Article
Construction of Multivariate Tight Frames via Kronecker Products
Applied and Computational Harmonic Analysis
(2001)
Abstract
Integer-translates of compactly supported univariate refinable functions φi, such as cardinal B-splines, have been used extensively in computational mathematics. Using certain appropriate direction vectors, the notion of (multivariate) box splines can be generalized to (non-tensor-product) compactly supported multivariate refinable functions from the φi’s. The objective of this paper is to introduce a Kronecker-product approach to build compactly supported tight frames associated with , using the two-scale symbols of the univariate tight frame generators
associated with the φi’s.
Disciplines
Publication Date
January 9, 2001
DOI
10.1006/acha.2001.0355
Citation Information
Charles K. Chui and Wenjie He. "Construction of Multivariate Tight Frames via Kronecker Products" Applied and Computational Harmonic Analysis Vol. 11 Iss. 2 (2001) p. 305 - 312 Available at: http://works.bepress.com/wenjie-he/2/