Journal article

Box spline prewavelets of small support


Authors listBuhmann, MD; Davydov, O; Goodman, TNT

Publication year2001

Pages16-27

JournalJournal of Approximation Theory

Volume number112

Issue number1

ISSN0021-9045

Open access statusGreen

DOI Linkhttps://doi.org/10.1006/jath.2001.3587

PublisherElsevier


Abstract
The purpose of this paper is the construction of bi- and trivariate prewavelets from box-spline spaces, i.e., 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. (C) 2001 Academic Press.



Citation Styles

Harvard Citation styleBuhmann, M., Davydov, O. and Goodman, T. (2001) Box spline prewavelets of small support, Journal of Approximation Theory, 112(1), pp. 16-27. https://doi.org/10.1006/jath.2001.3587

APA Citation styleBuhmann, M., Davydov, O., & Goodman, T. (2001). Box spline prewavelets of small support. Journal of Approximation Theory. 112(1), 16-27. https://doi.org/10.1006/jath.2001.3587



Keywords


L(2)(R(D))WAVELETS

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