ON B´ EZIER-FRACTAL MODELING OF 2D SHAPES
Wiesław Kotarski, Agnieszka Lisowska · 2005
Fractal modeling of dierent shapes has gained much popular ity in recent years. The problem of modeling is very simple when one has mathe- matical description of the fractal he wants to model. But the inverse procedure is much more complicated. Indeed, for any shape there is no exact proce- dure of obtaining its mathematical fractal description. Based on recent work of Goldman quite new method of obtaining fractal coecients of arbitrary two dimensional shapes has been presented in the paper. The procedure is based on the possibility of fractal modeling of quadratic and linear Bezier curves. Indeed, any shape may be modeled as a sum of Bezier curves, with the he lp of IPAN99 algorithm, which in turn may be modeled fractally. In the paper the automatic method of such Bezier-Fractal modeling of shapes has been p resented together with a number of practical examples.