Determination of fractal dimensions from equivalent L systems

Abstract

This paper revises a few existing methods for computing fractal dimensions, underlines their dependency on the graphical properties of the curves, and proposes and discusses a new method, based on the representation of fractals by means of Lindenmayer systems, that makes use of the structure of L systems to compute the fractal dimension. The method is implemented in Prolog, and its limitations and usefulness are discussed.

DOI: 10.1147/rd.456.0797

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@article{Alfonseca2001DeterminationOF, title={Determination of fractal dimensions from equivalent L systems}, author={Manuel Alfonseca and Alfonso Ortega}, journal={IBM Journal of Research and Development}, year={2001}, volume={45}, pages={797-806} }