Forbidden substructure theorems have proved to be among of the most versatile tools in bounding the complexity of geometric objects and the running time of geometric algorithms. T...
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
We solve instances of a general class of problems defined as follows: Preprocess a set S of possibly weighted colored geometric objects (e.g. points/orthogonal segments/rectangles...
In this paper we present a technique for rendering and simulating liquid foams in real time using GPUs [11, 12]. The goal is to have bubbles meeting physical properties when inter...
Geometric algorithms are based on geometric objects such as points, lines and circles. The term Kernel refers to a collection of representations for constant-size geometric objects...
Susan Hert, Michael Hoffmann, Lutz Kettner, Sylvai...
A flip or edge-replacement is considered as a transformation by which one edge e of a geometric object is removed and an edge f (f = e) is inserted such that the resulting object ...
Many safety-critical systems deal with geometric objects. Reasoning about the correctness of such systems is mandatory and requires the use of basic definitions of geometry for th...
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...