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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1566–1574

Texture classification based on comparison of second-order statistics. I. Two-point probability density function estimation and distance measure

Alexei A. Goon and Jannick P. Rolland  »View Author Affiliations

JOSA A, Vol. 16, Issue 7, pp. 1566-1574 (1999)

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The two-point probability density function (2P-PDF) gives a full description of the first- and second-order statistics of a random process. We propose a framework for texture classification based on a distance measure between 2P-PDF’s after equalization of first-order statistics. This framework allows extraction of the structural information of the process independently of the dynamic range of the image. We present two methods for estimating the 2P-PDF of texture images, and we establish some criteria for efficient computation. The theoretical framework for noise-free texture images is validated with four texture ensembles.

© 1999 Optical Society of America

OCIS Codes
(100.2960) Image processing : Image analysis
(100.5010) Image processing : Pattern recognition

Original Manuscript: September 1, 1998
Revised Manuscript: January 28, 1999
Manuscript Accepted: January 28, 1999
Published: July 1, 1999

Alexei A. Goon and Jannick P. Rolland, "Texture classification based on comparison of second-order statistics. I. Two-point probability density function estimation and distance measure," J. Opt. Soc. Am. A 16, 1566-1574 (1999)

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  1. H. H. Barrett, J. Yao, J. P. Rolland, K. J. Myers, “Model observers for assessment of image quality,” Proc. Natl. Acad. Sci. USA 90, 9758–9765 (1993). [CrossRef] [PubMed]
  2. J. P. Rolland, H. H. Barrett, “Model of background uncertainty and observers detection performance,” J. Opt. Soc. Am. A 9, 649–658 (1992). [CrossRef] [PubMed]
  3. G. Revesz, H. L. Kundel, M. A. Graber, “The influence of structured noise on detection of radiological abnormalities,” Invest. Radiol. 9, 479–486 (1974). [CrossRef] [PubMed]
  4. F. O. Bochud, F. R. Verdun, C. Hessler, J. F. Valley, “Detectability on radiological images: the influence of anatomical noise,” in Medical Imaging 1995: Image Perception, H. L. Kundel, ed., Proc. SPIE2436, 156–165 (1995). [CrossRef]
  5. J. W. Byng, M. J. Yaffe, G. A. Lockwood, L. E. Little, D. L. Tritchler, N. F. Boyd, “Automated analysis of mammographic densities and breast carcinoma risk,” Cancer (N.Y.) 80, 66–74 (1997). [CrossRef]
  6. J. P. Rolland, R. Strickland, “An approach to the synthesis of biological tissue,” Opt. Express 1, 414–423 (1997). [CrossRef] [PubMed]
  7. E. B. Gargill, “A mathematical liver model and its application to system optimization and texture analysis,” Ph.D dissertation (University of Arizona, Tucson, Ariz.1989).
  8. S. H. L. Hylen, “Image modifiers for use in photography,” U.S. patent5,649,259 (15July1997).
  9. J. P. Rolland, A. A. Goon, L. Yu, “Synthesis of textured complex backgrounds,” Opt. Eng. 37, 2055–2063 (1998). [CrossRef]
  10. J. P. Rolland, A. A. Goon, E. Clarkson, L. Yu, “Synthesis of biomedical tissue,” in Medical Imaging 1998: Image Perception, H. L. Kundel, ed., Proc. SPIE3340, 85–90 (1998). [CrossRef]
  11. R. Gonzalez, R. Woods, Digital Image Processing (Addison-Wesley, Reading, Mass., 1992), Chap. 8.
  12. K. R. Castleman, Digital Image Processing (Prentice-Hall, Englewood Cliffs, N.J., 1979), Chap. 16.
  13. M. G. A. Thomson, D. H. Foster, “Role of second- and third-order statistics in the discriminability of natural images,” J. Opt. Soc. Am. A 14, 2081–2090 (1997). [CrossRef]
  14. A. Tremeau, J. Bousigue, B. Laget, “Co-occurrence shape descriptors applied to texture classification and segmentation,” in Machine Vision Applications in Industrial Inspection IV, A. R. Rao, N. Chang, eds., Proc. SPIE2665, 135–147 (1996). [CrossRef]
  15. R. S. Mia, M. H. Loew, K. A. Wear, R. F. Wagner, B. S. Garra, “Quantitative ultrasound tissue characterization using texture and cepstral features,” in Medical Imaging 1998: Image Processing, K. M. Hanson, ed., Proc. SPIE3338, 211–219 (1998). [CrossRef]
  16. R. M. Haralick, “Statistical and structural approaches to texture,” Proc. IEEE 67(5), 786–804 (1979). [CrossRef]
  17. A. Papoulis, Probability, Random Variables, and Statistical Processes (McGraw-Hill, New York, 1991).
  18. A. M. Mathai, S. B. Provost, Quadratic Forms in Random Variables (Marcel Dekker, New York, 1992), Chap. 3.2.

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