L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48, 141-148 (2010).

Zh. Xiang and Zh. Hong, “Three-dimensional profilometry based on Mexican hat wavelet transform,” Acta Optica Sinica 29, 197-202 (2009).

S. Li, X. Su, and W. Chen, “Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition,” J. Opt. Soc. Am. A 26, 1195-1201 (2009).

[CrossRef]

J. Weng, J. Zhong, and C. Hu, “Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform,” Appl. Opt. 48, 3308-3316 (2009).

[CrossRef]

H. Olkkoned, P. Pesola, J. Olkkonen, and H. Zhou, “Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis,” J. Neurosci. Methods 151, 106-113(2006).

[CrossRef]

M. A. Gdeisat, D. R. Burton, and M. J. Lalor, “Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform,” Appl. Opt. 45, 8722-8732 (2006).

[CrossRef]

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

[CrossRef]

J. Zhong and J. Weng, “Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry,” Appl. Opt. 43, 4993-4998 (2004).

[CrossRef]

K. Qian, “Windowed Fourier transform method for demodulation of carrier fringes,” Opt. Eng. 43, 1472-1473 (2004).

J. Zhong and J. Weng, “Dilating Gabor transform for the fringe analysis of 3-D shape measurement,” Opt. Eng. 43, 895-899 (2004).

L. M. Kaplan and R. Murenzi, “Pose estimation of SAR imagery using the two dimensional continuous wavelet transform,” Patt. Recog. Lett. 24, 2269-2280 (2003).

[CrossRef]

K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45-51 (2003).

[CrossRef]

D. Benitez, P. A. Gaydecki, A. Zaidi, and A. P. Fitzpatrick, “The use of the Hilbert transform in ECG signal analysis,” Comput. Biol. Med. 31, 399-406 (2001).

S. R. Messer, J. Agzarian, and D. Abbott, “Optimal wavelet denoising for phonocardiograms,” Microelectron. J. 32, 931-941 (2001).

[CrossRef]

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).

R. A. Carmona, W. L. Hwang, and B. Torresani, “Characterization of signals by the ridges of their wavelet transforms,” IEEE Trans. Signal Process. 45, 2586-2590 (1997).

[CrossRef]

S. Belaïd, D. Lebrun, and C. Özkul, “Application of two-dimensional wavelet transform to hologram analysis: visualization of glass fibers in a turbulent flame,” Opt. Eng. 36, 1947-1951 (1997).

J. P. Antoine and R. Murenzi, “Two-dimensional directional wavelets and the scale-angle representation,” Signal Proc. 52, 259-281 (1996).

[CrossRef]

J. P. Antoine and P. Vandergheynst, “Two-dimensional directional wavelets in image processing,” Int. J. Imaging Syst. Technol. 7, 152-165 (1996).

[CrossRef]

J. Li, X. Su, and L. Guo, “Improved Fourier transform profilometry for the automatic measurement of three-dimensional object shapes,” Opt. Eng. 29, 1439-1444 (1990).

S. R. Messer, J. Agzarian, and D. Abbott, “Optimal wavelet denoising for phonocardiograms,” Microelectron. J. 32, 931-941 (2001).

[CrossRef]

S. R. Messer, J. Agzarian, and D. Abbott, “Optimal wavelet denoising for phonocardiograms,” Microelectron. J. 32, 931-941 (2001).

[CrossRef]

J. P. Antoine and R. Murenzi, “Two-dimensional directional wavelets and the scale-angle representation,” Signal Proc. 52, 259-281 (1996).

[CrossRef]

J. P. Antoine and P. Vandergheynst, “Two-dimensional directional wavelets in image processing,” Int. J. Imaging Syst. Technol. 7, 152-165 (1996).

[CrossRef]

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48, 141-148 (2010).

S. Belaïd, D. Lebrun, and C. Özkul, “Application of two-dimensional wavelet transform to hologram analysis: visualization of glass fibers in a turbulent flame,” Opt. Eng. 36, 1947-1951 (1997).

D. Benitez, P. A. Gaydecki, A. Zaidi, and A. P. Fitzpatrick, “The use of the Hilbert transform in ECG signal analysis,” Comput. Biol. Med. 31, 399-406 (2001).

M. Kutter, S. K. Bhattacharjee, and T. Ebrahimi, “Towards second generation watermarking schemes,” in *Proceedings of IEEE Conference on Image Processing* (IEEE, 1999), pp. 320-323.

