Construction of Multivariate Tight Frames via Kronecker Products
نویسندگان
چکیده
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. 2001 Academic Press
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