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 / Conti, C., Cotronei, M.. - (2011), pp. 109-130. [10.1007/978-0-8176-8095-4_6]
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/waveletsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
