Evaluation de la dimension fractale d'un graphe
| Autor: | B. Dubuc, D. Wehbi, C. Tricot, C. Roques-Carmes, J. F. Quiniou |
|---|---|
| Rok vydání: | 1988 |
| Předmět: |
fractal dimension
spectral method 02 engineering and technology 01 natural sciences Fractal dimension functional analysis Combinatorics Box counting horizontal structural segments Fractal 0203 mechanical engineering Dimension (vector space) 0103 physical sciences Calculus Minkowski 010306 general physics Mathematics intersection Brownian noise graph Graph 020303 mechanical engineering & transports fractals [PHYS.HIST]Physics [physics]/Physics archives Weierstrass Mandelbrot function box counting |
| Zdroj: | Revue de Physique Appliquée Revue de Physique Appliquée, Société française de physique / EDP, 1988, 23 (2), pp.111-124. ⟨10.1051/rphysap:01988002302011100⟩ |
| ISSN: | 0035-1687 2777-3671 |
| Popis: | For practical purposes this paper is a presentation of old and new methods for evaluating the fractal dimension of one-variable function graphs: spectral method, Minkowski, box counting, intersection, ... Their efficiency is tested comparatively on well-known functions (Brownian noise, Weierstrass-Mandelbrot function). It appears that one of the fastest and most accurate algorithms is our new «variation method», based upon the use of horizontal structural segments On recense les methodes permettant de determiner la dimension fractale de graphes de fonctions d'une variable non derivable. On presente des methodes nouvelles dont l'efficacite est testee comparativement sur des fonctions connues (bruit brownien, fonction de Weierstrass-Mandelbrot). La methode de variation fondee sur l'utilisation de segments structurants horizontaux parait presenter les meilleures garanties de rapidite d'emploi et de precision du resultat |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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