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Improving Clough-Tocher interpolants

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Publication:671593
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DOI10.1016/0167-8396(95)00052-6zbMath0900.68409OpenAlexW1973658208MaRDI QIDQ671593

Praveen Kashyap

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-8396(95)00052-6



Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Interpolation in approximation theory (41A05)


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A new B-spline representation for cubic splines over Powell-Sabin triangulations ⋮ Watertight conversion of trimmed CAD surfaces to Clough-Tocher splines ⋮ A smooth surface interpolation to 3D triangulations. ⋮ Cubic precision Clough-Tocher interpolation



Cites Work

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  • Contouring a bivariate quadratic polynomial over a triangle
  • A modified Clough-Tocher interpolant
  • A survey of curve and surface methods in CAGD
  • An \(n\)-dimensional Clough-Tocher interpolant
  • Fairing cubic B-spline curves
  • Twists, curvatures and surface interrogation
  • Triangular finite elements of HCT type and class \(C^ \rho\)
  • Scattered Data Interpolation: Tests of Some Method
  • C1 quintic interpolation over triangles: Two explicit representations
  • An iterative Clough-Tocher interpolant
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