14 citations · 16 across the 2 of their papers we have counts for
4 papers
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…
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…
A probabilistic approach to reducing the algebraic complexity of computing Delaunay triangulations
Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh
Computing Delaunay triangulations in involves evaluating the so-called in\_sphere predicate that determines if a point lies inside, on or outside the sphere circ…
Constructing Intrinsic Delaunay Triangulations of Submanifolds
Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh
We describe an algorithm to construct an intrinsic Delaunay triangulation of a smooth closed submanifold of Euclidean space. Using results established in a companion paper on the s…