We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
We present the first parallel algorithm for building a Hausdorff Voronoi diagram (HVD). Our algorithm is targeted towards cluster computing architectures and computes the Hausdor...
Frank K. H. A. Dehne, Anil Maheshwari, Ryan Taylor
The Hausdorff distance between two sets of curves is a measure for the similarity of these objects and therefore an interesting feature in shape recognition. If the curves are alg...
Given a set S of n point sites in the plane, the City Voronoi diagram partitions the plane into the Voronoi regions of the sites, with respect to the City metric. This metric is i...
Given a set of points called sites, the Voronoi diagram is a partition of the plane into sets of points having the same closest site. Several generalizations of the Voronoi diagra...