Let (S, d) be a finite metric space, where each element p ∈ S has a non-negative weight w(p). We study spanners for the set S with respect to weighted distance function dw, wher...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
For a sufficiently dense set of points in any closed Riemannian manifold, we prove that a unique Delannay triangulation exists. This triangulation has the same properties as in Eu...
Shape deformation refers to the continuous change of one geometric object to another. We develop a software tool for planning, analyzing, and visualizing deformations between two ...
Siu-Wing Cheng, Herbert Edelsbrunner, Ping Fu, Ka-...
We present a multi-dimensional generalization of the Szemer´edi-Trotter Theorem, and give a sharp bound on the number of incidences of points and not-too-degenerate hyperplanes i...
This paper introduces a new algorithm dedicated to the rigorous reachability analysis of nonlinear dynamical systems. The algorithm is initially presented in the context of discre...