In this extension of earlier work, we point out several ways how a multiresolution analysis can be derived from a finitely supported interpolatory matrix mask which has a positive definite symbol on the unit circle except at -1. A major tool in this investigation will be subdivision schemes that are obtained by using convolution or correlation operations based on replacing the usual matrix multiplications by Kronecker products.
Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution / C. Conti; M. Cotronei; T. Sauer. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 233:(2010), pp. 1649-1659. [10.1016/j.cam.2009.02.016]
Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution
CONTI, COSTANZA;
2010
Abstract
In this extension of earlier work, we point out several ways how a multiresolution analysis can be derived from a finitely supported interpolatory matrix mask which has a positive definite symbol on the unit circle except at -1. A major tool in this investigation will be subdivision schemes that are obtained by using convolution or correlation operations based on replacing the usual matrix multiplications by Kronecker products.
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