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On the evaluation of box splines

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Abstract

Straightforward use of the recurrence relations for box splines quickly leads to difficulties which are ultimately due to the fact that step functions are not computable. The note outlines how to deal with these difficulties and offers amatlab program for the (correct) evaluation of a box spline. Since use of the recurrence relation is very time-consuming, various alternatives are discussed as well.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, 53706, Madison, WI, USA

    Carl de Boor

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  1. Carl de Boor
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de Boor, C. On the evaluation of box splines. Numer Algor 5, 5–23 (1993). https://doi.org/10.1007/BF02109280

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