In this paper we prove that for any simple polygon P with n vertices, the sum of the number of strictly internal edges and the number of strictly external visibility edges of P is...
Motivated by the problem of labeling maps, we investigate the problem of computing a large non-intersecting subset in a set of n rectangles in the plane. Our results are as follow...
Pankaj K. Agarwal, Marc J. van Kreveld, Subhash Su...
Fast and efficient exploration of large terrains in a virtual reality manner requires different levels of detail to speedup processing of terrain parts in background. Thus, the tr...
Christoph Stamm, Stephan Eidenbenz, Renato Pajarol...
In this paper, we study weak {proximity drawings. All known algorithms that compute (weak) proximity drawings produce representations whose area increases exponentiallywith the nu...
Let S be any family of n c-oriented polygons of the two-dimensional Euclidean plane E2 , i.e., bounded intersection of halfplanes whose normal directions of edges belong to a
Given a set P of n points in Rd, a fundamental problem in computational geometry is concerned with finding the smallest shape of some type that encloses all the points of P. Well-...
David M. Mount, Nathan S. Netanyahu, Christine D. ...
We show that three /6 vertex floodlights suffice to illuminate any triangle, and we prove that any quadrilateral can be illuminated by three /4 vertex floodlights.
Felipe Contreras, Jurek Czyzowicz, Nicolas Fraiji,...