Rocky Mountain Journal of Mathematics
- Rocky Mountain J. Math.
- Volume 47, Number 5 (2017), 1463-1495.
Construction of new multiple knot B-spline wavelets
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.
Rocky Mountain J. Math., Volume 47, Number 5 (2017), 1463-1495.
First available in Project Euclid: 22 September 2017
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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