Sciweavers

COMPGEOM
2011
ACM
13 years 3 months ago
On the structure and composition of forbidden sequences, with geometric applications
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...
Seth Pettie
TCS
2008
13 years 11 months ago
Succinct representations of planar maps
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...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...
DCG
2010
137views more  DCG 2010»
13 years 12 months ago
Improved Results on Geometric Hitting Set Problems
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...
Nabil H. Mustafa, Saurabh Ray
CCCG
2009
14 years 28 days ago
Data Structures for Range Aggregation by Categories
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...
Saladi Rahul, Prosenjit Gupta, K. S. Rajan
VMV
2004
167views Visualization» more  VMV 2004»
14 years 1 months ago
Rendering and Simulation of Liquid Foams
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...
Martin Sunkel, Jan Kautz, Hans-Peter Seidel
WAE
2001
223views Algorithms» more  WAE 2001»
14 years 1 months ago
An Adaptable and Extensible Geometry Kernel
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...
CCCG
2006
14 years 1 months ago
On Planar Path Transformation
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 ...
Kamrul Islam, Selim G. Akl, Henk Meijer
ICFEM
2005
Springer
14 years 5 months ago
Using Three-Valued Logic to Specify and Verify Algorithms of Computational Geometry
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...
Jens Brandt, Klaus Schneider
COMPGEOM
2006
ACM
14 years 5 months ago
Colored intersection searching via sparse rectangular matrix multiplication
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...
Haim Kaplan, Micha Sharir, Elad Verbin
COMPGEOM
2009
ACM
14 years 6 months ago
PTAS for geometric hitting set problems via local search
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...
Nabil H. Mustafa, Saurabh Ray