Cyclides in computer aided geometric design
Computer Aided Geometric Design
On cyclides in geometric modeling
Computer Aided Geometric Design
Applications of Cyclide Surfaces in Geometric Modelling
Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces
Cyclides in solid modelling: recent developments
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Quartic supercyclides for geometric design
From geometric modeling to shape modeling
IEEE Computer Graphics and Applications
Obtaining implicit equations of supercyclides and definition of elliptic supercyclides
Machine Graphics & Vision International Journal
Blending canal surfaces based on PH curves
Journal of Computer Science and Technology
Computing the Voronoi cells of planes, spheres and cylinders in R3
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
Computing the Voronoi cells of planes, spheres and cylinders in R3
Computer Aided Geometric Design
Modeling with rational biquadratic splines
Computer-Aided Design
Blends of canal surfaces from polyhedral medial transform representations
Computer-Aided Design
Conversion of dupin cyclide patches into rational biquadratic bézier form
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Parameterizing rational offset canal surfaces via rational contour curves
Computer-Aided Design
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It is shown that Dupin cyclides (C.P. Dupin, 1822), as surfaces in computer-aided geometric design (CAGD), have attractive properties such as low algebraic degree, rational parametric forms, and an easily comprehensible geometric representation using simple and intuitive geometric parameters. Their alternative representations permit the transition between forms when one or the other is more convenient for a specific purpose. Cyclides provide is useful extension of geometric coverage in solid modeling, primarily as blending surfaces for many commonly occurring situations. The geometry, properties, and uses of the Dupin cyclide in free-form surface modeling and blending are discussed.