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Some Remarks about Compactly Supported Spline Wavelets

โœ Scribed by E.P. Serrano

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
190 KB
Volume
3
Category
Article
ISSN
1063-5203

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โœฆ Synopsis

In this paper we propose an extended family of almost orthogonal spline wavelets with compact support. These functions provide snug bases for L 2 (R), preserving semiorthogonal properties. As it is well known, orthogonality is a desirable quality while finite support has attractive features for numerical applications. This work represents an effort to combine these conditions in the spline case and to enhance previous results of Chui and Unser et al. We start by reviewing the concept of semiorthogonal wavelets and we discuss their performance. Next, we give a brief description of the general technique for computing compactly supported spline wavelets. Finally we expose these functions. We also develop several formulas in accord with our purposes.

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