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A generalization of rational Bernstein–Bézier curves

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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.

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Authors and Affiliations

  1. Department of Mathematics, Fen Edebiyat Fakültesi, Dokuz Eylül University, Tınaztepe Kampüsü, Buca, İzmir, 35160, Turkey

    Çetin Dişibüyük & Halil Oruç

Authors
  1. Çetin Dişibüyük
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  2. Halil Oruç
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Correspondence to Halil Oruç.

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AMS subject classification (2000)

65D17

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Dişibüyük, Ç., Oruç, H. A generalization of rational Bernstein–Bézier curves . Bit Numer Math 47, 313–323 (2007). https://doi.org/10.1007/s10543-006-0111-y

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  • DOI: https://doi.org/10.1007/s10543-006-0111-y

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