Accession Number : ADA294986

Title :   Wavelets and Splines in Numerical Methods and Compression.

Descriptive Note : Final rept.,

Corporate Author : HOWARD UNIV WASHINGTON DC DEPT OF MATHEMATICS

Personal Author(s) : Williams, Daniel A. ; Raphael, Louise A.

PDF Url : ADA294986

Report Date : 15 MAR 1995

Pagination or Media Count : 11

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.

Descriptors :   *DATA COMPRESSION, *NUMERICAL METHODS AND PROCEDURES, IMAGE PROCESSING, TIME DEPENDENCE, THEORY, AUTOCORRELATION, KERNEL FUNCTIONS, SHALLOW WATER, CONVERGENCE, GRAVITY, NOISE, TWO DIMENSIONAL FLOW, INCOMPRESSIBILITY, SPLINES(GEOMETRY).

Subject Categories : Fluid Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE