Title :
Evaluation of the fractal dimension of an image using the wavelet transform: comparison with a standard method
Author :
Peyrin, Francoise ; Ratton, Laurent ; Zegadi, Nacéra ; Mouhamed, Souad ; Ding, Yi
Author_Institution :
CREATIS, CNRS, Villeurbanne, France
Abstract :
Fractal modelling is one of the different approaches to texture analysis. The fractal dimension, may be used to characterize the roughness of a texture. The authors propose to use the wavelet transform, and distributions issued from the affine smoothed class, for the estimation of the fractal dimension of an image. The study is done in the framework of 2D fractional Brownian motion (FBM). The method is tested on simulated homogeneous and piecewise FBMs
Keywords :
Brownian motion; estimation theory; fractals; image texture; wavelet transforms; 2D fractional Brownian motion; affine smoothed class; estimation; fractal dimension; image; roughness; texture analysis; wavelet transform; Brownian motion; Fractals; Image analysis; Image texture analysis; Rough surfaces; Surface roughness; Surface texture; Testing; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-2127-8
DOI :
10.1109/TFSA.1994.467247
