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

Lubomir Dechevsky; Ewald Quak; Børre Bang; Arne Laksa; Arnt Kristoffersen

doi:10.1117/12.738374

2 October 2007 Expo-rational spline multiwavelets: a first overview of definitions, properties, generalizations and applications

Lubomir Dechevsky, Ewald Quak, Børre Bang, Arne Laksa, Arnt Kristoffersen

Author Affiliations +

Proceedings Volume 6763, Wavelet Applications in Industrial Processing V; 676308 (2007) https://doi.org/10.1117/12.738374
Event: Optics East, 2007, Boston, MA, United States

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 'super-properties' 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.

Citation Download Citation

Lubomir Dechevsky, Ewald Quak, Børre Bang, Arne Laksa, and Arnt Kristoffersen "Expo-rational spline multiwavelets: a first overview of definitions, properties, generalizations and applications", Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 676308 (2 October 2007); https://doi.org/10.1117/12.738374

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