Understanding recurrence relations for Chebyshevian B-splines via blossoms |
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| Authors: | Marie-Laurence Mazure |
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| Affiliation: | aLaboratoire Jean Kuntzmann, Université Joseph Fourier, BP53, 38041 Grenoble Cedex 9, France |
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| Abstract: | The purpose of this article is to show how naturally recurrence relations for most general Chebyshevian B-splines emerge from blossoms. In particular, this work gives a new insight into previous results by Lyche [A recurrence relation for Chebyshevian B-splines, Constr. Approx. 1 (1985) 155–178], the importance of which it underlines. |
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| Keywords: | Chebyshevian B-splines Recurrence relations de Boor algorithm Knot insertion Blossoms |
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