Orthogonal Polynomials and the Construction of Piecewise Polynomial Smooth Wavelets
- 1 January 1999
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 30 (5) , 1029-1056
- https://doi.org/10.1137/s0036141096313112
Abstract
Orthogonal polynomials are used to construct families of C0 and C1 orthogonal, compactly supported spline multiwavelets. These families are indexed by an integer which represents the order of approximation. We indicate how to obtain from these multiwavelet bases for L2 [0,1] and present a C2 example.Keywords
This publication has 9 references indexed in Scilit:
- Fourier Series in Orthogonal PolynomialsPublished by World Scientific Pub Co Pte Ltd ,1999
- Wavelets based on orthogonal polynomialsMathematics of Computation, 1997
- Intertwining Multiresolution Analyses and the Construction of Piecewise-Polynomial WaveletsSIAM Journal on Mathematical Analysis, 1996
- Construction of Orthogonal Wavelets Using Fractal Interpolation FunctionsSIAM Journal on Mathematical Analysis, 1996
- Polynomial Wavelets on the IntervalConstructive Approximation, 1996
- On the construction of wavelets on a bounded intervalAdvances in Computational Mathematics, 1995
- Multi-Resolution Analysis of Multiplicity d: Applications to Dyadic InterpolationApplied and Computational Harmonic Analysis, 1994
- Multiresolution analyses based on fractal functionsJournal of Approximation Theory, 1992
- Ten Lectures on WaveletsPublished by Society for Industrial & Applied Mathematics (SIAM) ,1992