe-pattern images," Appl. Opt. 38, 788-795 (1999).

[CrossRef]

J. Nocedal and S. Wright, Numerical Optimization, Springer Series in Operational Research (Springer-Verlag, 1999).

[CrossRef]

G. Boensch, "Gauge blocks as length standards measured by interferometry or comparison: length definition, traceability chain, and limitations," in Recent Developments in Optical Gauge Block Metrology, J. E. Decker and N. Brown, eds., Proc. SPIE 3477, 199-210 (1998).

[CrossRef]

M. Servin, J. L. Marroquin, D. Malacara, and F. J. Cuevas, "Phase unwrapping using a regularized phase tracking system," Appl. Opt. 37, 1917-1923 (1998).

[CrossRef]

J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Adaptive quadrature filters for multiphase stepping images," Opt. Lett. 23, 238-240 (1998).

[CrossRef]

M. Rivera, J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Fast algorithm for integrating inconsistent gradient fields," Appl. Opt. 36, 8381-8390 (1997).

[CrossRef]

J. L. Marroquin, J. E. Figueroa, and M. Servin, "Robust quadrature filter," J. Opt. Soc. Am. A 14, 779-791 (1997).

[CrossRef]

M. J. Black and A. Rangarajan, "Unification of line process, outlier rejection, and robust statistics with application in early vision," Int. J. Comput. Vision 19, 57-91 (1996).

[CrossRef]

M. Proesmans, A. E. Pouwels, and L. Van Gool, "Couple geometry-driven diffusion equations for low level vision," in Geometry-Driven Diffusion in Computer Vision, B.M.ter Haar-Romeny, ed. (Kluwer Academic, 1994), pp. 191-228.

D. Geman and G. Reynolds, "Constrained restoration and recovery of discontinuities," IEEE Trans. Pattern Anal. Mach. Intell. 14, 367-383 (1992).

[CrossRef]

J. L. Marroquin, S. Mitter, and T. Poggio, "Probabilistic solution of ill-posed problems in computational vision," J. Am. Statist. Assoc. 82, 76-89 (1987).

[CrossRef]

D. J. Pugh and K. Jackson, "Automatic gauge block measurement using multiple wavelength interferometer," in Contemporary Optical Instrument Design, Fabrication and Testing, H. Beckmann, J. Briers, and P. R. Yoder, eds., Proc. SPIE 656, 233-250 (1986).

J. M. Huntley, "An image processing system for the analysis of speckle photographs," J. Phys. E 19, 43-49 (1986).

[CrossRef]

K. H. Womack, "Interferometric phase measurement using spatial synchronous detection," Opt. Eng. 23, 391-395 (1984).

M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am 4, 156-160 (1982).

[CrossRef]

M. J. Black and A. Rangarajan, "Unification of line process, outlier rejection, and robust statistics with application in early vision," Int. J. Comput. Vision 19, 57-91 (1996).

[CrossRef]

G. Boensch, "Automatic gauge block measurement by phase stepping interferometry with three laser wavelengths," in Recent Developments in Traceable Dimensional Measurements, J. E. Decker and N. Brown, eds., Proc. SPIE 4401, 1-10 (2001).

[CrossRef]

G. Boensch, "Gauge blocks as length standards measured by interferometry or comparison: length definition, traceability chain, and limitations," in Recent Developments in Optical Gauge Block Metrology, J. E. Decker and N. Brown, eds., Proc. SPIE 3477, 199-210 (1998).

[CrossRef]

M. Rivera, J. L. Marroquin, S. Botello, and M. Servin, "A robust spatio-temporal quadrature filter for multi-phase stepping," Appl. Opt. 39, 284-292 (2000).

[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, and M. Servin, "Regularization methods for processing fringe-pattern images," Appl. Opt. 38, 788-795 (1999).

[CrossRef]

K. J. Gasvik, Optical Metrology, 3rd ed. (Wiley, 2002).

[CrossRef]

D. Geman and C. Yang, "Nonlinear image recovery with half-quadratic regularization," IEEE Trans. Image Process. 4, 932-946, (1995).

[CrossRef]
[PubMed]

D. Geman and G. Reynolds, "Constrained restoration and recovery of discontinuities," IEEE Trans. Pattern Anal. Mach. Intell. 14, 367-383 (1992).

[CrossRef]

S. Geman and D. E. McClure, "Bayesian image analysis methods: An application to single photon emission tomography," in Proceedings of the Statistical Computation Section (American Statistical Association, 1985), pp. 12-18.

J. M. Huntley, "An image processing system for the analysis of speckle photographs," J. Phys. E 19, 43-49 (1986).

[CrossRef]

M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am 4, 156-160 (1982).

