Highly detailed geometric models are rapidly becoming commonplace in computer graphics. These models, often represented as complex triangle meshes, challenge rendering performance...
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
A family of sets has the (p, q) property if among any p members of the family some q have a nonempty intersection. It is shown that for every p q d + 1 there is a c = c(p, q, d)...
We consider the problem of finding a short path between any two nodes of a network when no global information is available, nor any oracle to help in routing. A mobile agent, situa...
Ioannis Z. Emiris, Euripides Markou, Aris Pagourtz...
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...