Determination of fractal dimensions from equivalent L systems

Authors
Alfonseca, M Ortega, A
Citation
M. Alfonseca et A. Ortega, Determination of fractal dimensions from equivalent L systems, IBM J RES, 45(6), 2001, pp. 797-805
Citations number
15
Categorie Soggetti
Multidisciplinary,"Computer Science & Engineering
Journal title
IBM JOURNAL OF RESEARCH AND DEVELOPMENT
ISSN journal
00188646 → ACNP
Volume
45
Issue
6
Year of publication
2001
Pages
797 - 805
Database
ISI
SICI code
0018-8646(200111)45:6<797:DOFDFE>2.0.ZU;2-J
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 fracta ls by means of Lindenmayer systems, that makes use of the structure of L sy stems to compute the fractal dimension. The method is implemented in Prolog , and its limitations and usefulness are discussed.