Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Curves and surfaces represented by polynomial support functions
Theoretical Computer Science
On rationally supported surfaces
Computer Aided Geometric Design
The geometry of the Moineau pump
Computer Aided Geometric Design
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Given a smooth surface patch we construct an approximating piecewise linear structure. More precisely, we produce a mesh for which virtually all vertices have valency three. We present two methods for the construction of meshes whose facets are tangent to the original surface. These two methods can deal with elliptic and hyperbolic surfaces, respectively. In order to describe and to derive the construction, which is based on a projective duality, we use the so-called support function representation of the surface and of the mesh, where the latter one has a piecewise linear support function.