Quartic supercyclides I: Basic theory

DOI10.1016/S0167-8396(96)00057-XzbMath0906.65012OpenAlexW2091692250MaRDI QIDQ1391162

Michael J. Pratt

Publication date: 22 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(96)00057-x

zbMATH Keywords

algebraic surfacesblendingcyclidesquarticssupercyclides

Mathematics Subject Classification ID

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

Related Items (3)

Computation of Yvon-Villarceau circles on Dupin cyclides and construction of circular edge right triangles on tori and Dupin cyclides ⋮ Blending two cones with Dupin cyclides ⋮ Construction of Bézier rectangles and triangles on the symmetric Dupin horn cyclide by means of inversion

Cites Work

• Rational parametric representation of parabolic cyclide: Formulation and applications
• Cyclides in computer aided geometric design. II
• Cyclides in computer aided geometric design
• On cyclides in geometric modeling
• Piecewise algebraic surface patches
• Die zweifachen Blutelschen Kegelschnittflächen
• Eine differentialgeometrische Kennzeichnung der allgemeinen Dupinschen Zykliden. (A differential-geometric characterization of the general Dupin cyclides)
• Supercyclides and blending
• Cubicoids: modeling and visualization
• Geometric Hermite interpolation -- in memoriam Josef Hoschek
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