Accession Number : ADA304488

Title :   Compactly Supported Tight Affine Spline Frames in L2(Rd).

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Ron, Amos ; Shen, Zuowei

PDF Url : ADA304488

Report Date : FEB 1996

Pagination or Media Count : 20

Abstract : The theory of RS2 is applied to yield compactly supported tight affine frames (wavelets) in L2(Rd) from box splines. The wavelets obtained are smooth piecewise polynomials on a simple mesh; furthermore, they exhibit a wealth of symmetries, and have a relatively small support. The number of 'mother wavelets', however, increases with the increase of the required smoothness. Two bivariate constructions, of potential practical value, are highlighted. In both, the wavelets are derived from four-direction mesh box splines that are refinable with respect to the dilation matrix.

Descriptors :   *SPLINES(GEOMETRY), ALGORITHMS, MULTIVARIATE ANALYSIS, MATRICES(MATHEMATICS), MESH, APPROXIMATION(MATHEMATICS), POLYNOMIALS, NUMERICAL METHODS AND PROCEDURES, BIVARIATE ANALYSIS, PERIODIC FUNCTIONS, SMOOTHING(MATHEMATICS).

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE