✦ LIBER ✦

Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution

✍ Scribed by Costanza Conti; Mariantonia Cotronei; Tomas Sauer

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 652 KB
Volume: 233
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.02.016

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✦ Synopsis

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.