OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 36, Iss. 32 — Nov. 10, 1997
  • pp: 8313–8321

Fast algorithm for texture discrimination by use of a separable orthonormal decomposition of the co-occurrence matrix

Sébastien Allam, Mouloud Adel, and Philippe Réfrégier  »View Author Affiliations

Applied Optics, Vol. 36, Issue 32, pp. 8313-8321 (1997)

View Full Text Article

Acrobat PDF (1471 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We consider the problem of texture analysis with a fast algorithm. For that purpose we propose to use coefficients of the decomposition of co-occurrence matrices on an orthonormal and separable basis. We apply this method for texture discrimination, and we thus demonstrate with some examples its efficiency in terms of rapidity, discrimination performance, and robustness. We compare this method with classifiers that use a Fisher linear discrimination on features <i>a priori</i> defined in the co-occurrence matrices.

© 1997 Optical Society of America

Sébastien Allam, Mouloud Adel, and Philippe Réfrégier, "Fast algorithm for texture discrimination by use of a separable orthonormal decomposition of the co-occurrence matrix," Appl. Opt. 36, 8313-8321 (1997)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. H. Wechler, “Texture analysis: a survey,” Signal Process. 2, 271–282 (1980).
  2. R. M. Harralick, K. Shanmugam, and I. Dinstein, “Textural features for image classification,” IEEE Trans. Syst. Man Cybern. 610–621 (1973).
  3. R. M. Harralick, “Statistical and structural approach to texture,” Proc. IEEE 67, 786–804 (1979).
  4. C. C. Gotlieb and H. E. Kreyszig, “Texture descriptors based on cooccurrence matrices,” Comput. Vision Graphics Image Process. 51, 70–86 (1990).
  5. M. M. Galloway, “Texture analysis using gray level run lengths,” Comput. Graphics Image Process. 4, 172–179 (1975).
  6. J. S. Weszka, C. R. Dyer, and A. Rosenfeld, “A comparative study of texture for terrain classification,” IEEE Trans. Syst. Man Cybern. 6, 269–285 (1976).
  7. K. L. Laws, “Visual pattern discrimination,” paper presented at the Image Understanding Workshop, Los Angeles, Calif., 7–8 November 1979.
  8. Z. Q. Liu and S. V. R. Madiraju, “Covariance-based approach to texture processing,” Appl. Opt. 35, 848–853 (1996).
  9. F. D’Astous and M. E. Jernigan, “Texture discrimination based on detailed measures of the power spectral,” paper presented at the Seventh International Conference on Pattern Recognition, Montreal, Quebec, Canada, 30 July–2 August 1984.
  10. B. Julesz, “Visual pattern discrimination,” IRE Trans. Inf. Theory IT8, 84–92 (1962).
  11. R. W. Conners and C. A. Harlow, “A theorical comparison of texture algorithm,” IEEE Trans. Pattern Anal. Mach. Intell. 3, 204–222 (1980).
  12. R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis (Wiley, New York, 1973).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited