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/waveletsFile in questo prodotto:
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