P. Couteron, N. Barbier, and D. Gautier, "Textural ordination based on Fourier spectral decomposition: a method to analyze and compare landscape patterns," Landscape Ecol. 21, 555-567 (2006).

J. Flusser and T. Suk, "Rotation moment invariants for recognition of symmetric objects," IEEE Trans. Image Process. 15, 3784-3790 (2006).

K. Jafari-Khouzani and H. Soltanian-Zadeh, "Radon transform orientation estimation for rotation invariant texture analysis," IEEE Trans. Pattern Anal. Mach. Intell. 27, 1004-1008 (2005).

P. Campisi, G. Panci, and G. Scarano, "Robust rotation-invariant texture classification using a model based approach," IEEE Trans. Image Process. 13, 782-791 (2004).

B. Ye and J. Peng, "Invariance analysis of improved Zernike moments," J. Opt. A, Pure Appl. Opt. 4, 606-614 (2002).

J. Flusser, "On the independence of rotation moment invariants," Pattern Recogn. 30, 1405-1410 (2000).

X. Tang and W. K. Stewart, "Optical and sonar image classification: wavelet packet transforms vs. Fourier transforms," Comput. Vis. Image Underst. 79, 25-46 (2000).

T. Randen and J. H. Husøy, "Filtering for texture classification: a comparative study," IEEE Trans. Pattern Anal. Mach. Intell. 21, 291-310 (1999).

[CrossRef]

J. Flusser and B. Zitova, "Combined invariants to linear filtering and rotation," Int. J. Pattern Recognit. Artif. Intell. 13, 1123-1135 (1999).

L. Wang and G. Healey, "Using Zernike moments for the illumination and geometry invariant classification of multispectral texture," IEEE Trans. Image Process. 7, 196-203 (1998).

[CrossRef]

R. Porter and N. Canagarajah, "Robust rotation-invariant texture classification: wavelet, Gabor filter and GMRF based schemes," IEE Proc. Vision Image Signal Process. 144, 108-188 (1997).

[CrossRef]

H. Lin, L. Wang, and S. Yang, "Extracting periodicity of a regular texture based on autocorrelation functions," Pattern Recogn. Lett. 18, 433-443 (1997).

D. Dunn, W. E. Higgins, and J. Wakeley, "Texture segmentation using 2-D Gabor elementary functions," IEEE Trans. Pattern Anal. Mach. Intell. 16, 130-149 (1994).

[CrossRef]

J. Flusser and T. Suk, "Pattern recognition by affine moment invariants," Pattern Recogn. 26, 167-174 (1993).

[CrossRef]

A. Khotanzad and Y. H. Hong, "Invariant image recognition by Zernike moments," IEEE Trans. Pattern Anal. Mach. Intell. 12, 489-497 (1990).

[CrossRef]

S. S. Liu and M. E. Jernigan, "Texture analysis and discrimination in additive noise," Comput. Vis. Graph. Image Process. 49, 52-67 (1990).

[CrossRef]

A. C. Bovik, M. Clark, and W. S. Geisler, "Multichannel texture analysis using localized spatial filters," IEEE Trans. Pattern Anal. Mach. Intell. 12, 55-73 (1990).

[CrossRef]

C. H. Teh and R. T. Chin, "On image analysis by the methods of moments," IEEE Trans. Pattern Anal. Mach. Intell. 10, 496-513 (1988).

[CrossRef]

Y. Ricard and R. J. Blakely, "A method to minimize edge effects in two-dimensional discrete Fourier transforms," Geophysics 53, 1113-1117 (1988).

[CrossRef]

Y. S. Abu-Mostafa and D. Psaltis, "Recognitive aspects of moment invariants," IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6, 698-806 (1984).

B. Julesz, "A theory of preattentive texture discrimination based on first-order statistics of textons," Biol. Cybern. 41, 131-138 (1981).

