Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution

  • Authors:

  • Costanza Conti;Mariantonia Cotronei;Tomas Sauer

  • Affiliations:

  • Dipartimento di Energetica "Sergio Stecco", Universití di Firenze, Via Lombroso 6/17, I-50134 Firenze, Italy;DIMET, Universití degli Studi "Mediterranea" di Reggio Calabria, Via Graziella, loc. Feo di Vito, I-89122 Reggio Calabria, Italy;Lehrstuhl für Numerische Mathematik, Justus-Liebig-Universität Gieíen, Heinrich-Buff-Ring 44, D-35392 Gieíen, Germany

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

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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.