IJPAM: Volume 50, No. 3 (2009)

FRACTAL INTERPOLATION IN
MODELING OF 2D CONTOURS

Krzysztof Gdawiec
Institute of Mathematics
University of Silesia
Bankowa 14, Katowice, 40-007, POLAND
e-mail: [email protected]


Abstract.The problem of fractal modeling is very simple when we know the mathematical description of a fractal. We just apply one of the well-known algorithms. The inverse problem of finding the mathematical description for given fractal is not so trivial and we do not know any general method to solve this problem. So there are several approaches to this problem e.g. via Bézier curves, fractal compression. In this paper we present automatic method for finding fractal description of 2D contours. Our algorithm uses fractal interpolation for this purpose. We also present some of practical examples.

Received: January 7, 2009

AMS Subject Classification: 68U05, 68P30, 28A80, 41A05

Key Words and Phrases: fractal modeling, fractal interpolation, iterated function system, 2D contours

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 3