Open Science Research Excellence

Bechir Ayeb

Publications

1

Publications

1
15297
Fractal Shapes Description with Parametric L-systems and Turtle Algebra
Abstract:

In this paper, we propose a new method to describe fractal shapes using parametric l-systems. First we introduce scaling factors in the production rules of the parametric l-systems grammars. Then we decorticate these grammars with scaling factors using turtle algebra to show the mathematical relation between l-systems and iterated function systems (IFS). We demonstrate that with specific values of the scaling factors, we find the exact relationship established by Prusinkiewicz and Hammel between l-systems and IFS.

Keywords:
Fractal shapes, IFS, parametric l-systems, turtlealgebra.