Alternate spline: A generalized B-spline (Q1121470)

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scientific article; zbMATH DE number 4103661
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English
Alternate spline: A generalized B-spline
scientific article; zbMATH DE number 4103661

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    Alternate spline: A generalized B-spline (English)
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    1987
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    A new kind of spline, so called alternate spline of order k for given knot sequence \(\tau\), is defined recursively and its properties are studied. A theorem discusses the effect of multiple knots in the knot sequence. It is proved that the B-splines are actually a special case of alternate splines if the knots \(\tau\) are chosen properly.
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    alternate spline
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    B-splines
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