Chaikin´s Approach to Fractal Modeling of 2D Contours

Author

Kotarski, Wieslaw ; Lisowska, Agnieszka

Author_Institution

Inst. of Comput. Sci., Silesia Univ., Sosnowiec

Volume

2

fYear

2005

fDate

21-24 Nov. 2005

Firstpage

1192

Lastpage

1195

Abstract

The problem of fractal modeling is very simple when one has a mathematical description of a given fractal. But the inverse task of finding mathematical parameters characterizing a given fractal is much more complicated. Basing on the recent work by Goldman and the well known Chaikin\´s geometric approach using "cutting corners" paradigm for rendering quadratic curves the new method of obtaining of fractal coefficients of arbitrary 2D contours is presented. The procedure is based on the possibility of fractal modeling of quadratic and linear curves and the fact that any contour may be represented as a sum of such curves, with the help of IPAN99 algorithm. In the paper the automatic method of such fractal modeling of contours is presented together with a number of practical examples

Keywords

computational geometry; fractals; 2D contour; Chaikin algorithm; Chaikin geometric approach; IPAN99 algorithm; fractal coefficient; fractal modeling; linear curve; mathematical fractal parameter; quadratic curve rendering; Computer graphics; Computer science; Fractals; Image coding; Inverse problems; Mathematical model; Polynomials; Solid modeling; Stress; 2D contours; Chaikin´s algorithm; Iterated Function System; fractal modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer as a Tool, 2005. EUROCON 2005.The International Conference on

Conference_Location

Belgrade

Print_ISBN

1-4244-0049-X

Type

conf

DOI

10.1109/EURCON.2005.1630168

Filename

1630168