[CrossRef]

D. J. Pugh and K. Jackson, "Automatic gauge block measurement using multiple wavelength interferometer," in Contemporary Optical Instrument Design, Fabrication and Testing, H. Beckmann, J. Briers, and P. R. Yoder, eds., Proc. SPIE 656, 233-250 (1986).

M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am 4, 156-160 (1982).

[CrossRef]

M. Rivera and J. L. Marroquin, "Half-quadratic cost functions for phase unwrapping," Opt. Lett. 29, 504-506 (2004).

[CrossRef]
[PubMed]

M. Rivera and J. L. Marroquin, "Efficient half-quadratic regularization with granularity control," J. Image Vision Comput. 21, 345-357 (2003).

[CrossRef]

M. Rivera and J. L. Marroquin, "Adaptive rest condition potentials: first and second order edge-preserving regularization," J. Comput. Vision Image Understand. 88, 76-93 (2002).

[CrossRef]

M. Rivera, J. L. Marroquin, S. Botello, and M. Servin, "A robust spatio-temporal quadrature filter for multi-phase stepping," Appl. Opt. 39, 284-292 (2000).

[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, and M. Servin, "Regularization methods for processing fringe-pattern images," Appl. Opt. 38, 788-795 (1999).

[CrossRef]

J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Adaptive quadrature filters for multiphase stepping images," Opt. Lett. 23, 238-240 (1998).

[CrossRef]

M. Servin, J. L. Marroquin, D. Malacara, and F. J. Cuevas, "Phase unwrapping using a regularized phase tracking system," Appl. Opt. 37, 1917-1923 (1998).

[CrossRef]

J. L. Marroquin, J. E. Figueroa, and M. Servin, "Robust quadrature filter," J. Opt. Soc. Am. A 14, 779-791 (1997).

[CrossRef]

M. Rivera, J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Fast algorithm for integrating inconsistent gradient fields," Appl. Opt. 36, 8381-8390 (1997).

[CrossRef]

J. L. Marroquin and M. Rivera, "Quadratic regularization functionals for phase unwrapping," J. Opt. Soc. Am. A 12, 2393-2400 (1995).

[CrossRef]

J. L. Marroquin, S. Mitter, and T. Poggio, "Probabilistic solution of ill-posed problems in computational vision," J. Am. Statist. Assoc. 82, 76-89 (1987).

[CrossRef]

S. Geman and D. E. McClure, "Bayesian image analysis methods: An application to single photon emission tomography," in Proceedings of the Statistical Computation Section (American Statistical Association, 1985), pp. 12-18.

J. L. Marroquin, S. Mitter, and T. Poggio, "Probabilistic solution of ill-posed problems in computational vision," J. Am. Statist. Assoc. 82, 76-89 (1987).

[CrossRef]

J. Nocedal and S. Wright, Numerical Optimization, Springer Series in Operational Research (Springer-Verlag, 1999).

[CrossRef]

J. L. Marroquin, S. Mitter, and T. Poggio, "Probabilistic solution of ill-posed problems in computational vision," J. Am. Statist. Assoc. 82, 76-89 (1987).

[CrossRef]

M. Proesmans, A. E. Pouwels, and L. Van Gool, "Couple geometry-driven diffusion equations for low level vision," in Geometry-Driven Diffusion in Computer Vision, B.M.ter Haar-Romeny, ed. (Kluwer Academic, 1994), pp. 191-228.

M. Proesmans, A. E. Pouwels, and L. Van Gool, "Couple geometry-driven diffusion equations for low level vision," in Geometry-Driven Diffusion in Computer Vision, B.M.ter Haar-Romeny, ed. (Kluwer Academic, 1994), pp. 191-228.

D. J. Pugh and K. Jackson, "Automatic gauge block measurement using multiple wavelength interferometer," in Contemporary Optical Instrument Design, Fabrication and Testing, H. Beckmann, J. Briers, and P. R. Yoder, eds., Proc. SPIE 656, 233-250 (1986).

M. J. Black and A. Rangarajan, "Unification of line process, outlier rejection, and robust statistics with application in early vision," Int. J. Comput. Vision 19, 57-91 (1996).

[CrossRef]

D. Geman and G. Reynolds, "Constrained restoration and recovery of discontinuities," IEEE Trans. Pattern Anal. Mach. Intell. 14, 367-383 (1992).

[CrossRef]

M. Rivera, "Robust phase demodulation of interferograms with open or closed fringes," J. Opt. Soc. Am. A 22, 1170-1175 (2005).

