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JCDCG
2004
Springer
15 years 3 months ago
Farthest-Point Queries with Geometric and Combinatorial Constraints
In this paper we discuss farthest-point problems in which a set or sequence S of n points in the plane is given in advance and can be preprocessed to answer various queries efficie...
Ovidiu Daescu, Ningfang Mi, Chan-Su Shin, Alexande...
COMPGEOM
2000
ACM
15 years 2 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
COMPGEOM
2000
ACM
15 years 2 months ago
Look - a Lazy Object-Oriented Kernel for geometric computation
In this paper we describe and discuss a new kernel design for geometric computation in the plane. It combines different kinds of floating-point filter techniques and a lazy eval...
Stefan Funke, Kurt Mehlhorn
COMPGEOM
2000
ACM
15 years 2 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
COMPGEOM
1999
ACM
15 years 2 months ago
Crust and Anti-Crust: A One-Step Boundary and Skeleton Extraction Algorithm
We wish to extract the topology from scanned maps. In previous work [15] this was done by extracting a skeleton from the Voronoi diagram, but this required vertex labelling and wa...
Christopher M. Gold