A. Z. Abid, M. A. Gdeisat, and D. R. Burton, “Spatial fringe pattern analysis using the two-dimensional continuous wavelet transform employing a cost function,” Appl. Opt. 46, 6120-6126 (2007).

[CrossRef]

M. A. Gdeisat, D. R. Burton, and M. J. Lalor, “Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform,” Appl. Opt. 45, 8722-8732 (2006).

[CrossRef]

R. A. Carmona, W. L. Hwang, and B. Torresani, “Characterization of signals by the ridges of their wavelet transforms,” IEEE Trans. Signal Process. 45, 2586-2590 (1997).

[CrossRef]

S. Li, X. Su, and W. Chen, “Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition,” J. Opt. Soc. Am. A 26, 1195-1201 (2009).

[CrossRef]

S. Li, W. Chen, and X. Su, “Reliability-guided phase unwrapping in wavelet-transform profilometry,” Appl. Opt. 47, 3369-3377 (2008).

[CrossRef]

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).

M. Kutter, S. K. Bhattacharjee, and T. Ebrahimi, “Towards second generation watermarking schemes,” in *Proceedings of IEEE Conference on Image Processing* (IEEE, 1999), pp. 320-323.

D. Benitez, P. A. Gaydecki, A. Zaidi, and A. P. Fitzpatrick, “The use of the Hilbert transform in ECG signal analysis,” Comput. Biol. Med. 31, 399-406 (2001).

D. Benitez, P. A. Gaydecki, A. Zaidi, and A. P. Fitzpatrick, “The use of the Hilbert transform in ECG signal analysis,” Comput. Biol. Med. 31, 399-406 (2001).

A. Z. Abid, M. A. Gdeisat, and D. R. Burton, “Spatial fringe pattern analysis using the two-dimensional continuous wavelet transform employing a cost function,” Appl. Opt. 46, 6120-6126 (2007).

[CrossRef]

M. A. Gdeisat, D. R. Burton, and M. J. Lalor, “Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform,” Appl. Opt. 45, 8722-8732 (2006).

[CrossRef]

J. Li, X. Su, and L. Guo, “Improved Fourier transform profilometry for the automatic measurement of three-dimensional object shapes,” Opt. Eng. 29, 1439-1444 (1990).

Zh. Xiang and Zh. Hong, “Three-dimensional profilometry based on Mexican hat wavelet transform,” Acta Optica Sinica 29, 197-202 (2009).

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48, 141-148 (2010).

R. A. Carmona, W. L. Hwang, and B. Torresani, “Characterization of signals by the ridges of their wavelet transforms,” IEEE Trans. Signal Process. 45, 2586-2590 (1997).

[CrossRef]

K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45-51 (2003).

[CrossRef]

L. M. Kaplan and R. Murenzi, “Pose estimation of SAR imagery using the two dimensional continuous wavelet transform,” Patt. Recog. Lett. 24, 2269-2280 (2003).

[CrossRef]

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48, 141-148 (2010).

Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: principles, applications and implementations,” Opt. Lasers Eng. 45, 304-317 (2007).

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

[CrossRef]

J. F. Kirby, “Which wavelet best reproduces the Fourier power spectrum?,” Comput. Geosci. 31, 846-864 (2005).

[CrossRef]

K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45-51 (2003).

[CrossRef]

M. Kutter, S. K. Bhattacharjee, and T. Ebrahimi, “Towards second generation watermarking schemes,” in *Proceedings of IEEE Conference on Image Processing* (IEEE, 1999), pp. 320-323.

S. Belaïd, D. Lebrun, and C. Özkul, “Application of two-dimensional wavelet transform to hologram analysis: visualization of glass fibers in a turbulent flame,” Opt. Eng. 36, 1947-1951 (1997).

J. Li, X. Su, and L. Guo, “Improved Fourier transform profilometry for the automatic measurement of three-dimensional object shapes,” Opt. Eng. 29, 1439-1444 (1990).

S. Li, X. Su, and W. Chen, “Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition,” J. Opt. Soc. Am. A 26, 1195-1201 (2009).

[CrossRef]

S. Li, W. Chen, and X. Su, “Reliability-guided phase unwrapping in wavelet-transform profilometry,” Appl. Opt. 47, 3369-3377 (2008).

[CrossRef]

S. R. Messer, J. Agzarian, and D. Abbott, “Optimal wavelet denoising for phonocardiograms,” Microelectron. J. 32, 931-941 (2001).

[CrossRef]

L. M. Kaplan and R. Murenzi, “Pose estimation of SAR imagery using the two dimensional continuous wavelet transform,” Patt. Recog. Lett. 24, 2269-2280 (2003).

