Box spline prewavelets of small support

M.D. Buhmann, Oleg Davydov, T.N.T. Goodman

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The purpose of this paper is the construction of bi- and trivariate prewavelets from box-spline spaces, \ie\ piecewise polynomials of fixed degree on a uniform mesh. They have especially small support and form Riesz bases of the wavelet spaces, so they are stable. In particular, the supports achieved are smaller than those of the prewavelets due to Riemenschneider and Shen in a recent, similar construction
LanguageEnglish
Pages16-27
Number of pages12
JournalJournal of Approximation Theory
Volume112
DOIs
Publication statusPublished - 2001

Fingerprint

Box Splines
Splines
Trivariate
Riesz Basis
Piecewise Polynomials
Wavelets
Polynomials
Mesh
Form

Keywords

  • prewavelets
  • box spline prewavelets
  • differentiation
  • polynomials

Cite this

Buhmann, M. D., Davydov, O., & Goodman, T. N. T. (2001). Box spline prewavelets of small support. Journal of Approximation Theory , 112, 16-27. https://doi.org/10.1006/jath.2001.3587
Buhmann, M.D. ; Davydov, Oleg ; Goodman, T.N.T. / Box spline prewavelets of small support. In: Journal of Approximation Theory . 2001 ; Vol. 112. pp. 16-27.
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Box spline prewavelets of small support. / Buhmann, M.D.; Davydov, Oleg; Goodman, T.N.T.

In: Journal of Approximation Theory , Vol. 112, 2001, p. 16-27.

Research output: Contribution to journalArticle

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