Orthogonal Polynomials and the Construction of Piecewise Polynomial Smooth Wavelets

Orthogonal Polynomials and the Construction of Piecewise Polynomial Smooth Wavelets

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.

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Veröffentlicht in:SIAM journal on mathematical analysis 1999, Vol.30 (5), p.1029-1056
Hauptverfasser: Donovan, G. C., Geronimo, J. S., Hardin, D. P.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Generators
Polynomials
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Zusammenfassung: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.
ISSN:0036-1410
1095-7154
DOI:10.1137/S0036141096313112