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
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.