Ocean Bottom Simulation Using Fractal Geometry

Abstract

Fractal geometry can simulate natural topography, creating data that can be used in sonar models as realistic ocean bottom features. An algorithm using recursive subdivision, or midpoint replacement, is used to create the fractals. The appearance, statistics, and dimension of the fractal can be controlled through the use of variables. The variables control the initial corner values and the amount that each subdivision can vary from the average of its two initial points. The choice of a random number distribution also affects the final fractal. The statistics, fractal dimension, and appearance of data generated by the fractal algorithm are comparable to real data.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1991
Accession Number
ADA245477

Entities

People

  • Candace J. Robertson

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustics
  • Algorithms
  • Artificial Intelligence
  • California
  • Classification
  • Engineering
  • Gaussian Distributions
  • Geometry
  • Image Processing
  • Information Science
  • Measurement
  • Seabed
  • Security
  • Simulations
  • Statistical Analysis
  • Statistics
  • Topography

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Regression Analysis.
  • Theoretical Analysis.