A generalization of rational Bernstein–Bézier curves |
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| Authors: | Çetin Dişibüyük Halil Oruç |
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| Affiliation: | (1) Department of Mathematics, Fen Edebiyat Fakültesi, Dokuz Eylül University, Tınaztepe Kampüsü, Buca, İzmir, 35160, Turkey |
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| Abstract: | This paper is concerned with a generalization of Bernstein–Bézier curves. A one parameter family of rational Bernstein–Bézier curves is introduced based on a de Casteljau type algorithm. A subdivision procedure is discussed, and matrix representation and degree elevation formulas are obtained. We also represent conic sections using rational q-Bernstein–Bézier curves. AMS subject classification (2000) 65D17 |
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| Keywords: | q-Bernstein polynomials rational Bézier curves de Casteljau algorithm subdivision degree elevation |
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