Increasing the degree of closed B-spline curves (Q596987)

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scientific article; zbMATH DE number 2082409
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Increasing the degree of closed B-spline curves
scientific article; zbMATH DE number 2082409

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    Increasing the degree of closed B-spline curves (English)
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    6 August 2004
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    In this short article, a theorem is proved about the limit of B-spline curves. For that, sequences of such curves are formed with fixed control polygon and increasing degree. The key statement then is that the limit is the arithmetic mean of the control points. The case of rational curves is also discussed.
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    B-spline curve
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    sequences of curves
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