We are interested in Voronoi diagrams as a tool in robot path planning, where the search for a path in an r-dimensional space may be simplified to a search on an (r- l)-dimensional...
We present a novel clustering algorithm for polygonal meshes which approximates a Centroidal Voronoi Diagram construction. The clustering provides an efficient way to construct un...
In this paper we introduce an algorithm for simplifying a 2D discrete region. This algorithm is based on a bipolar model of regions. Given a discrete region, we cut its Voronoi di...
Despite its important applications in various disciplines in science and engineering, the Euclidean Voronoi diagram for spheres, also known as an additively weighted Voronoi diagr...
In a paper that considered arithmetic precision as a limited resource in the design and analysis of algorithms, Liotta, Preparata and Tamassia defined an “implicit Voronoi diagr...