Multifractal Analysis at Negative q

Abstract

A box-based correlation integral algorithm for the determination of generalized fractal dimensions is described. The algorithm has been tested for Euclidean curves, Koch symmetric and asymmetric triadic split snowflake halls, and the multifractal construction based on Mandelbrot's 13-element generator is well-suited to the analysis of experimental data with inherent uncertainty, it is efficient, and it converges to analysis results for the model point sets at all q values.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1992
Accession Number
ADA254370

Entities

People

  • Lawrence V. Meisel
  • Mark A. Johnson

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Construction
  • Convergence
  • Data Sets
  • Engineering
  • Experimental Data
  • Generators
  • Information Operations
  • Information Security
  • Integrals
  • Materials
  • Mathematics
  • Military Research
  • Security
  • Standards
  • Uncertainty

Fields of Study

  • Physics

Readers

  • Aerospace Propulsion Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.