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A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines - MaRDI portal

A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines (Q834648)

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scientific article; zbMATH DE number 5598823
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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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