Cyclides in computer aided geometric design
Computer Aided Geometric Design
On cyclides in geometric modeling
Computer Aided Geometric Design
An algebraic approach to curves and surfaces on the sphere and on other quadrics
Selected papers of the international symposium on Free-form curves and free-form surfaces
Rational parametric representation of parabolic cyclide: formulation and applications
Computer Aided Geometric Design
Studying cyclides with Laguerre geometry
Computer Aided Geometric Design
Universal parametrization and interpolation on cubic surfaces
Computer Aided Geometric Design
SCCG '01 Proceedings of the 17th Spring conference on Computer graphics
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Universal parametrizations have been developed as an useful tool for working with rational surfaces. For example, they allow the systematic classification of rational curves with low degree on the surface and can be used for interpolation problems. Unfortunately, it is conjectured, that not every rational surface has a universal parametrization. To make the advantages usable for more surfaces, we introduce "almost universal parametrizations" as a generalization of universal parametrizations. We present them exemplarily for a special class of cubic surfaces, which do probably not possess a universal parametrization, and show applications.