Skip to main content

Computing Entropy Maps of Finite-Automaton-Encoded Binary Images

  • Conference paper
  • First Online:
Automata Implementation (WIA 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2214))

Included in the following conference series:

  • 309 Accesses

Abstract

Finite automata are being used to encode images. Applications of this technique include image compression, and extraction of self similarity information and Hausdorff dimension of the encoded image. Jürgensen and Staiger [7] proposed a method by which the local Hausdorff dimension of the encoded image could be effectively computed. This paper describes the first implementation of this procedure and presents some experimental results showing local entropy maps computed from images represented by finite automata.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Culik II, K., Kari, J.: Digital Images and Formal Languages. In [9] 599–616.

    Google Scholar 

  2. Culik II, K., Kari, J.: Image Compression using Weighted Finite Automata. Comput. and Graphics 17(3) (1993) 305–313

    Article  Google Scholar 

  3. Culik II, K., Valenta, V.: Finite Automata Based Compression of Bi-level and Simple Color Images. Comput. and Graphics 21(1), (1997) 61–68

    Article  MathSciNet  Google Scholar 

  4. Eramian, M.: Computing Entropy Maps of Finite-Automaton-Encoded Binary Images. Technical Report #544, Department of Computer Science, University of Western Ontario.

    Google Scholar 

  5. Eramian, M., Schincariol, R. A., Mansinha, L., Stockwell, R. G.: Generation of Aquifer Heterogeneity Maps using Two Dimensional Spectral Texture Segmentation Techniques. Mathematical Geology, 31(3) (1999) 327–348

    Article  Google Scholar 

  6. Gerald, C. F., Wheatley, P. O.: Applied Numerical Analysis, Fifth Edition. Addison-Wesley Publishing Company (1994)

    Google Scholar 

  7. Jurgensen, H., Staiger, L.: Local Hausdorff Dimension. Acta Informatica 32 (1995) 491–507

    MathSciNet  Google Scholar 

  8. Pal, N. R., Pal, S. K.: A review on image segmentation techniques. Pattern Recognition 26(9) (1993) 1277–1294

    Article  Google Scholar 

  9. Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages Vol. 3, edited by G. Rozenberg and A. Salomaa. Springer-Verlag, Berlin (1997)

    MATH  Google Scholar 

  10. Seneta, E.: Non-negative Matrices and Markov Chains, second edition. Springer-Verlag, New York (1981)

    MATH  Google Scholar 

  11. Staiger, L.: Quadtrees and the Hausdorff Dimension of Pictures. In: Geobild’ 89, Proceedings of the 4th Workshop on Geometrical Problems of Image Processing held in Georgenthal, March 13–17, 1989, edited by A. Hubler, W. Nagel, B. D. Ripley, G. Werner. Akademie-Verlag, Berlin (1989) 173–178

    Google Scholar 

  12. Thomas, W.: Automata on Infinite Objects. In: Handbook of Theoretical Computer Science, Volume B: Formal Models and Semantics, edited by J. V. Leeuwen. Elsevier, Amsterdam (1994) 133–191

    Google Scholar 

  13. Van Gool, L., Dewaele, P., Oosterlinck, A.:Texture Analysis. Comput. Vision Graphics Image Process. 29(3) (1985) 336–357

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Eramian, M.G. (2001). Computing Entropy Maps of Finite-Automaton-Encoded Binary Images. In: Boldt, O., Jürgensen, H. (eds) Automata Implementation. WIA 1999. Lecture Notes in Computer Science, vol 2214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45526-4_8

Download citation

  • DOI: https://doi.org/10.1007/3-540-45526-4_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42812-1

  • Online ISBN: 978-3-540-45526-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics