Wavelet Bases Made of Piecewise Polynomial Functions: Theory and Applications

Fatone, Lorella and Recchioni, Maria Cristina and Zirilli, Francesco (2011) Wavelet Bases Made of Piecewise Polynomial Functions: Theory and Applications. Applied Mathematics, 02 (02). pp. 196-216. ISSN 2152-7385

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Official URL: https://doi.org/10.4236/am.2011.22022

Abstract

We present wavelet bases made of piecewise (low degree) polynomial functions with an (arbitrary) assigned number of vanishing moments. We study some of the properties of these wavelet bases; in particular we consider their use in the approximation of functions and in numerical quadrature. We focus on two applications: integral kernel sparsification and digital image compression and reconstruction. In these application areas the use of these wavelet bases gives very satisfactory results.

Item Type:	Article
Subjects:	Journal Eprints > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	06 Jun 2023 06:09
Last Modified:	04 Dec 2023 03:50
URI:	http://repository.journal4submission.com/id/eprint/2180

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