A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines (Q834648)
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scientific article; zbMATH DE number 5598823
| Language | Label | Description | Also known as |
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| English | A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines |
scientific article; zbMATH DE number 5598823 |
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A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines (English)
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27 August 2009
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This paper compares the different approaches to recurrence relations for geometrically continuous, piecewise Chebyshevian B-splines, complementing the authors paper [J. Comput. Appl. Math. 219 (2), 457--470 (2008; Zbl 1149.41004)] where also the blossom approach \textit{T. Lyche}, [Constructive Approximation 1, 155--173 (1985; Zbl 0583.41011)] and properties of the de Boor algorithms were studied. The paper gives a good and thorough treatment of the material and the connections between the different approaches and enhances the power of the blossom approach.
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Chebyshev spaces
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recurrence relations
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B-splines
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connection matrices
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blossoms
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de Boor algorithm
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geometric design
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0.9540403
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0.9123824
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0.9097305
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0.9002738
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0.89783335
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0.89687306
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