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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

Language

English

Author(s)

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

Affiliation

  • SINTEF Digital / Mathematics and Cybernetics
  • UiT The Arctic University of Norway

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

Page(s)

676308 - 676308

View this publication at Norwegian Research Information Repository