
Accession Number : ADA300068
Title : Convergence of Numerical BoxCounting and Correlation Integral Multifractal Analysis Techniques.
Descriptive Note : Final rept.,
Corporate Author : ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS
Personal Author(s) : Meisel, L. V. ; Johnson, M. A.
PDF Url : ADA300068
Report Date : APR 1995
Pagination or Media Count : 19
Abstract : A systematic study of the rate of convergence for a numerical boxcounting and a numerical correlation integral algorithm applied to Euclidean point sets, Koch constructions, and a symmetric chaotic mapping is described. The number of points N(5) required for 5 percent convergence of the boxcounting (for 0 < or = q < or = 25) and correlation integral (for q between 25 and 25) algorithms for the fractal sets studied is determined by the generalized dimension D(q) and is given by log10(N5) approx. equals to 2.54 D(q)O.11. Approximately 25 times as many points are required for 1 percent convergence. The boxbased correlation integral(BBCI) algorithm employed in the present studies, which is well suited to the analysis of large data sets, is also described.
Descriptors : *FRACTALS, *NUMERICAL METHODS AND PROCEDURES, ALGORITHMS, IMAGE PROCESSING, COMPUTATIONS, CHAOS, INTEGRALS, ACCURACY, CORRELATION, PRECISION, CONVERGENCE, LOGARITHM FUNCTIONS, PIXELS, SET THEORY, POINT THEOREM.
Subject Categories : Numerical Mathematics
Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE