4 papers
The Density Fingerprint of a Periodic Point Set
Herbert Edelsbrunner, Teresa Heiss, Vitaliy Kurlin +2
Modeling a crystal as a periodic point set, we present a fingerprint consisting of density functions that facilitates the efficient search for new materials and material properties…
Local criteria for triangulation of manifolds
Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh +1
We present criteria for establishing a triangulation of a manifold. Given a manifold M, a simplicial complex A, and a map H from the underlying space of A to M, our criteria are pr…
Anisotropic triangulations via discrete Riemannian Voronoi diagrams
Jean-Daniel Boissonnat, Mael Rouxel-Labbé, Mathijs Wintraecken
The construction of anisotropic triangulations is desirable for various applications, such as the numerical solving of partial differential equations and the representation of surf…
Barycentric coordinate neighbourhoods in Riemannian manifolds
Ramsay Dyer, Gert Vegter, Mathijs Wintraecken
We quantify conditions that ensure that a signed measure on a Riemannian manifold has a well defined centre of mass. We then use this result to quantify the extent of a neighbourho…