M. Kindelan, F. Bernal, P. González-Rodríguez, and M. Moscoso, “Application of the RBF meshless method to the solution of the radiative transport equation,” J. Comput. Phys. 229, 1897–1908 (2010).

[CrossRef]

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

C. Tang, L. Wang, S. Yan, J. Wu, L. Cheng, and C. Li, “Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation,” Appl. Opt. 49, 4545–4553 (2010).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, T. Gao, Z. Wang, and K. Tang, “The oriented-couple partial differential equations for filtering in wrapped phase patterns,” Opt. Express 17, 5606–5617 (2009).

[CrossRef]
[PubMed]

H. Wang, Q. Kemao, W. Gao, S. H. Soon, and F. Lin, “Fringe pattern denoising using coherence enhancing diffusion,” Opt. Lett. 34, 1141–1143 (2009).

[CrossRef]
[PubMed]

Q. Yu, X. Sun, X. Liu, X. Ding, and Z. Qiu, “Removing speckle noise and extracting the skeletons from a single speckle fringe pattern by spin filtering with curved-surface windows,” Opt. Eng. 42, 68–74 (2003).

[CrossRef]

F. J. Cuevas, J. H. Sossa-Azuela, and M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm,” Opt. Commun. 203, 213–223(2002).

[CrossRef]

G. H. Kaufmann and G. E. Galizzi, “Speckle noise reduction in television holography fringes using wavelet thresholding,” Opt. Eng. 35, 9–14 (1996).

[CrossRef]

C. B. Barber, D. P. Dobkin, and H. T. Huhdanpaa, “The quickhull algorithm for convex hulls,” ACM Trans. Math. Softw. 22, 469–483 (1996).

[CrossRef]

Q. Yu, X. Liu, and K. Andresen, “New spin filters for interferometric fringe patterns and grating patterns,” Appl. Opt. 33, 3705–3711 (1994).

[CrossRef]
[PubMed]

M. Servin, D. Malacara, and R. Rodriguez-Vera, “Phase-locked-loop interferometry applied to aspheric testing with a computer-stored compensator,” Appl. Opt. 33, 2589–2595(1994).

[CrossRef]
[PubMed]

Z. Huang, “Fringe skeleton extraction using adaptive refining,” Opt. Lasers Eng. 18, 281–295 (1993).

[CrossRef]

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

C. B. Barber, D. P. Dobkin, and H. T. Huhdanpaa, “The quickhull algorithm for convex hulls,” ACM Trans. Math. Softw. 22, 469–483 (1996).

[CrossRef]

M. Kindelan, F. Bernal, P. González-Rodríguez, and M. Moscoso, “Application of the RBF meshless method to the solution of the radiative transport equation,” J. Comput. Phys. 229, 1897–1908 (2010).

[CrossRef]

M. D. Buhmann, Radial Basis Functions: Theory and Implementations (Cambridge University, 2003).

[CrossRef]

M. D. Buhmann, “Radial basis functions,” in Acta Numerica (Cambridge University, 2000), pp. 1–38.

F. J. Cuevas, J. H. Sossa-Azuela, and M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm,” Opt. Commun. 203, 213–223(2002).

[CrossRef]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).

[CrossRef]

Q. Yu, X. Sun, X. Liu, X. Ding, and Z. Qiu, “Removing speckle noise and extracting the skeletons from a single speckle fringe pattern by spin filtering with curved-surface windows,” Opt. Eng. 42, 68–74 (2003).

[CrossRef]

C. B. Barber, D. P. Dobkin, and H. T. Huhdanpaa, “The quickhull algorithm for convex hulls,” ACM Trans. Math. Softw. 22, 469–483 (1996).

[CrossRef]

G. H. Kaufmann and G. E. Galizzi, “Speckle noise reduction in television holography fringes using wavelet thresholding,” Opt. Eng. 35, 9–14 (1996).