B. Julesz, "Spatial nonlinearities in the instantaneous perception of textures with identical power spectra," Philos. Trans. R. Soc. London, Ser. B 29, 83-94 (1980).

R. W. Conners and C. A. Harlow, "A theoretical comparison of texture algorithms," IEEE Trans. Pattern Anal. Mach. Intell. PAM-2, 741-755 (1980).

M. R. Teague, "Image analysis via the general theory of moments," J. Opt. Soc. Am. 70, 920-930 (1980).

R. M. Haralick, "Statistical and structural approaches to texture," in Proc. IEEE 67, 786-804 (1979).

J. S. Weszka, C. R. Dyer, and A. Rosenfeld, "A comparative study of texture measures for terrain classification," IEEE Trans. Syst. Man Cybern. 6, 269-285 (1976).

M. K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inf. Theory 49, 179-187 (1962).

B. Julesz, "Visual pattern discrimination," IEEE Trans. Inf. Theory 8, 84-92 (1962).

Y. S. Abu-Mostafa and D. Psaltis, "Recognitive aspects of moment invariants," IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6, 698-806 (1984).

G. Amayeh, A. Erol, G. Bebis, and M. Nicolescu, "An Accurate and efficient computation of high order Zernike moments," in International Symposium on Visual Computing (Springer, 2005), pp. 462-469.

R. Bajcsy, "Computer description of textured surfaces," in Proceedings of the Third International Joint Conference on Artificial Intelligence (International Joint Conference on Artificial Intelligence, 1973), pp. 572-579.

S. Fountain, T. Tan, and K. Baker, "A comparative study of rotation invariant classification and retrieval of texture images," in Proceedings of the British Machine Vision Conference 1998 (British Machine Vision Association, 1998), pp. 266-275.

P. Couteron, N. Barbier, and D. Gautier, "Textural ordination based on Fourier spectral decomposition: a method to analyze and compare landscape patterns," Landscape Ecol. 21, 555-567 (2006).

G. Amayeh, A. Erol, G. Bebis, and M. Nicolescu, "An Accurate and efficient computation of high order Zernike moments," in International Symposium on Visual Computing (Springer, 2005), pp. 462-469.

Y. Ricard and R. J. Blakely, "A method to minimize edge effects in two-dimensional discrete Fourier transforms," Geophysics 53, 1113-1117 (1988).

[CrossRef]

A. C. Bovik, M. Clark, and W. S. Geisler, "Multichannel texture analysis using localized spatial filters," IEEE Trans. Pattern Anal. Mach. Intell. 12, 55-73 (1990).

[CrossRef]

P. Campisi, G. Panci, and G. Scarano, "Robust rotation-invariant texture classification using a model based approach," IEEE Trans. Image Process. 13, 782-791 (2004).

R. Porter and N. Canagarajah, "Robust rotation-invariant texture classification: wavelet, Gabor filter and GMRF based schemes," IEE Proc. Vision Image Signal Process. 144, 108-188 (1997).

[CrossRef]

C. H. Teh and R. T. Chin, "On image analysis by the methods of moments," IEEE Trans. Pattern Anal. Mach. Intell. 10, 496-513 (1988).

[CrossRef]

A. C. Bovik, M. Clark, and W. S. Geisler, "Multichannel texture analysis using localized spatial filters," IEEE Trans. Pattern Anal. Mach. Intell. 12, 55-73 (1990).

[CrossRef]

R. W. Conners and C. A. Harlow, "A theoretical comparison of texture algorithms," IEEE Trans. Pattern Anal. Mach. Intell. PAM-2, 741-755 (1980).

P. Couteron, N. Barbier, and D. Gautier, "Textural ordination based on Fourier spectral decomposition: a method to analyze and compare landscape patterns," Landscape Ecol. 21, 555-567 (2006).

D. Dunn, W. E. Higgins, and J. Wakeley, "Texture segmentation using 2-D Gabor elementary functions," IEEE Trans. Pattern Anal. Mach. Intell. 16, 130-149 (1994).

