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COMGEO
2008
ACM
14 years 1 days ago
Encompassing colored planar straight line graphs
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...
COMGEO
2008
ACM
14 years 1 days ago
Decomposing a simple polygon into pseudo-triangles and convex polygons
In this paper we consider the problem of decomposing a simple polygon into subpolygons that exclusively use vertices of the given polygon. We allow two types of subpolygons: pseud...
Stefan Gerdjikov, Alexander Wolff
COMGEO
2008
ACM
14 years 1 days ago
Visibility maps of segments and triangles in 3D
Esther Moet, Christian Knauer, Marc J. van Kreveld
COMGEO
2008
ACM
14 years 16 days ago
Optimal location of transportation devices
We consider algorithms for finding the optimal location of a simple transportation device, that we call a moving walkway, consisting of a pair of points in the plane between which ...
Jean Cardinal, Sébastien Collette, Ferran H...
COMGEO
2008
ACM
14 years 16 days ago
Approximation of an open polygonal curve with a minimum number of circular arcs and biarcs
We present an algorithm for approximating a given open polygonal curve with a minimum number of circular arcs. In computer-aided manufacturing environments, the paths of cutting t...
Robert L. Scot Drysdale, Günter Rote, Astrid ...
COMGEO
2008
ACM
14 years 16 days ago
I/O-efficient algorithms for computing planar geometric spanners
Anil Maheshwari, Michiel H. M. Smid, Norbert Zeh
COMGEO
2008
ACM
14 years 16 days ago
Optimal core-sets for balls
Given a set of points P Rd and value > 0, an -core-set S P has the property that the smallest ball containing S is within of the smallest ball containing P. This paper shows ...
Mihai Badoiu, Kenneth L. Clarkson
COMGEO
2008
ACM
14 years 16 days ago
Covering point sets with two disjoint disks or squares
We study the following problem: Given a set of red points and a set of blue points on the plane, find two unit disks CR and CB with disjoint interiors such that the number of red ...
Sergio Cabello, José Miguel Díaz-B&a...
COMGEO
2008
ACM
14 years 16 days ago
Augmenting the connectivity of geometric graphs
Let G be a connected plane geometric graph with n vertices. In this paper, we study bounds on the number of edges required to be added to G to obtain 2-vertex or 2-edge connected ...
Manuel Abellanas, Alfredo García Olaverri, ...
COMGEO
2008
ACM
14 years 16 days ago
Recursive geometry of the flow complex and topology of the flow complex filtration
The flow complex is a geometric structure, similar to the Delaunay tessellation, to organize a set of (weighted) points in Rk. Flow shapes are topological spaces corresponding to ...
Kevin Buchin, Tamal K. Dey, Joachim Giesen, Matthi...