Closed rational trigonometric curves and surfaces

DOI10.1016/j.cam.2010.03.009zbMath1194.65032OpenAlexW1970819854MaRDI QIDQ977414

Imre Juhász, Ágoston Róth

Publication date: 22 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.03.009

zbMATH Keywords

control pointsDupin cyclidelemniscate of BernoulliBoy surfaceclosed curves/surfacescyclic curves/surfacesquotient basisrational Bernstein and B-spline functionsrational curves/surfacesrational trigonometric polynomialsZhukovsky airfoil profile

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Control point based exact description of trigonometric/hyperbolic curves, surfaces and volumes ⋮ Dynamic Evaluation of Free-Form Curves and Surfaces ⋮ Linear models for statistical shape analysis based on parametrized closed curves

Cites Work

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• Complex rational Bézier curves
• A cyclic basis for closed curve and surface modeling
• Control point based exact description of a class of closed curves and surfaces
• Modifying the shape of rational B-splines. I: Curves
• C-curves: An extension of cubic curves
• Two different forms of C-B-splines
• A class of Bézier-like curves
• Nuat B-spline curves
• Unifying C-curves and H-curves by extending the calculation to complex numbers
• Optimal properties of the uniform algebraic trigonometric B-splines
• An orthogonal basis for the hyperbolic hybrid polynomial space

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