COMPACTLY SUPPORTED BOX-SPLINE WAVELETS
COMPACTLY SUPPORTED BOX-SPLINE WAVELETS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.