Computing parametric rational generating functions with a primal Barvinok algorithm.
Configuration spaces and limits of voronoi diagrams
The Voronoi diagram of n distinct generating points divides the plane into cells, each of which consists of points most close to one particular generator. After introducing 'limit Voronoi diagrams' by analyzing diagrams of moving and coinciding points, we define compactifications of the configuration space of n distinct, labeled points. On elements of these compactifications we define Voronoi diagrams.
Constructive approximation of a ball by polytopes
Convex Polyhedra With Triangular Faces and Cone Triangulation
Cutting Hyperplanes for Divide-and-Conquer.