[CrossRef]

J. P. Antoine and R. Murenzi, “Two-dimensional directional wavelets and the scale-angle representation,” Signal Proc. 52, 259-281 (1996).

[CrossRef]

A. A. Nabout and B. Tibken, “Object shape recognition using Mexican hat wavelet descriptors,” in *Proceedings of IEEE Conference on Control and Automation* (IEEE, 2007), pp. 1313-1318.

K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45-51 (2003).

[CrossRef]

H. Olkkoned, P. Pesola, J. Olkkonen, and H. Zhou, “Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis,” J. Neurosci. Methods 151, 106-113(2006).

[CrossRef]

H. Olkkoned, P. Pesola, J. Olkkonen, and H. Zhou, “Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis,” J. Neurosci. Methods 151, 106-113(2006).

[CrossRef]

K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45-51 (2003).

[CrossRef]

S. Belaïd, D. Lebrun, and C. Özkul, “Application of two-dimensional wavelet transform to hologram analysis: visualization of glass fibers in a turbulent flame,” Opt. Eng. 36, 1947-1951 (1997).

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48, 141-148 (2010).

H. Olkkoned, P. Pesola, J. Olkkonen, and H. Zhou, “Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis,” J. Neurosci. Methods 151, 106-113(2006).

[CrossRef]

K. Qian, “Windowed Fourier transform method for demodulation of carrier fringes,” Opt. Eng. 43, 1472-1473 (2004).

S. Li, X. Su, and W. Chen, “Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition,” J. Opt. Soc. Am. A 26, 1195-1201 (2009).

[CrossRef]

S. Li, W. Chen, and X. Su, “Reliability-guided phase unwrapping in wavelet-transform profilometry,” Appl. Opt. 47, 3369-3377 (2008).

[CrossRef]

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).

J. Li, X. Su, and L. Guo, “Improved Fourier transform profilometry for the automatic measurement of three-dimensional object shapes,” Opt. Eng. 29, 1439-1444 (1990).

A. A. Nabout and B. Tibken, “Object shape recognition using Mexican hat wavelet descriptors,” in *Proceedings of IEEE Conference on Control and Automation* (IEEE, 2007), pp. 1313-1318.

R. A. Carmona, W. L. Hwang, and B. Torresani, “Characterization of signals by the ridges of their wavelet transforms,” IEEE Trans. Signal Process. 45, 2586-2590 (1997).

[CrossRef]

K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45-51 (2003).

[CrossRef]

J. P. Antoine and P. Vandergheynst, “Two-dimensional directional wavelets in image processing,” Int. J. Imaging Syst. Technol. 7, 152-165 (1996).

[CrossRef]

J. Weng, J. Zhong, and C. Hu, “Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform,” Appl. Opt. 48, 3308-3316 (2009).

[CrossRef]

J. Zhong and J. Weng, “Phase retrieval of optical fringe patterns from the ridge of a wavelet transform,” Opt. Lett. 30, 2560-2562 (2005).

[CrossRef]

J. Zhong and J. Weng, “Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry,” Appl. Opt. 43, 4993-4998 (2004).

[CrossRef]

J. Zhong and J. Weng, “Dilating Gabor transform for the fringe analysis of 3-D shape measurement,” Opt. Eng. 43, 895-899 (2004).

Zh. Xiang and Zh. Hong, “Three-dimensional profilometry based on Mexican hat wavelet transform,” Acta Optica Sinica 29, 197-202 (2009).

D. Benitez, P. A. Gaydecki, A. Zaidi, and A. P. Fitzpatrick, “The use of the Hilbert transform in ECG signal analysis,” Comput. Biol. Med. 31, 399-406 (2001).

J. Weng, J. Zhong, and C. Hu, “Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform,” Appl. Opt. 48, 3308-3316 (2009).

[CrossRef]

J. Zhong and J. Weng, “Phase retrieval of optical fringe patterns from the ridge of a wavelet transform,” Opt. Lett. 30, 2560-2562 (2005).

[CrossRef]

J. Zhong and J. Weng, “Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry,” Appl. Opt. 43, 4993-4998 (2004).

[CrossRef]

J. Zhong and J. Weng, “Dilating Gabor transform for the fringe analysis of 3-D shape measurement,” Opt. Eng. 43, 895-899 (2004).

H. Olkkoned, P. Pesola, J. Olkkonen, and H. Zhou, “Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis,” J. Neurosci. Methods 151, 106-113(2006).

