A Unified Approach to B-Spline Recursions and Knot Insertion, with Application to New Recursion Formulas

Walz, Guido

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URL:	http://ub-madoc.bib.uni-mannheim.de/1715
URN:	urn:nbn:de:bsz:180-madoc-17151
Document Type:	Working paper
Year of publication:	1993
The title of a journal, publication series:	None
Publication language:	English
Institution:	School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series:	Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject:	510 Mathematics
Classification:	MSC: 65D07 41A15 ,
Subject headings (SWD):	B-Spline , Rekursion , Knoten <Mathematik>
Keywords (English):	B-Splines , Recursion Schemes , Knot Insertion , Contour Integral
Abstract:	We present a unified approach to and a generalization of almost all known recursion schemes concerning B-spline functions. This indudes formulas for the computation of a B-spline's values, its derivatives (ordinary and partial), and for a knot insertion method for B-spline curves. Furthermore, our generalization allows us to derive interesting new relations for these purposes.
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