Measuring the Fractal Dimensions of Empirical Cartographic Curves,

Abstract

This paper discusses an algorithm, which simulates walking a pair of dividers along a curve, used to calculate the fractal dimensions of curves. It also discusses the choice of chord length and the number of solution steps used in computing fracticality. Results demonstrate the algorithm to be stable and that a curve's fractal dimension can be closely approximated. Potential applications for this technique include a new means for curvilinear data compression, description of planimetric feature boundary texture for improved realism in scene generation and possible two-dimensional extension for description of surface feature textures.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA117498

Entities

People

  • Harold Moellering
  • Mark C. Shelberg
  • Nina Lam

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Brownian Motion
  • Cartography
  • Computers
  • Curvature
  • Data Compression
  • Equations
  • Geography
  • Geometry
  • Intervals
  • New York
  • Sampling
  • Scene Generation
  • South Africa
  • Statistical Inference
  • Two Dimensional

Fields of Study

  • Computer science

Readers

  • Aerospace Propulsion Engineering.
  • Combustion and Flow Dynamics.
  • Computer Vision.