Trigonometric Bézier and Stancu Polynomials over Intervals and Triangles

Walz, Guido

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URN: urn:nbn:de:bsz:180-madoc-17067
Document Type: Working paper
Year of publication: 1996
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 , Trigonometrie , Bernstein-Bézier-Darstellung
Keywords (English): Trigonometrie Lagrange polynomials , trigonometrie Bernstein polynomials , Stancu polynomials , design parameter
Abstract: We introduce a family of trigonometrie polynomials, denoted as Stancu polynomials, which covers as special cases the trigonometrie Lagrange and Bernstein polynomials. This family depends only on one real parameter, denoted as design parameter. Our approach works for curves as well as for surfaces over triangles. The resulting Stancu curves resp. surfaces therefore establish a link between trigonometrie interpolatory and Bernstein-Bézier curves resp. surfaces.
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