We present a new algorithm to compute stable discrete minimal surfaces bounded by a number of xed or free boundary curves in R 3 , S 3 and H 3 . The algorithm makes no restriction on the genus andâ€¦ (More)

A new method for noise removal of arbitrary surfaces meshes is presented which focuses on the preservation and sharpening of non-linear geometric features such as curved surface regions and featureâ€¦ (More)

We introduce an algorithm for the automatic computation of global parameterizations on arbitrary simplicial 2manifolds, whose parameter lines are guided by a given frame field, for example, byâ€¦ (More)

Geodesic curves are the fundamental concept in geometry to generalize the idea of straight lines to curved surfaces and arbitrary manifolds. On polyhedral surfaces we introduce the notion of discreteâ€¦ (More)

The use of point sets instead of meshes became more popular during the last years. We present a new method for anisotropic fairing of a point sampled surface using an anisotropic geometric meanâ€¦ (More)

We derive a Hodge decomposition of discrete vector fields on polyhedral surfaces, and apply it to the identification of vector field singularities. This novel approach allows us to easily detect andâ€¦ (More)

We introduce FreeLence, a novel and simple single-rate compression c oder for triangle manifold meshes. Our method uses free valences and exploits geometric information for connectivity encoding.â€¦ (More)

Feature lines are salient surface characteristics. Their definition involves third and fourth order surface derivatives. This often yields to unpleasantly rough and squiggly feature lines since thirdâ€¦ (More)