Wavelet-Based Grid Generation.

Abstract

Wavelets can provide a basis set in which the basis functions are constructed by dilating and translating a fixed function known as the mother wavelet. The mother wavelet can be seen as a high pass filter in the frequency domain. The process of dilating and expanding this high pass filter can be seen as altering the frequency range that is "passed" or detected. The process of translation moves this high pass filter throughout the domain, thereby providing a mechanism to detect the frequencies or scales of information at every location. This is exactly the type of information that is needed for effective grid generation. This paper provides motivation to use wavelets for grid generation in addition to providing the final product: source code for wavelet based grid generation.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1996
Accession Number
ADA317890

Entities

People

  • Leland Jameson

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Aeronautics
  • Boundaries
  • Coefficients
  • Computer Programs
  • Computers
  • Contracts
  • Decomposition
  • Demographic Cohorts
  • Engineering
  • Filters
  • Frequency
  • Galerkin Method
  • High Pass Filters
  • Numbers
  • Procedures (Computers)
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Image Processing and Computer Vision.
  • Systems Analysis and Design