Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
In this paper we present a new framework for collision and self-collision detection for highly deformable objects such as cloth. It permits to efficiently trade off accuracy for s...
In this paper we introduce novel geometric concepts, namely category regions, in the original framework of Fuzzy-ART (FA) and FuzzyARTMAP (FAM). The definitions of these regions a...
Georgios C. Anagnostopoulos, Michael Georgiopoulos
We describe how to count the cases that arise in a family of visualization techniques, including Marching Cubes, Sweeping Simplices, Contour Meshing, Interval Volumes, and Separat...