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Rational quadratic circles are parametrized by chord length

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Publication:733384
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DOI10.1016/j.cagd.2006.08.002zbMath1171.65330OpenAlexW2053269273MaRDI QIDQ733384

Gerald Farin

Publication date: 16 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2006.08.002


zbMATH Keywords

standard formchord length parametrizationrational quadratics


Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)


Related Items (7)

Curves with chord length parameterization ⋮ Optimal parameterization of rational quadratic curves ⋮ Complex rational Bézier curves ⋮ Variations on the four-point subdivision scheme ⋮ Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space ⋮ Optimizing equiareality of NURBS surfaces using composite Möbius transformations ⋮ Curves with rational chord-length parametrization



Cites Work

  • Real rational curves are not `unit speed'
  • The circle as a smoothly joined BR-curve on [0,1]
  • Higher order Bézier circles
  • Unnamed Item
  • Unnamed Item


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