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Stable evaluation of box-splines - MaRDI portal

Stable evaluation of box-splines (Q1370333)

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scientific article; zbMATH DE number 1078345
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English
Stable evaluation of box-splines
scientific article; zbMATH DE number 1078345

    Statements

    Stable evaluation of box-splines (English)
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    2 April 1998
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    The author proposes and investigates a new modification of the well-known de Boor's recursive algorithm for the evaluation of box-splines. A careful analysis of computational complexity, numerical stability/instability of the recursive algorithm and some steps in its optimization allow a reformulation which can overcome existing numerical difficulties without losing efficiency. Finally a concise vectorized MATLAB-implementation of the proposed method is given.
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    box-splines
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    de Boor's recursive algorithm
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    robust implementation
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    computational complexity
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    numerical stability
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