[CrossRef]

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, T. Gao, Z. Wang, and K. Tang, “The oriented-couple partial differential equations for filtering in wrapped phase patterns,” Opt. Express 17, 5606–5617 (2009).

[CrossRef]
[PubMed]

M. Kindelan, F. Bernal, P. González-Rodríguez, and M. Moscoso, “Application of the RBF meshless method to the solution of the radiative transport equation,” J. Comput. Phys. 229, 1897–1908 (2010).

[CrossRef]

C. Tang, L. Han, H. Ren, T. Gao, Z. Wang, and K. Tang, “The oriented-couple partial differential equations for filtering in wrapped phase patterns,” Opt. Express 17, 5606–5617 (2009).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, D. Zhou, Y. Chang, X. Wang, and X. Cui, “Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes,” Opt. Lett. 33, 2179–2181 (2008).

[CrossRef]
[PubMed]

Z. Huang, “Fringe skeleton extraction using adaptive refining,” Opt. Lasers Eng. 18, 281–295 (1993).

[CrossRef]

C. B. Barber, D. P. Dobkin, and H. T. Huhdanpaa, “The quickhull algorithm for convex hulls,” ACM Trans. Math. Softw. 22, 469–483 (1996).

[CrossRef]

G. H. Kaufmann and G. E. Galizzi, “Speckle noise reduction in television holography fringes using wavelet thresholding,” Opt. Eng. 35, 9–14 (1996).

[CrossRef]

H. Wang, Q. Kemao, W. Gao, S. H. Soon, and F. Lin, “Fringe pattern denoising using coherence enhancing diffusion,” Opt. Lett. 34, 1141–1143 (2009).

[CrossRef]
[PubMed]

Q. Kemao, “Windowed Fourier transform for fringe pattern analysis,” Appl. Opt. 43, 2695–2702 (2004).

[CrossRef]
[PubMed]

M. Kindelan, F. Bernal, P. González-Rodríguez, and M. Moscoso, “Application of the RBF meshless method to the solution of the radiative transport equation,” J. Comput. Phys. 229, 1897–1908 (2010).

[CrossRef]

C. Tang, W. Lu, S. Chen, Z. Zhang, B. Li, W. Wang, and Lin Han, “Denoising by coupled partial differential equations and extracting phase by backpropagation neural networks for electronic speckle pattern interferometry,” Appl. Opt. 46, 7475–7484 (2007).

[CrossRef]
[PubMed]

C. Tang, F. Zhang, B. Li, and H. Yan, “Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and δ-mollification method of phase map,” Appl. Opt. 45, 7392–7400 (2006).

[CrossRef]
[PubMed]

Q. Yu, X. Sun, X. Liu, X. Ding, and Z. Qiu, “Removing speckle noise and extracting the skeletons from a single speckle fringe pattern by spin filtering with curved-surface windows,” Opt. Eng. 42, 68–74 (2003).

[CrossRef]

Q. Yu, X. Liu, and K. Andresen, “New spin filters for interferometric fringe patterns and grating patterns,” Appl. Opt. 33, 3705–3711 (1994).

[CrossRef]
[PubMed]

M. Servin, D. Malacara, and R. Rodriguez-Vera, “Phase-locked-loop interferometry applied to aspheric testing with a computer-stored compensator,” Appl. Opt. 33, 2589–2595(1994).

[CrossRef]
[PubMed]

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing, 2nd ed. (CRC, 2005).

[CrossRef]

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing, 2nd ed. (CRC, 2005).

[CrossRef]

M. Kindelan, F. Bernal, P. González-Rodríguez, and M. Moscoso, “Application of the RBF meshless method to the solution of the radiative transport equation,” J. Comput. Phys. 229, 1897–1908 (2010).

[CrossRef]

A. Neimark, “Investigating filtering methods for the denoising and contrast enhancement, and evenual skeletonization, of ESPI images,” http://mesoscopic.mines.edu/mediawiki/images/d/de/Project_Report_Neimark.pdf (2009).

