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 positivedefinite 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 / Conti, C., Cotronei, M., Sauer, T.. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 233:7(2010), pp. 1649-1659. [10.1016/j.cam.2009.02.016]
Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution
COTRONEI, Mariantonia;
2010-01-01
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 positivedefinite 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
