Regular Article
Box Spline Prewavelets of Small Support

https://doi.org/10.1006/jath.2001.3587Get rights and content
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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.

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Communicated by Amos, Ron

f1

E-mail: [email protected], [email protected]

f2

E-mail: [email protected]