Computation of Yvon-Villarceau circles on Dupin cyclides and construction of circular edge right triangles on tori and Dupin cyclides

DOI10.1016/j.camwa.2014.10.020zbMath1369.65030OpenAlexW2054788801MaRDI QIDQ2400688

Hichem Barki, Lionel Garnier, Loic Puech, Sebti Foufou

Publication date: 30 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.10.020

zbMATH Keywords

inversionring toruscircular edge right trianglering Dupin cyclideYvon-Villarceau circle

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

• Rational parametric representation of parabolic cyclide: Formulation and applications
• Cyclides in computer aided geometric design
• On cyclides in geometric modeling
• Dupin hypersurfaces
• Manifolds admitting taut hyperspheres
• Quartic supercyclides I: Basic theory
• Construction of Bézier rectangles and triangles on the symmetric Dupin horn cyclide by means of inversion
• The spherical two-piece property and tight surfaces in spheres
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