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» Triangulations of Line Segment Sets in the Plane
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146
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JUCS
2007
148views more  JUCS 2007»
15 years 1 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
142
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3DGIS
2006
Springer
15 years 7 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...
116
Voted
STACS
2010
Springer
15 years 8 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»
14 years 11 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
15 years 5 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...