
Accession Number : ADA304488
Title : Compactly Supported Tight Affine Spline Frames in L2(Rd).
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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 fourdirection 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