[CrossRef]

J. S. Weszka, C. R. Dyer, and A. Rosenfeld, "A comparative study of texture measures for terrain classification," IEEE Trans. Syst. Man Cybern. 6, 269-285 (1976).

G. Amayeh, A. Erol, G. Bebis, and M. Nicolescu, "An Accurate and efficient computation of high order Zernike moments," in International Symposium on Visual Computing (Springer, 2005), pp. 462-469.

J. Flusser and T. Suk, "Rotation moment invariants for recognition of symmetric objects," IEEE Trans. Image Process. 15, 3784-3790 (2006).

J. Flusser, "On the independence of rotation moment invariants," Pattern Recogn. 30, 1405-1410 (2000).

J. Flusser and B. Zitova, "Combined invariants to linear filtering and rotation," Int. J. Pattern Recognit. Artif. Intell. 13, 1123-1135 (1999).

J. Flusser and T. Suk, "Pattern recognition by affine moment invariants," Pattern Recogn. 26, 167-174 (1993).

[CrossRef]

S. Fountain, T. Tan, and K. Baker, "A comparative study of rotation invariant classification and retrieval of texture images," in Proceedings of the British Machine Vision Conference 1998 (British Machine Vision Association, 1998), pp. 266-275.

P. Couteron, N. Barbier, and D. Gautier, "Textural ordination based on Fourier spectral decomposition: a method to analyze and compare landscape patterns," Landscape Ecol. 21, 555-567 (2006).

A. C. Bovik, M. Clark, and W. S. Geisler, "Multichannel texture analysis using localized spatial filters," IEEE Trans. Pattern Anal. Mach. Intell. 12, 55-73 (1990).

[CrossRef]

R. M. Haralick, "Statistical and structural approaches to texture," in Proc. IEEE 67, 786-804 (1979).

R. W. Conners and C. A. Harlow, "A theoretical comparison of texture algorithms," IEEE Trans. Pattern Anal. Mach. Intell. PAM-2, 741-755 (1980).

L. Wang and G. Healey, "Using Zernike moments for the illumination and geometry invariant classification of multispectral texture," IEEE Trans. Image Process. 7, 196-203 (1998).

[CrossRef]

D. Dunn, W. E. Higgins, and J. Wakeley, "Texture segmentation using 2-D Gabor elementary functions," IEEE Trans. Pattern Anal. Mach. Intell. 16, 130-149 (1994).

[CrossRef]

A. Khotanzad and Y. H. Hong, "Invariant image recognition by Zernike moments," IEEE Trans. Pattern Anal. Mach. Intell. 12, 489-497 (1990).

[CrossRef]

M. K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inf. Theory 49, 179-187 (1962).

T. Randen and J. H. Husøy, "Filtering for texture classification: a comparative study," IEEE Trans. Pattern Anal. Mach. Intell. 21, 291-310 (1999).

[CrossRef]

K. Jafari-Khouzani and H. Soltanian-Zadeh, "Radon transform orientation estimation for rotation invariant texture analysis," IEEE Trans. Pattern Anal. Mach. Intell. 27, 1004-1008 (2005).

S. S. Liu and M. E. Jernigan, "Texture analysis and discrimination in additive noise," Comput. Vis. Graph. Image Process. 49, 52-67 (1990).

[CrossRef]

B. Julesz, "A theory of preattentive texture discrimination based on first-order statistics of textons," Biol. Cybern. 41, 131-138 (1981).

B. Julesz, "Spatial nonlinearities in the instantaneous perception of textures with identical power spectra," Philos. Trans. R. Soc. London, Ser. B 29, 83-94 (1980).

B. Julesz, "Visual pattern discrimination," IEEE Trans. Inf. Theory 8, 84-92 (1962).

A. Khotanzad and Y. H. Hong, "Invariant image recognition by Zernike moments," IEEE Trans. Pattern Anal. Mach. Intell. 12, 489-497 (1990).

[CrossRef]

M. M. Leung and A. M. Peteson, "Scale and rotation invariant texture classification," in Proceedings of 26th Asilomar Conference on Signals, Systems and Computers (IEEE, 1992), pp. 461-465.

H. Lin, L. Wang, and S. Yang, "Extracting periodicity of a regular texture based on autocorrelation functions," Pattern Recogn. Lett. 18, 433-443 (1997).

S. S. Liu and M. E. Jernigan, "Texture analysis and discrimination in additive noise," Comput. Vis. Graph. Image Process. 49, 52-67 (1990).

[CrossRef]

G. Amayeh, A. Erol, G. Bebis, and M. Nicolescu, "An Accurate and efficient computation of high order Zernike moments," in International Symposium on Visual Computing (Springer, 2005), pp. 462-469.

P. Campisi, G. Panci, and G. Scarano, "Robust rotation-invariant texture classification using a model based approach," IEEE Trans. Image Process. 13, 782-791 (2004).

B. Ye and J. Peng, "Invariance analysis of improved Zernike moments," J. Opt. A, Pure Appl. Opt. 4, 606-614 (2002).

M. M. Leung and A. M. Peteson, "Scale and rotation invariant texture classification," in Proceedings of 26th Asilomar Conference on Signals, Systems and Computers (IEEE, 1992), pp. 461-465.

R. Porter and N. Canagarajah, "Robust rotation-invariant texture classification: wavelet, Gabor filter and GMRF based schemes," IEE Proc. Vision Image Signal Process. 144, 108-188 (1997).

[CrossRef]

Y. S. Abu-Mostafa and D. Psaltis, "Recognitive aspects of moment invariants," IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6, 698-806 (1984).

T. Randen and J. H. Husøy, "Filtering for texture classification: a comparative study," IEEE Trans. Pattern Anal. Mach. Intell. 21, 291-310 (1999).

[CrossRef]

Y. Ricard and R. J. Blakely, "A method to minimize edge effects in two-dimensional discrete Fourier transforms," Geophysics 53, 1113-1117 (1988).

[CrossRef]

J. S. Weszka, C. R. Dyer, and A. Rosenfeld, "A comparative study of texture measures for terrain classification," IEEE Trans. Syst. Man Cybern. 6, 269-285 (1976).

P. Campisi, G. Panci, and G. Scarano, "Robust rotation-invariant texture classification using a model based approach," IEEE Trans. Image Process. 13, 782-791 (2004).

K. Jafari-Khouzani and H. Soltanian-Zadeh, "Radon transform orientation estimation for rotation invariant texture analysis," IEEE Trans. Pattern Anal. Mach. Intell. 27, 1004-1008 (2005).

X. Tang and W. K. Stewart, "Optical and sonar image classification: wavelet packet transforms vs. Fourier transforms," Comput. Vis. Image Underst. 79, 25-46 (2000).

J. Flusser and T. Suk, "Rotation moment invariants for recognition of symmetric objects," IEEE Trans. Image Process. 15, 3784-3790 (2006).

J. Flusser and T. Suk, "Pattern recognition by affine moment invariants," Pattern Recogn. 26, 167-174 (1993).

[CrossRef]

S. Fountain, T. Tan, and K. Baker, "A comparative study of rotation invariant classification and retrieval of texture images," in Proceedings of the British Machine Vision Conference 1998 (British Machine Vision Association, 1998), pp. 266-275.

J. Zhang and T. Tan, "New texture signatures and their use in rotation invariant texture classification," in Proceedings of Texture, the 2nd International Workshop on Texture Analysis and Synthesis (School of Mathematical and Computer Sciences, Heriot-Watt University, 2002) pp. 157-162.

X. Tang and W. K. Stewart, "Optical and sonar image classification: wavelet packet transforms vs. Fourier transforms," Comput. Vis. Image Underst. 79, 25-46 (2000).