[CrossRef]

Zh. Xiang and Zh. Hong, “Three-dimensional profilometry based on Mexican hat wavelet transform,” Acta Optica Sinica 29, 197-202 (2009).

M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement 3-D object shapes,” Appl. Opt. 22, 3977-3982 (1983).

[CrossRef]

W. L. Anderson and H. Diao, “Two-dimensional wavelet transform and application to holographic particle velocimetry,” Appl. Opt. 34, 249-255 (1995).

[CrossRef]

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

[CrossRef]

J. Zhong and J. Weng, “Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry,” Appl. Opt. 43, 4993-4998 (2004).

[CrossRef]

M. A. Gdeisat, D. R. Burton, and M. J. Lalor, “Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform,” Appl. Opt. 45, 8722-8732 (2006).

[CrossRef]

A. Z. Abid, M. A. Gdeisat, and D. R. Burton, “Spatial fringe pattern analysis using the two-dimensional continuous wavelet transform employing a cost function,” Appl. Opt. 46, 6120-6126 (2007).

[CrossRef]

S. Li, W. Chen, and X. Su, “Reliability-guided phase unwrapping in wavelet-transform profilometry,” Appl. Opt. 47, 3369-3377 (2008).

[CrossRef]

J. Weng, J. Zhong, and C. Hu, “Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform,” Appl. Opt. 48, 3308-3316 (2009).

[CrossRef]

D. Benitez, P. A. Gaydecki, A. Zaidi, and A. P. Fitzpatrick, “The use of the Hilbert transform in ECG signal analysis,” Comput. Biol. Med. 31, 399-406 (2001).

J. F. Kirby, “Which wavelet best reproduces the Fourier power spectrum?,” Comput. Geosci. 31, 846-864 (2005).

[CrossRef]

K. Kadooka, K. Kunoo, N. Uda, K. Ono, and T. Nagayasu, “Strain analysis for moiré interferometry using the two-dimensional continuous wavelet transform,” Exp. Mech. 43, 45-51 (2003).

[CrossRef]

R. A. Carmona, W. L. Hwang, and B. Torresani, “Characterization of signals by the ridges of their wavelet transforms,” IEEE Trans. Signal Process. 45, 2586-2590 (1997).

[CrossRef]

J. P. Antoine and P. Vandergheynst, “Two-dimensional directional wavelets in image processing,” Int. J. Imaging Syst. Technol. 7, 152-165 (1996).

[CrossRef]

H. Olkkoned, P. Pesola, J. Olkkonen, and H. Zhou, “Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis,” J. Neurosci. Methods 151, 106-113(2006).

[CrossRef]

S. R. Messer, J. Agzarian, and D. Abbott, “Optimal wavelet denoising for phonocardiograms,” Microelectron. J. 32, 931-941 (2001).

[CrossRef]

K. Qian, “Windowed Fourier transform method for demodulation of carrier fringes,” Opt. Eng. 43, 1472-1473 (2004).

J. Zhong and J. Weng, “Dilating Gabor transform for the fringe analysis of 3-D shape measurement,” Opt. Eng. 43, 895-899 (2004).

J. Li, X. Su, and L. Guo, “Improved Fourier transform profilometry for the automatic measurement of three-dimensional object shapes,” Opt. Eng. 29, 1439-1444 (1990).

S. Belaïd, D. Lebrun, and C. Özkul, “Application of two-dimensional wavelet transform to hologram analysis: visualization of glass fibers in a turbulent flame,” Opt. Eng. 36, 1947-1951 (1997).

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48, 141-148 (2010).

Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: principles, applications and implementations,” Opt. Lasers Eng. 45, 304-317 (2007).

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).

L. M. Kaplan and R. Murenzi, “Pose estimation of SAR imagery using the two dimensional continuous wavelet transform,” Patt. Recog. Lett. 24, 2269-2280 (2003).

[CrossRef]

J. P. Antoine and R. Murenzi, “Two-dimensional directional wavelets and the scale-angle representation,” Signal Proc. 52, 259-281 (1996).

[CrossRef]

Yet Another Wavelet Toolbox (YAWTB) home page (accessed in April 2007), http://www.fyma.ucl.ac.be/projects/yawtb/.

M. Kutter, S. K. Bhattacharjee, and T. Ebrahimi, “Towards second generation watermarking schemes,” in *Proceedings of IEEE Conference on Image Processing* (IEEE, 1999), pp. 320-323.

A. A. Nabout and B. Tibken, “Object shape recognition using Mexican hat wavelet descriptors,” in *Proceedings of IEEE Conference on Control and Automation* (IEEE, 2007), pp. 1313-1318.