[CrossRef]

M. Rivera and J. L. Marroquin, "Half-quadratic cost functions for phase unwrapping," Opt. Lett. 29, 504-506 (2004).

[CrossRef]
[PubMed]

M. Rivera and J. L. Marroquin, "Efficient half-quadratic regularization with granularity control," J. Image Vision Comput. 21, 345-357 (2003).

[CrossRef]

M. Rivera and J. L. Marroquin, "Adaptive rest condition potentials: first and second order edge-preserving regularization," J. Comput. Vision Image Understand. 88, 76-93 (2002).

[CrossRef]

M. Rivera, J. L. Marroquin, S. Botello, and M. Servin, "A robust spatio-temporal quadrature filter for multi-phase stepping," Appl. Opt. 39, 284-292 (2000).

[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, and M. Servin, "Regularization methods for processing fringe-pattern images," Appl. Opt. 38, 788-795 (1999).

[CrossRef]

M. Rivera, J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Fast algorithm for integrating inconsistent gradient fields," Appl. Opt. 36, 8381-8390 (1997).

[CrossRef]

J. L. Marroquin and M. Rivera, "Quadratic regularization functionals for phase unwrapping," J. Opt. Soc. Am. A 12, 2393-2400 (1995).

[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, and M. Servin, "Regularization methods for processing fringe-pattern images," Appl. Opt. 38, 788-795 (1999).

[CrossRef]

J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Adaptive quadrature filters for multiphase stepping images," Opt. Lett. 23, 238-240 (1998).

[CrossRef]

M. Rivera, J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Fast algorithm for integrating inconsistent gradient fields," Appl. Opt. 36, 8381-8390 (1997).

[CrossRef]

J. Villa, J. A. Quiroga, and M. Servin, "Improved regularized phase tracking technique for the processing of squared-grating deflectograms," Appl. Opt. 39, 502-508 (2000).

[CrossRef]

M. Rivera, J. L. Marroquin, S. Botello, and M. Servin, "A robust spatio-temporal quadrature filter for multi-phase stepping," Appl. Opt. 39, 284-292 (2000).

[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, and M. Servin, "Regularization methods for processing fringe-pattern images," Appl. Opt. 38, 788-795 (1999).

[CrossRef]

J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Adaptive quadrature filters for multiphase stepping images," Opt. Lett. 23, 238-240 (1998).

[CrossRef]

M. Servin, J. L. Marroquin, D. Malacara, and F. J. Cuevas, "Phase unwrapping using a regularized phase tracking system," Appl. Opt. 37, 1917-1923 (1998).

[CrossRef]

J. L. Marroquin, J. E. Figueroa, and M. Servin, "Robust quadrature filter," J. Opt. Soc. Am. A 14, 779-791 (1997).

[CrossRef]

M. Rivera, J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Fast algorithm for integrating inconsistent gradient fields," Appl. Opt. 36, 8381-8390 (1997).

[CrossRef]

M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am 4, 156-160 (1982).

[CrossRef]

T. Tasdizen and R. Withaker, "Feature preserving variational smoothing of terrain data," in Proceedings of the Second IEEE Workshop on Variational, Geometric and Level Set Methods in Computer Vision (VLSM'03) (Institute of Electrical and Electronics Engineers, 2003), pp. 121-128.

M. Proesmans, A. E. Pouwels, and L. Van Gool, "Couple geometry-driven diffusion equations for low level vision," in Geometry-Driven Diffusion in Computer Vision, B.M.ter Haar-Romeny, ed. (Kluwer Academic, 1994), pp. 191-228.

T. Tasdizen and R. Withaker, "Feature preserving variational smoothing of terrain data," in Proceedings of the Second IEEE Workshop on Variational, Geometric and Level Set Methods in Computer Vision (VLSM'03) (Institute of Electrical and Electronics Engineers, 2003), pp. 121-128.

K. H. Womack, "Interferometric phase measurement using spatial synchronous detection," Opt. Eng. 23, 391-395 (1984).

J. Nocedal and S. Wright, Numerical Optimization, Springer Series in Operational Research (Springer-Verlag, 1999).

[CrossRef]

D. Geman and C. Yang, "Nonlinear image recovery with half-quadratic regularization," IEEE Trans. Image Process. 4, 932-946, (1995).

[CrossRef]
[PubMed]

M. Rivera, J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Fast algorithm for integrating inconsistent gradient fields," Appl. Opt. 36, 8381-8390 (1997).

[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, and M. Servin, "Regularization methods for processing fringe-pattern images," Appl. Opt. 38, 788-795 (1999).

[CrossRef]

J. Villa, J. A. Quiroga, and M. Servin, "Improved regularized phase tracking technique for the processing of squared-grating deflectograms," Appl. Opt. 39, 502-508 (2000).

