Box spline prewavelets of small support

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

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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

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• Item metadata

  Item type:	Article
  ID code:	36563
  Dates:	Date Event 1 November 2001 Published 9 April 2001 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	22 Dec 2011 16:09
  Last modified:	11 Nov 2024 10:02
  URI:	https://strathprints.strath.ac.uk/id/eprint/36563