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Proceedings Paper

Necessary conditions for the existence of multivariate multiscaling functions
Author(s): Carlos A. Cabrelli; Christopher E. Heil; Ursula M. Molter
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Paper Abstract

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.

Paper Details

Date Published: 4 December 2000
PDF: 12 pages
Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); doi: 10.1117/12.408625
Show Author Affiliations
Carlos A. Cabrelli, Univ. de Buenos Aires and Consejo Nacional de Invetigaciones Cientificas y Technicas (Argentina)
Christopher E. Heil, Georgia Institute of Technology (United States)
Ursula M. Molter, Univ. de Buenos Aires and Consejo Nacional de Investigaciones Cientificas y Tecnicas (Argentina)


Published in SPIE Proceedings Vol. 4119:
Wavelet Applications in Signal and Image Processing VIII
Akram Aldroubi; Andrew F. Laine; Michael A. Unser, Editor(s)

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