C. H. Teh and R. T. Chin, "On image analysis by the methods of moments," IEEE Trans. Pattern Anal. Mach. Intell. 10, 496-513 (1988).

[CrossRef]

D. Dunn, W. E. Higgins, and J. Wakeley, "Texture segmentation using 2-D Gabor elementary functions," IEEE Trans. Pattern Anal. Mach. Intell. 16, 130-149 (1994).

[CrossRef]

L. Wang and G. Healey, "Using Zernike moments for the illumination and geometry invariant classification of multispectral texture," IEEE Trans. Image Process. 7, 196-203 (1998).

[CrossRef]

H. Lin, L. Wang, and S. Yang, "Extracting periodicity of a regular texture based on autocorrelation functions," Pattern Recogn. Lett. 18, 433-443 (1997).

J. S. Weszka, C. R. Dyer, and A. Rosenfeld, "A comparative study of texture measures for terrain classification," IEEE Trans. Syst. Man Cybern. 6, 269-285 (1976).

H. Lin, L. Wang, and S. Yang, "Extracting periodicity of a regular texture based on autocorrelation functions," Pattern Recogn. Lett. 18, 433-443 (1997).

B. Ye and J. Peng, "Invariance analysis of improved Zernike moments," J. Opt. A, Pure Appl. Opt. 4, 606-614 (2002).

J. Zhang and T. Tan, "New texture signatures and their use in rotation invariant texture classification," in Proceedings of Texture, the 2nd International Workshop on Texture Analysis and Synthesis (School of Mathematical and Computer Sciences, Heriot-Watt University, 2002) pp. 157-162.

J. Flusser and B. Zitova, "Combined invariants to linear filtering and rotation," Int. J. Pattern Recognit. Artif. Intell. 13, 1123-1135 (1999).

B. Julesz, "A theory of preattentive texture discrimination based on first-order statistics of textons," Biol. Cybern. 41, 131-138 (1981).

S. S. Liu and M. E. Jernigan, "Texture analysis and discrimination in additive noise," Comput. Vis. Graph. Image Process. 49, 52-67 (1990).

[CrossRef]

X. Tang and W. K. Stewart, "Optical and sonar image classification: wavelet packet transforms vs. Fourier transforms," Comput. Vis. Image Underst. 79, 25-46 (2000).

Y. Ricard and R. J. Blakely, "A method to minimize edge effects in two-dimensional discrete Fourier transforms," Geophysics 53, 1113-1117 (1988).

[CrossRef]

R. Porter and N. Canagarajah, "Robust rotation-invariant texture classification: wavelet, Gabor filter and GMRF based schemes," IEE Proc. Vision Image Signal Process. 144, 108-188 (1997).

[CrossRef]

P. Campisi, G. Panci, and G. Scarano, "Robust rotation-invariant texture classification using a model based approach," IEEE Trans. Image Process. 13, 782-791 (2004).

J. Flusser and T. Suk, "Rotation moment invariants for recognition of symmetric objects," IEEE Trans. Image Process. 15, 3784-3790 (2006).

L. Wang and G. Healey, "Using Zernike moments for the illumination and geometry invariant classification of multispectral texture," IEEE Trans. Image Process. 7, 196-203 (1998).

[CrossRef]

B. Julesz, "Visual pattern discrimination," IEEE Trans. Inf. Theory 8, 84-92 (1962).

T. Randen and J. H. Husøy, "Filtering for texture classification: a comparative study," IEEE Trans. Pattern Anal. Mach. Intell. 21, 291-310 (1999).

[CrossRef]

A. C. Bovik, M. Clark, and W. S. Geisler, "Multichannel texture analysis using localized spatial filters," IEEE Trans. Pattern Anal. Mach. Intell. 12, 55-73 (1990).

