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Two Dimensional Time Series for Textures

  • Conference paper
Digital Image Processing

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 77))

Abstract

This paper presents an approach to synthesis, analysis and recognition of textures based on two dimensional time series. In this approach, two dimensional autoregressive models are used to generate textures having given statistical properties. Some new estimation techniques are proposed, and used to fit an autoregressive model to a reference region in an image. The interest of a recognition procedure based on two dimensional inverse filtering method is then emphasized. This procedure is applied to natural pictures for classification and segmentation using the second order statistical properties of the textures only.

Formerly with ENST, Paris

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References

  1. Pratt W., Faugeras O., Gagalowitz A.: “Visual discrimination of Stochastic texture fields”. IEEE Trans. on Systems, Man and Cybernetics, Vol SMC - 8, n°11, Nov. 1978.

    Google Scholar 

  2. Monne J. Schmitt F.: “Synthèse de Textures par une méthode probabiliste Kidimensionnelle”. 2ème congrès AFCET-IRIA Reconnaissance des formes et intelligence artificielle - Toulouse Sep. 1979.

    Google Scholar 

  3. Haralick R.M.: “Statistical and Structural approaches to Texture”, Proc of the IEEE, Vol. 67, n°5, May 1979.

    Google Scholar 

  4. Too J.T, Chang Y.S.: “An approach to texture pattern analysis and recognition” in Proc. IEEE conf. on decision and control, 1976.

    Google Scholar 

  5. Davis L.S.: “Image texture analysis techniques - A survey” “NATO ASI on Image Processing - Bonas - France - 1980”.

    Google Scholar 

  6. Gueguen C.: “Apport de la modélisation au traitement du signal”, 7e colloque GRETSI, Nice 1979.

    Google Scholar 

  7. Levinson N.: “The Wiener rms error criterion in filter design and prediction”. J. Math. Phys., Vol 25, pp 261–278, Jan 1947.

    MathSciNet  Google Scholar 

  8. Goodman D.: “Some stability properties of two-dimensional shifts invariant digital filters”. IEEE Trans. on Circuits Syst., Vol. CAS-24 pp 201–208, Apr. 1977.

    Article  Google Scholar 

  9. Jury E.I.: “Stability of multidimensional Scalar and matrix polynomials”, Proc. of the IEEE, vol. 66, n°9, Sep. 1978.

    Google Scholar 

  10. Ekstrom M.P., Woods J.W.: “Two-dimensional spectral factorization with applications in recursive digital filtering”, IEEE Trans. on ASSP, Vol ASSP-24 n°2, April 1976.

    Google Scholar 

  11. Shanks J.L., Treitel S. Justice J.H.: “Stability and synthesis of two dimensional recursive filters”. IEEE Trans. Audio Electroacoust., vol AU-20, p 115, June 1972.

    Article  Google Scholar 

  12. Huang T.S.: “Stability of two dimensional recursive filters”. IEEE Trans. on Audio and Electro. Vol AU-20, n°2, June 1972.

    Google Scholar 

  13. Jayaramamurthy: “Computer methods for analysis and synthesis of visual texture”, Ph.D. Thesis, Sep. 1973, Univ. of Illinois, Urbana Illinois.

    Google Scholar 

  14. Anderson B.D.O., Jury E.I.: Stability tests for Two dimensional recursive filters. IEEE Trans. on Audio and Electro. Vol AU-21, n°4, August 1973.

    Google Scholar 

  15. Akaike H.:“Autoregressive model fitting for control”, Annals of the Institute of Statist Math., vol 23, 1971.

    Google Scholar 

  16. Justice J.H: “A Levinson-type algorithm for two dimensional Wiener filtering using bivariate Szegö polynomials”. Proc. of IEEE, vol. 65, n°6, June 1977.

    Google Scholar 

  17. Gambotto J.P., Gueguen C.: “A multidimensional filtering approach to pattern recognition with application to texture classification and segmentation”. Int. Signal Proc. Conf. Firenze 1978.

    Google Scholar 

  18. Gambotto J.P.: “Méthodes d’estimation linéaire multidimensionnelle: application à la reconnaisssance et à la segmentation des textures”, Thesis, Dec. 1979, ENST, Paris.

    Google Scholar 

  19. Gambotto J.P.: “Processus bidimensionnels et modèle autorégressif vectoriel: application à la modélisation des textures”, 7e colloque GRETSI, Nice 1979.

    Google Scholar 

  20. Deguchi K. Morishita I.: “Texture Characterization and Texture-based image partitioning using two-dimensional linear estimation techniques”. IEEE Trans. on Computer vol C-27, n°8, August 1978.

    Google Scholar 

  21. Gambotto J.P. Gueguen C.: “A multidimensional modeling approach to texture classification and segmentation”, IEEE Inter. Conf. on ASSP, April 1979, Washington.

    Google Scholar 

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© 1981 D. Reidel Publishing Company

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Gambotto, J.P. (1981). Two Dimensional Time Series for Textures. In: Simon, J.C., Haralick, R.M. (eds) Digital Image Processing. NATO Advanced Study Institutes Series, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8543-8_13

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  • DOI: https://doi.org/10.1007/978-94-009-8543-8_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8545-2

  • Online ISBN: 978-94-009-8543-8

  • eBook Packages: Springer Book Archive

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