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Expo-rational spline multiwavelets : a first overview of definitions, properties, generalizations and applications

Abstract

Expo-rational B-splines have been introduced in 2002 and by now have been shown to exhibit certain 'super-properties' compared to ordinary polynomial B-splines. The Euler Beta-function B-splines, a polynomial version of the expo-rational B-splines, has been introduced very recently, and has been shown to share some of the 'superproperties' of the expo-rational B-splines. In this paper we discuss several of the ways in which these 'superproperties' can be used to enhance the theory of polynomial spline wavelets and multiwavelets.

Category

Report

Language

English

Author(s)

  • Lubomir T. Dechevski
  • Ewald Gunther Quak
  • Børre Bang
  • Arne Lakså
  • Arnt R. Kristoffersen

Affiliation

  • Universitetet i Tromsø - Norges arktiske universitet
  • SINTEF Digital / Mathematics and Cybernetics

Year

2007

Publisher

Høgskolen i Narvik

Issue

No. 7/2007

View this publication at Cristin