COMPACTLY SUPPORTED BOX-SPLINE WAVELETS

作     者：C.K.Chui J.Stckler J.D.Ward 

作者机构：Center for Approximation Theory Department of Mathematics Texas A&M University College StationTX 77843-3368 Department of Mathematics University of Duisburg D-4100 Duisburg Germany 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：1992年第8卷第3期

页      面：77-100页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：①Partially supported by ARO Grant DAAL 03-90-G-0091 ②Partially supported by NSF Grant DMS 89-0-01345 ③Partially supported by NATO Grant CRG 900158 

主　　题：COMPACTLY SUPPORTED BOX SPLINE WAVELETS 

摘      要：A general procedure for constructing multivariate non-tensor-product wavelets that gen- erate an orthogonal decomposition of L^2(R~),s≥ 1,is described and applied to yield explicit formulas for compactly supported spline-wavelets based on the multiresolution analysis of L^2(R^s),1≤s≤3,generated by any box spline whose direction set constitutes a unimodular *** particular,when univariate cardinal B-splines are considered,the minimally sup- ported cardinal spline-wavelets of Chui and Wang are recovered.A refined computational scheme for the orthogonalization of spaces with compactly supported wavelets is given.A recursive approximation scheme for“truncateddecomposition sequences is developed and a sharp error bound is included.A condition on the symmetry or anti-symmetry of the wavelets is applied to yield symmetric box-spline wavelets.