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» Triangulations of Line Segment Sets in the Plane
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JUCS
2007
148views more  JUCS 2007»
13 years 7 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
3DGIS
2006
Springer
14 years 1 months ago
Building Reconstruction - Outside and In
The modelling or reconstruction of buildings has two aspects – on the one hand we need a data structure and the associated geometric information, and on the other hand we need a...
Christopher M. Gold, Rebecca O. C. Tse, Hugo Ledou...
STACS
2010
Springer
14 years 2 months ago
Long Non-crossing Configurations in the Plane
We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computation...
Noga Alon, Sridhar Rajagopalan, Subhash Suri
DMTCS
2010
157views Mathematics» more  DMTCS 2010»
13 years 4 months ago
Edge-Removal and Non-Crossing Configurations in Geometric Graphs
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
Oswin Aichholzer, Sergio Cabello, Ruy Fabila Monro...
GD
2006
Springer
13 years 11 months ago
Schematisation of Tree Drawings
Given a tree T spanning a set of points S in the plane, we study the problem of drawing T using only line segments aligned with a fixed set of directions C. The vertices in the dra...
Joachim Gudmundsson, Marc J. van Kreveld, Damian M...