Skip to main content
SpringerLink
Log in
Book cover

International Conference on Rough Sets and Current Trends in Computing

RSCTC 1998: Rough Sets and Current Trends in Computing pp 316–321Cite as

Fractal Operator Convergence by Analysis of Influence Graph

  • Conference paper
  • First Online:

  • 723 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1424))

Abstract

The convergence of fractal operator F used in image compression is investigated. A sufficient condition for eventual contractivity is derived by using the adjacency matrix of an influence graph which is determined by the fractal encoder.

The work was sponsored in part by ECU grant CRIT2.

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

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Banach, “Sur les operations dans les ensembles abstraits et leur applications aux equations integrales”, Fundamenta Mathematica, vol.3, pp. 133–181, 1922.

    MATH  Google Scholar 

  2. M. F. Barnsley and L. P. Hurd, Fractal image compression, AK Peters. Ltd, Wellesley, MA, 1993.

    MATH  Google Scholar 

  3. J. Dugundi and A. Granas, Fixed point theory, Polish Scientific Publishers, Warszawa, 1982.

    Google Scholar 

  4. Y. Fisher ed., Fractal image compression, Theory and Application, Springer Verlag, New York, 1995.

    Google Scholar 

  5. A. E. Jacquin, “Image coding based on a fractal theory of iterated contractive image transformations”, IEEE Trans. on Image Processing, vol. 1, no. 1, pp. 18–30, 1992.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electronics and Information Technology, Warsaw University of Technology, Warsaw

    Władysław Skarbek

Authors
  1. Władysław Skarbek
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-665, Warszawa, Poland

    Lech Polkowski

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warszawa, Poland

    Andrzej Skowron

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Skarbek, W. (1998). Fractal Operator Convergence by Analysis of Influence Graph. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_43

Download citation

  • DOI: https://doi.org/10.1007/3-540-69115-4_43

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64655-6

  • Online ISBN: 978-3-540-69115-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation