Wavelets and Splines in Numerical Methods and Compression.

Abstract

There were three major research explorations. (1) Wavelets: Necessary and sufficient conditions on the wavelet, scaling function and projection kernel for given rates of convergence of wavelet expansions in the supremum and L (P) (Rd) norms have been given. (2) Image compression is developed using quasi-interpolant multivariate box splines and multi-resolution analysis has been developed. (3) Shallow Water Theory: A mathematical justification for the "shallow water theory for time-dependent two-dimensional flows of an inviscid, irrotational, incompressible fluid moving under the influence of gravity has been developed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1995
Accession Number
ADA294986

Entities

People

  • Daniel A. Williams
  • Louise A. Raphael

Organizations

  • Howard University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Fourier Analysis
  • Functional Analysis
  • Harmonic Analysis
  • Image Compression
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Shallow Water
  • Signal Processing
  • Theorems
  • Three Dimensional
  • Two Dimensional

Readers

  • Approximation Theory.
  • Computer Vision.
  • Fluid Dynamics.