Q. Yu, X. Sun, X. Liu, X. Ding, and Z. Qiu, “Removing speckle noise and extracting the skeletons from a single speckle fringe pattern by spin filtering with curved-surface windows,” Opt. Eng. 42, 68–74 (2003).

[CrossRef]

C. Tang, L. Han, H. Ren, T. Gao, Z. Wang, and K. Tang, “The oriented-couple partial differential equations for filtering in wrapped phase patterns,” Opt. Express 17, 5606–5617 (2009).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, D. Zhou, Y. Chang, X. Wang, and X. Cui, “Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes,” Opt. Lett. 33, 2179–2181 (2008).

[CrossRef]
[PubMed]

F. J. Cuevas, J. H. Sossa-Azuela, and M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm,” Opt. Commun. 203, 213–223(2002).

[CrossRef]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).

[CrossRef]

M. Servin, D. Malacara, and R. Rodriguez-Vera, “Phase-locked-loop interferometry applied to aspheric testing with a computer-stored compensator,” Appl. Opt. 33, 2589–2595(1994).

[CrossRef]
[PubMed]

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing, 2nd ed. (CRC, 2005).

[CrossRef]

F. J. Cuevas, J. H. Sossa-Azuela, and M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm,” Opt. Commun. 203, 213–223(2002).

[CrossRef]

Q. Yu, X. Sun, X. Liu, X. Ding, and Z. Qiu, “Removing speckle noise and extracting the skeletons from a single speckle fringe pattern by spin filtering with curved-surface windows,” Opt. Eng. 42, 68–74 (2003).

[CrossRef]

C. Tang, L. Wang, S. Yan, J. Wu, L. Cheng, and C. Li, “Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation,” Appl. Opt. 49, 4545–4553 (2010).

[CrossRef]
[PubMed]

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, T. Gao, Z. Wang, and K. Tang, “The oriented-couple partial differential equations for filtering in wrapped phase patterns,” Opt. Express 17, 5606–5617 (2009).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, D. Zhou, Y. Chang, X. Wang, and X. Cui, “Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes,” Opt. Lett. 33, 2179–2181 (2008).

[CrossRef]
[PubMed]

C. Tang, W. Lu, S. Chen, Z. Zhang, B. Li, W. Wang, and Lin Han, “Denoising by coupled partial differential equations and extracting phase by backpropagation neural networks for electronic speckle pattern interferometry,” Appl. Opt. 46, 7475–7484 (2007).

[CrossRef]
[PubMed]

C. Tang, F. Zhang, B. Li, and H. Yan, “Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and δ-mollification method of phase map,” Appl. Opt. 45, 7392–7400 (2006).

[CrossRef]
[PubMed]

C. Tang, L. Wang, S. Yan, J. Wu, L. Cheng, and C. Li, “Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation,” Appl. Opt. 49, 4545–4553 (2010).

[CrossRef]
[PubMed]

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, T. Gao, Z. Wang, and K. Tang, “The oriented-couple partial differential equations for filtering in wrapped phase patterns,” Opt. Express 17, 5606–5617 (2009).

[CrossRef]
[PubMed]

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

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

C. Tang, L. Wang, S. Yan, J. Wu, L. Cheng, and C. Li, “Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation,” Appl. Opt. 49, 4545–4553 (2010).

[CrossRef]
[PubMed]

C. Tang, L. Wang, S. Yan, J. Wu, L. Cheng, and C. Li, “Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation,” Appl. Opt. 49, 4545–4553 (2010).

[CrossRef]
[PubMed]

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

Q. Yu, X. Sun, X. Liu, X. Ding, and Z. Qiu, “Removing speckle noise and extracting the skeletons from a single speckle fringe pattern by spin filtering with curved-surface windows,” Opt. Eng. 42, 68–74 (2003).

[CrossRef]

Q. Yu, X. Liu, and K. Andresen, “New spin filters for interferometric fringe patterns and grating patterns,” Appl. Opt. 33, 3705–3711 (1994).

