In this paper, we describe some recent results obtained in the contextof vector subdivision schemes which possess the so-called full rank property.Such kind of schemes, in particular those which have an interpolatory nature, areconnected to matrix refinable functions generating orthogonal multiresolutionanalyses for the space of vector-valued signals. Corresponding multichannel(matrix) wavelets can be defined and their construction in terms of a very efficientscheme is given. Some examples illustrate the nature of these matrix scalingfunctions/wavelets

From full rank subdivision schemes to multichannel wavelets: A constructive approach

COTRONEI, Mariantonia
2011-01-01

Abstract

In this paper, we describe some recent results obtained in the contextof vector subdivision schemes which possess the so-called full rank property.Such kind of schemes, in particular those which have an interpolatory nature, areconnected to matrix refinable functions generating orthogonal multiresolutionanalyses for the space of vector-valued signals. Corresponding multichannel(matrix) wavelets can be defined and their construction in terms of a very efficientscheme is given. Some examples illustrate the nature of these matrix scalingfunctions/wavelets
2011
978-0-8176-8094-7
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/10658
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