Cyclides in computer aided geometric design
Computer Aided Geometric Design
On cyclides in geometric modeling
Computer Aided Geometric Design
Geometric concepts for geometric design
Geometric concepts for geometric design
Rational parametric representation of parabolic cyclide: formulation and applications
Computer Aided Geometric Design
Canal surfaces and inversive geometry
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Computer Aided Geometric Design
Three views of Dupin cyclides and blending of cones
Applied Numerical Mathematics - Applied and computational mathematics: Selected papers of the third panamerican workshop Trujillo, Peru, 24-28 April 2000
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Canal surfaces are envelopes of 1-parameter families of spheres. Via a one to one correspondence between spheres and planes of 3D and points of 5-dimensional space, 1-parameter families of spheres correspond to curves in this space. Tables 1 and 2 present how to translate objects (spheres, planes, conics, circles, etc.) and relationships (tangency, orthogonality, coplanarity, cosphericity, etc.) from the 3D into the 5-dimensional context.