[CrossRef]

R. Legarda-Saenz, W. Osten, and W. Juptner, "Improvement of the regularized phase tracking technique for the processing of nonnormalized fringe patterns," Appl. Opt. 41, 5519-5526 (2002).

[CrossRef]
[PubMed]

M. Servin, J. L. Marroquin, D. Malacara, and F. J. Cuevas, "Phase unwrapping using a regularized phase tracking system," Appl. Opt. 37, 1917-1923 (1998).

[CrossRef]

M. Rivera, J. L. Marroquin, S. Botello, and M. Servin, "A robust spatio-temporal quadrature filter for multi-phase stepping," Appl. Opt. 39, 284-292 (2000).

[CrossRef]

D. Geman and C. Yang, "Nonlinear image recovery with half-quadratic regularization," IEEE Trans. Image Process. 4, 932-946, (1995).

[CrossRef]
[PubMed]

D. Geman and G. Reynolds, "Constrained restoration and recovery of discontinuities," IEEE Trans. Pattern Anal. Mach. Intell. 14, 367-383 (1992).

[CrossRef]

M. J. Black and A. Rangarajan, "Unification of line process, outlier rejection, and robust statistics with application in early vision," Int. J. Comput. Vision 19, 57-91 (1996).

[CrossRef]

J. L. Marroquin, S. Mitter, and T. Poggio, "Probabilistic solution of ill-posed problems in computational vision," J. Am. Statist. Assoc. 82, 76-89 (1987).

[CrossRef]

M. Rivera and J. L. Marroquin, "Adaptive rest condition potentials: first and second order edge-preserving regularization," J. Comput. Vision Image Understand. 88, 76-93 (2002).

[CrossRef]

M. Rivera and J. L. Marroquin, "Efficient half-quadratic regularization with granularity control," J. Image Vision Comput. 21, 345-357 (2003).

[CrossRef]

M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am 4, 156-160 (1982).

[CrossRef]

J. L. Marroquin, J. E. Figueroa, and M. Servin, "Robust quadrature filter," J. Opt. Soc. Am. A 14, 779-791 (1997).

[CrossRef]

M. Rivera, "Robust phase demodulation of interferograms with open or closed fringes," J. Opt. Soc. Am. A 22, 1170-1175 (2005).

[CrossRef]

J. L. Marroquin and M. Rivera, "Quadratic regularization functionals for phase unwrapping," J. Opt. Soc. Am. A 12, 2393-2400 (1995).

[CrossRef]

J. M. Huntley, "An image processing system for the analysis of speckle photographs," J. Phys. E 19, 43-49 (1986).

[CrossRef]

K. H. Womack, "Interferometric phase measurement using spatial synchronous detection," Opt. Eng. 23, 391-395 (1984).

D. J. Pugh and K. Jackson, "Automatic gauge block measurement using multiple wavelength interferometer," in Contemporary Optical Instrument Design, Fabrication and Testing, H. Beckmann, J. Briers, and P. R. Yoder, eds., Proc. SPIE 656, 233-250 (1986).

G. Boensch, "Gauge blocks as length standards measured by interferometry or comparison: length definition, traceability chain, and limitations," in Recent Developments in Optical Gauge Block Metrology, J. E. Decker and N. Brown, eds., Proc. SPIE 3477, 199-210 (1998).

[CrossRef]

G. Boensch, "Automatic gauge block measurement by phase stepping interferometry with three laser wavelengths," in Recent Developments in Traceable Dimensional Measurements, J. E. Decker and N. Brown, eds., Proc. SPIE 4401, 1-10 (2001).

[CrossRef]

S. Geman and D. E. McClure, "Bayesian image analysis methods: An application to single photon emission tomography," in Proceedings of the Statistical Computation Section (American Statistical Association, 1985), pp. 12-18.

K. J. Gasvik, Optical Metrology, 3rd ed. (Wiley, 2002).

[CrossRef]

J. Nocedal and S. Wright, Numerical Optimization, Springer Series in Operational Research (Springer-Verlag, 1999).

[CrossRef]

M. Proesmans, A. E. Pouwels, and L. Van Gool, "Couple geometry-driven diffusion equations for low level vision," in Geometry-Driven Diffusion in Computer Vision, B.M.ter Haar-Romeny, ed. (Kluwer Academic, 1994), pp. 191-228.

T. Tasdizen and R. Withaker, "Feature preserving variational smoothing of terrain data," in Proceedings of the Second IEEE Workshop on Variational, Geometric and Level Set Methods in Computer Vision (VLSM'03) (Institute of Electrical and Electronics Engineers, 2003), pp. 121-128.