Multivariate trigonometric wavelet decompositions

J. Prestin; F. Sprengel

doi:10.1016/0898-1221(95)00094-1

Multivariate trigonometric wavelet decompositions

J. Prestin^*, F. Sprengel

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

Universität Rostock

Abstract

Decomposition and reconstruction algorithms for nested spaces of multivariate trigonometric polynomials are described. The scaling functions of these spaces are chosen as fundamental polynomials of Lagrange interpolation. Their properties are crucial for the approach presented here. In particular, FFT-algorithms can be used efficiently.

Originalsprache	Englisch
Zeitschrift	Computers and Mathematics with Applications
Jahrgang	30
Ausgabenummer	3-6
Seiten (von - bis)	169-182
Seitenumfang	14
ISSN	0898-1221
DOIs	https://doi.org/10.1016/0898-1221(95)00094-1
Publikationsstatus	Veröffentlicht - 01.01.1995

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10.1016/0898-1221(95)00094-1

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title = "Multivariate trigonometric wavelet decompositions",

abstract = "Decomposition and reconstruction algorithms for nested spaces of multivariate trigonometric polynomials are described. The scaling functions of these spaces are chosen as fundamental polynomials of Lagrange interpolation. Their properties are crucial for the approach presented here. In particular, FFT-algorithms can be used efficiently.",

author = "J. Prestin and F. Sprengel",

year = "1995",

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doi = "10.1016/0898-1221(95)00094-1",

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T1 - Multivariate trigonometric wavelet decompositions

AU - Prestin, J.

AU - Sprengel, F.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - Decomposition and reconstruction algorithms for nested spaces of multivariate trigonometric polynomials are described. The scaling functions of these spaces are chosen as fundamental polynomials of Lagrange interpolation. Their properties are crucial for the approach presented here. In particular, FFT-algorithms can be used efficiently.

AB - Decomposition and reconstruction algorithms for nested spaces of multivariate trigonometric polynomials are described. The scaling functions of these spaces are chosen as fundamental polynomials of Lagrange interpolation. Their properties are crucial for the approach presented here. In particular, FFT-algorithms can be used efficiently.

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U2 - 10.1016/0898-1221(95)00094-1

DO - 10.1016/0898-1221(95)00094-1

M3 - Journal articles

AN - SCOPUS:58149324404

SN - 0898-1221

VL - 30

SP - 169

EP - 182

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3-6

ER -

Multivariate trigonometric wavelet decompositions

Abstract

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