Understanding recurrence relations for Chebyshevian B-splines via blossoms

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摘要

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.

论文关键词：Chebyshevian B-splines,Recurrence relations,de Boor algorithm,Knot insertion,Blossoms

论文评审过程：Received 20 September 2006, Revised 17 May 2007, Available online 6 July 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.06.029