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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