Blending two cones with Dupin cyclides

DOI10.1016/S0167-8396(97)00029-0zbMath0905.68151MaRDI QIDQ1128912

Ching-Kuang Shene

Publication date: 13 August 1998

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

zbMATH Keywords

blendingDupin cyclidenatural quadricscommon inscribed sphereplanar intersection

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (6)

Constructive \(G^1\) connection of multiple freeform pipes in arbitrary poses ⋮ Cyclides and the guiding circle ⋮ A new approach to canal surface with parallel transport frame ⋮ On the parameterization of rational ringed surfaces and rational canal surfaces ⋮ \(G^{n}\)-continuous connections between normal ringed surfaces ⋮ Branching blend of natural quadrics based on surfaces with rational offsets

Cites Work

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• 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
• The geometry of projective blending surfaces
• Quartic supercyclides I: Basic theory
• Do blending and offsetting commute for Dupin cyclides?
• Curvature continuous connections of cones and cylinders
• Blending algebraic surfaces

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