Necessary conditions for the existence of multivariate multiscaling functions

In this paper we outline the main ideas behind the recent proof of the authors that if a multivariate, multi-function refinement equation with an arbitrary dilation matrix has a continuous, compactly supported solution which has independent lattice translates, then the joint spectral radius of certa...

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Detalles Bibliográficos
Autores principales: Cabrelli, C.A., Heil, C., Molter, U.M.
Formato: JOUR
Materias:
Joint spectral radius
Multiresolution analysis
Multiwavelets
Refinement equations
Tiles
Wavelets
Algorithms
Boundary conditions
Convergence of numerical methods
Fractals
Function evaluation
Matrix algebra
Set theory
Theorem proving
Vectors
Multivariate multiscaling functions
Wavelet transforms
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0277786X_v4119_n1_p395_Cabrelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:In this paper we outline the main ideas behind the recent proof of the authors that if a multivariate, multi-function refinement equation with an arbitrary dilation matrix has a continuous, compactly supported solution which has independent lattice translates, then the joint spectral radius of certain matrices restricted to an appropriate subspace is strictly less than one. © 2000 SPIE--The International Society for Optical Engineering.

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