EVALUATION OF FRACTAL DIMENSION OF PROFIL ES BY AVERAGED NORMALIZED AUTOCORRELATION METHOD (ANA)

Authors
BIGERELLE M IOST A
Citation
M. Bigerelle et A. Iost, EVALUATION OF FRACTAL DIMENSION OF PROFIL ES BY AVERAGED NORMALIZED AUTOCORRELATION METHOD (ANA), Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 323(10), 1996, pp. 669-675
Citations number
14
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie → ACNP
ISSN journal
12518069
Volume
323
Issue
10
Year of publication
1996
Pages
669 - 675
Database
ISI
SICI code
1251-8069(1996)323:10<669:EOFDOP>2.0.ZU;2-H
Abstract
The paper aims to evaluate the fractal dimension of one-variable funct ion graphs based on the topological space L(alpha). A good convergence of calculated fractal dimensions can be found by using curves whose f ractal dimensions are known. The results obtained by ANA or ''conventi onal methods'' are improved by an estimation of discretization errors. An algorithm has been derived from the algebraic relations and conver ges rapidly. This algorithm could also be used to evaluate the fractal dimension of measured profiles and to screen multifractals.