Efficient Construction of UV-Diagram.

Construction of the Voronoi diagram for exploring various proximity relations of a given dataset is one of the fundamental problems in numerous application domains. Recent developments in this area allow constructing Voronoi diagram based on the dataset of uncertain objects which is known as Uncertain-Voronoi diagram (UV-diagram). In compare to the conventional Voronoi diagram of point set, the most efficient algorithm known to date for the UV-diagram construction requires extremely long running time because of its sophisticated geometric structure. This text introduces several efficient algorithms and techniques to construct the UV-diagram and compares the advantages and disadvantages with previously known algorithms and techniques in literature.