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Curve Fitting by Fractal Interpolation

  • Polychronis Manousopoulos
  • Vassileios Drakopoulos
  • Theoharis Theoharis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4750)

Abstract

Fractal interpolation provides an efficient way to describe data that have an irregular or self-similar structure. Fractal interpolation literature focuses mainly on functions, i.e. on data points linearly ordered with respect to their abscissa. In practice, however, it is often useful to model curves as well as functions using fractal intepolation techniques. After reviewing existing methods for curve fitting using fractal interpolation, we introduce a new method that provides a more economical representation of curves than the existing ones. Comparative results show that the proposed method provides smaller errors or better compression ratios.

Keywords

fractal interpolation curve fitting iterated function systems 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Polychronis Manousopoulos
    • 1
  • Vassileios Drakopoulos
    • 1
  • Theoharis Theoharis
    • 1
  1. 1.Department of Informatics and TelecommunicationsUniversity of Athens, PanepistimioupolisAthensGreece

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