Rocky Mountain Journal of Mathematics

Construction of new multiple knot B-spline wavelets

Maryam Esmaeili and Ali Tavakoli

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Abstract

This paper deals with construction of non-uniform multiple knot B-spline wavelet basis functions (with minimal support). These wavelets are semi-orthogonal on a bounded interval. A large family of multiple knot B-spline wavelets is presented that gives a variety of basis functions with explicit formulas and locally compact supports. Moreover, the structure of this wavelet is conceptually simple and easy to implement. Finally, some examples of multiple knot B-spline wavelets are also presented.

Article information

Source
Rocky Mountain J. Math., Volume 47, Number 5 (2017), 1463-1495.

Dates
First available in Project Euclid: 22 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1506045621

Digital Object Identifier
doi:10.1216/RMJ-2017-47-5-1463

Mathematical Reviews number (MathSciNet)
MR3705761

Zentralblatt MATH identifier
1376.41005

Subjects
Primary: 41A15: Spline approximation 65D07: Splines 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 65N55: Multigrid methods; domain decomposition 65T60: Wavelets

Keywords
Multiple knot B-spline wavelet

Citation

Esmaeili, Maryam; Tavakoli, Ali. Construction of new multiple knot B-spline wavelets. Rocky Mountain J. Math. 47 (2017), no. 5, 1463--1495. doi:10.1216/RMJ-2017-47-5-1463. https://projecteuclid.org/euclid.rmjm/1506045621


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