Skip to main content

Texture recognition by the q-th order fractal analysis

  • Texture
  • Conference paper
  • First Online:
  • 115 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 719))

Abstract

This paper deals with the theory of qth-order fractal dimensions and its application to texture analysis. In particular, a novel algorithm for estimating such dimensions is proposed and its use in digital-image processing is described. Results on classical Brodatz textures are reported.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.P.Pentland Fractal-based description of natural scenes IEEE Trans. on Pattern Analysis and Machine Intelligence, vol. PAMI-6, no. 6, pp. 661–674, 1984.

    Google Scholar 

  2. J.M.Keller and S.Chen Texture description and segmentation through fractal geometry Computer Vision, Graphics, and Image Processing, vol. 45, pp. 150–166, 1989.

    Google Scholar 

  3. U.Mussigman Texture analysis using fractal dimensions in: Fractal Geometry and Computer Graphics (J.L.Encarnacao, H.O.Peitgen, G.Sakas, G.Englert, Eds.), pp. 217–230, Springer Verlag, Berlin, 1990.

    Google Scholar 

  4. B.B.Mandelbrot The Fractal Geometry of Nature Freeman, San Francisco, 1982.

    Google Scholar 

  5. J.Feder Fractals Plenum Press, New York, 1988.

    Google Scholar 

  6. R.Voss Random fractals: characterization and measurement in: Scaling Phenomena in Disordered Systems, R.Pynn and A.Skjeltorp, Eds., Plenum Press, New York, 1986.

    Google Scholar 

  7. S.Fioravanti, D.D.Giusto, and G.Vernazza Analysis of the behaviour of the multifractality spectrum function UG-DIBE, Technical Report 92-014, 1992.

    Google Scholar 

  8. N.Otsu Karhunen-Loeve line fitting and a linearity measure Proc. 7th Int. Conf. on Pattern Recognition, pp. 486–489, August 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Dmitry Chetverikov Walter G. Kropatsch

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fioravanti, S., Giusto, D.D. (1993). Texture recognition by the q-th order fractal analysis. In: Chetverikov, D., Kropatsch, W.G. (eds) Computer Analysis of Images and Patterns. CAIP 1993. Lecture Notes in Computer Science, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57233-3_38

Download citation

  • DOI: https://doi.org/10.1007/3-540-57233-3_38

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57233-6

  • Online ISBN: 978-3-540-47980-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics