Determination of Fractal Dimensions of Single-Valued Surfaces in 3-Space in the Presence of Uniformly and Normally Distributed Random Noise: The Triangulation Algorithm.

Abstract

This report describes a new and efficient algorithm for determining the Mandelbrot fractal dimension of single-value surfaces in 3-space. First the algorithm is shown to return appropriate values for the fractal dimensions of Brown constructions. Then, in order to elucidate the errors introduced into measured fractal dimensions by experimental uncertainties, the algorithm is applied to Brown surfaces that have been distorted by the addition of uniformly and normally distributed noise. Since the results apply to single-valued subsections of multiple-valued surfaces, they are also representative of the effects of uniformly and normally distributed noise on the apparent fractal scaling of multiple-valued surfaces.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1996
Accession Number
ADA314619

Entities

People

  • Lawrence V. Meisel

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Construction
  • Mathematics
  • Triangulation
  • Uncertainty

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Aerospace Propulsion Engineering.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Space Objects