J. Phys. I France
Volume 6, Numéro 3, March 1996
Page(s) 431 - 441
DOI: 10.1051/jp1:1996167
J. Phys. I France 6 (1996) 431-441

Objective Determination of Branching Angles in Fractals

J. Arrault and B. Pouligny

Centre de recherche Paul-Pascal CNRS, Avenue Schweitzer, 33600 Pessac, France

(Received 31 August 1995, received in final form 21 November, accepted 28 November 1995)

We propose an objective pattern recognition procedure to determine branching angles in 2-dimensional fractals. Recognition is performed by correlating the object with V-shaped identifiers. We define a quantitative criterion to prove the existence of characteristic branching angles in such figures. The whole procedure is tested on a mathematical (snowflake) fractal and then applied to a few physical examples. A neat characteristic angle is found in dendritic aggregates, in agreement with visual impression. However, the procedure does not find any dominant branching angle in basic Witten and Sander aggregates.

© Les Editions de Physique 1996