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Stable evaluation of box‐splines

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Abstract

The most elegant way to evaluate box-splines is by using their recursive definition. However, a straightforward implementation reveals numerical difficulties. A careful analysis of the algorithm allows a reformulation which overcomes these problems without losing efficiency. A concise vectorized MATLAB-implementation is given.

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References

  1. C. de Boor, K. Höllig and D. Riemenschneider, Box Splines (Springer, Berlin, 1993).

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  2. C. de Boor, On the evaluation of box splines, Numer. Algorithms 8 (1993) 5–23.

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Kobbelt, L. Stable evaluation of box‐splines. Numerical Algorithms 14, 377–382 (1997). https://doi.org/10.1023/A:1019133501773

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  • DOI: https://doi.org/10.1023/A:1019133501773

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