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Box spline prewavelets of small support

Buhmann, M.D. and Davydov, Oleg and Goodman, T.N.T. (2001) Box spline prewavelets of small support. Journal of Approximation Theory, 112. pp. 16-27.

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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

Item type: Article
ID code: 36563
Keywords: prewavelets , box spline prewavelets, differentiation, polynomials, Mathematics, Analysis, Applied Mathematics, Mathematics(all), Numerical Analysis
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date Deposited: 22 Dec 2011 16:09
Last modified: 21 May 2015 14:15
URI: http://strathprints.strath.ac.uk/id/eprint/36563

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