Compactly supported box-spline wavelets /

Bibliographic Details
Main Authors:	Chui, C. K. (Author), Stöckler, Joachim (Author), Ward, J. D. (Joseph D.) (Author)
Corporate Authors:	United States. Army Research Office (sponsoring body.), National Science Foundation (U.S.) (sponsoring body.), North Atlantic Treaty Organization (sponsoring body.)
Format:	Book
Language:	English
Published:	College Station, Texas : Center for Approximation Theory, Department of Mathematics, Texas A & M University, 1990.
Series:	CAT report ; no. 230.
Subjects:	Spline theory. Wavelets (Mathematics) Harmonic analysis. Interpolation. Decomposition (Mathematics) Approximation theory. Approximations and expansions > Approximations and expansions > Spline approximation. Harmonic analysis on Euclidean spaces > Nontrigonometric harmonic analysis > Orthogonal functions and polynomials, general theory. Approximations and expansions > Approximations and expansions > Interpolation. Approximations and expansions > Approximations and expansions > Approximation by other special function classes. Approximations and expansions > Approximations and expansions > Multidimensional problems. Box splines Multiresolution analysis Multivariate wavelets Compact supports Decomposition and reconstruction sequences

Description
Abstract:	A general procedure for constructing multivariate non-tensor-product wavelets that generate an orthogonal decomposition of L^2(R)^s, s>=1, is introduced. This procedure is applied to yield 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 matrix. In particular, when univariate cardinal B-splines are considered, the minimally supported cardinal spline-wavelets of Chui and Wang are recovered. The duality principle, dual basis, and reproducing kernels are also studied in a more general multivariate setting.
Item Description:	"September 1990." "Revised: February, 1991"--Page 1. Funding information taken from page 1.
Physical Description:	29 pages ; 28 cm
Bibliography:	Includes bibliographical references (page 29).