[CrossRef]

D. Dunn, W. E. Higgins, and J. Wakeley, "Texture segmentation using 2-D Gabor elementary functions," IEEE Trans. Pattern Anal. Mach. Intell. 16, 130-149 (1994).

[CrossRef]

R. W. Conners and C. A. Harlow, "A theoretical comparison of texture algorithms," IEEE Trans. Pattern Anal. Mach. Intell. PAM-2, 741-755 (1980).

K. Jafari-Khouzani and H. Soltanian-Zadeh, "Radon transform orientation estimation for rotation invariant texture analysis," IEEE Trans. Pattern Anal. Mach. Intell. 27, 1004-1008 (2005).

Y. S. Abu-Mostafa and D. Psaltis, "Recognitive aspects of moment invariants," IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6, 698-806 (1984).

A. Khotanzad and Y. H. Hong, "Invariant image recognition by Zernike moments," IEEE Trans. Pattern Anal. Mach. Intell. 12, 489-497 (1990).

[CrossRef]

C. H. Teh and R. T. Chin, "On image analysis by the methods of moments," IEEE Trans. Pattern Anal. Mach. Intell. 10, 496-513 (1988).

[CrossRef]

J. S. Weszka, C. R. Dyer, and A. Rosenfeld, "A comparative study of texture measures for terrain classification," IEEE Trans. Syst. Man Cybern. 6, 269-285 (1976).

J. Flusser and B. Zitova, "Combined invariants to linear filtering and rotation," Int. J. Pattern Recognit. Artif. Intell. 13, 1123-1135 (1999).

M. K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inf. Theory 49, 179-187 (1962).

B. Ye and J. Peng, "Invariance analysis of improved Zernike moments," J. Opt. A, Pure Appl. Opt. 4, 606-614 (2002).

P. Couteron, N. Barbier, and D. Gautier, "Textural ordination based on Fourier spectral decomposition: a method to analyze and compare landscape patterns," Landscape Ecol. 21, 555-567 (2006).

J. Flusser, "On the independence of rotation moment invariants," Pattern Recogn. 30, 1405-1410 (2000).

J. Flusser and T. Suk, "Pattern recognition by affine moment invariants," Pattern Recogn. 26, 167-174 (1993).

[CrossRef]

H. Lin, L. Wang, and S. Yang, "Extracting periodicity of a regular texture based on autocorrelation functions," Pattern Recogn. Lett. 18, 433-443 (1997).

B. Julesz, "Spatial nonlinearities in the instantaneous perception of textures with identical power spectra," Philos. Trans. R. Soc. London, Ser. B 29, 83-94 (1980).

R. M. Haralick, "Statistical and structural approaches to texture," in Proc. IEEE 67, 786-804 (1979).

J. Zhang and T. Tan, "New texture signatures and their use in rotation invariant texture classification," in Proceedings of Texture, the 2nd International Workshop on Texture Analysis and Synthesis (School of Mathematical and Computer Sciences, Heriot-Watt University, 2002) pp. 157-162.

S. Fountain, T. Tan, and K. Baker, "A comparative study of rotation invariant classification and retrieval of texture images," in Proceedings of the British Machine Vision Conference 1998 (British Machine Vision Association, 1998), pp. 266-275.

R. Bajcsy, "Computer description of textured surfaces," in Proceedings of the Third International Joint Conference on Artificial Intelligence (International Joint Conference on Artificial Intelligence, 1973), pp. 572-579.

G. Amayeh, A. Erol, G. Bebis, and M. Nicolescu, "An Accurate and efficient computation of high order Zernike moments," in International Symposium on Visual Computing (Springer, 2005), pp. 462-469.

Neural network toolbox, MATLAB v6.1, MathWorks Inc.

M. M. Leung and A. M. Peteson, "Scale and rotation invariant texture classification," in Proceedings of 26th Asilomar Conference on Signals, Systems and Computers (IEEE, 1992), pp. 461-465.

Mayang's online texture library, http://www.mayang.com/textures.