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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

Academic chapter/article/Conference paper

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

SPIE - The International Society for Optics and Photonics

Book

Proceedings of SPIE : Wavelet applications in industrial processing V, 11-12 september 2007,Boston, Massachusetts, USA

Issue

vol. 6763

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