On generalized Bernstein polynomials in CAGD

Walz, Guido

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URL: http://ub-madoc.bib.uni-mannheim.de/1973
URN: urn:nbn:de:bsz:180-madoc-19738
Document Type: Working paper
Year of publication: 1988
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
Subject headings (SWD): Bernstejn-Polynom , Kurvenanpassung
Keywords (English): Bernstein Polynomials , Stancu Operators , Curve Fitting
Abstract: A central topic in CAGD is the representation of curves and surfaces by polynomial interpolation operators, in particular by Bernstein polynomials. In this paper we present two different types of generalized Bernstein polynomials. The first one goes back to an idea of D.D.Stancu [5, 6, 7]; here a class of polynomials qnv is defined, which depend continuously on an additional parameter a. For a
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