[CrossRef]
[PubMed]

C. B. Barber, D. P. Dobkin, and H. T. Huhdanpaa, “The quickhull algorithm for convex hulls,” ACM Trans. Math. Softw. 22, 469–483 (1996).

[CrossRef]

C. Tang, L. Wang, S. Yan, J. Wu, L. Cheng, and C. Li, “Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation,” Appl. Opt. 49, 4545–4553 (2010).

[CrossRef]
[PubMed]

C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).

[CrossRef]
[PubMed]

C. Quan, C. J. Tay, F. Yang, and X. He, “Phase extraction from a single fringe pattern based on guidance of an extreme map,” Appl. Opt. 44, 4814–4821 (2005).

[CrossRef]
[PubMed]

C. Tang, F. Zhang, B. Li, and H. Yan, “Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and δ-mollification method of phase map,” Appl. Opt. 45, 7392–7400 (2006).

[CrossRef]
[PubMed]

C. Tang, W. Lu, S. Chen, Z. Zhang, B. Li, W. Wang, and Lin Han, “Denoising by coupled partial differential equations and extracting phase by backpropagation neural networks for electronic speckle pattern interferometry,” Appl. Opt. 46, 7475–7484 (2007).

[CrossRef]
[PubMed]

M. Servin, D. Malacara, and R. Rodriguez-Vera, “Phase-locked-loop interferometry applied to aspheric testing with a computer-stored compensator,” Appl. Opt. 33, 2589–2595(1994).

[CrossRef]
[PubMed]

Q. Yu, X. Liu, and K. Andresen, “New spin filters for interferometric fringe patterns and grating patterns,” Appl. Opt. 33, 3705–3711 (1994).

[CrossRef]
[PubMed]

Q. Kemao, “Windowed Fourier transform for fringe pattern analysis,” Appl. Opt. 43, 2695–2702 (2004).

[CrossRef]
[PubMed]

M. Kindelan, F. Bernal, P. González-Rodríguez, and M. Moscoso, “Application of the RBF meshless method to the solution of the radiative transport equation,” J. Comput. Phys. 229, 1897–1908 (2010).

[CrossRef]

F. J. Cuevas, J. H. Sossa-Azuela, and M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm,” Opt. Commun. 203, 213–223(2002).

[CrossRef]

Q. Yu, X. Sun, X. Liu, X. Ding, and Z. Qiu, “Removing speckle noise and extracting the skeletons from a single speckle fringe pattern by spin filtering with curved-surface windows,” Opt. Eng. 42, 68–74 (2003).

[CrossRef]

G. H. Kaufmann and G. E. Galizzi, “Speckle noise reduction in television holography fringes using wavelet thresholding,” Opt. Eng. 35, 9–14 (1996).

[CrossRef]

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

Z. Huang, “Fringe skeleton extraction using adaptive refining,” Opt. Lasers Eng. 18, 281–295 (1993).

[CrossRef]

H. Wang, Q. Kemao, W. Gao, S. H. Soon, and F. Lin, “Fringe pattern denoising using coherence enhancing diffusion,” Opt. Lett. 34, 1141–1143 (2009).

[CrossRef]
[PubMed]

C. Tang, L. Han, H. Ren, D. Zhou, Y. Chang, X. Wang, and X. Cui, “Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes,” Opt. Lett. 33, 2179–2181 (2008).

[CrossRef]
[PubMed]

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing, 2nd ed. (CRC, 2005).

[CrossRef]

A. Neimark, “Investigating filtering methods for the denoising and contrast enhancement, and evenual skeletonization, of ESPI images,” http://mesoscopic.mines.edu/mediawiki/images/d/de/Project_Report_Neimark.pdf (2009).

M. D. Buhmann, “Radial basis functions,” in Acta Numerica (Cambridge University, 2000), pp. 1–38.

M. D. Buhmann, Radial Basis Functions: Theory and Implementations (Cambridge University, 2003).

[CrossRef]