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DGCI
2000
Springer
15 years 10 months ago
A New Means for Investigating 3-Manifolds
The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as finite cell complexes. Th...
Vladimir Kovalevsky
COMPGEOM
1996
ACM
15 years 10 months ago
Smallest Enclosing Cylinders
This paper addresses the complexity of computing the smallest-radius infinite cylinder that encloses an input set of n points in 3-space. We show that the problem can be solved in...
Elmar Schömer, Jürgen Sellen, Marek Teic...
COMPGEOM
2001
ACM
15 years 9 months ago
Hierarchical morse complexes for piecewise linear 2-manifolds
We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
Herbert Edelsbrunner, John Harer, Afra Zomorodian
185
Voted
COMPGEOM
1991
ACM
15 years 9 months ago
The Two Guards Problem
Given a simple polygon in the plane with two distinguished vertices, s and g, is it possible for two guards to simultaneously walk along the two boundary chains from s to g in suc...
Christian Icking, Rolf Klein
159
Voted
COMPGEOM
2005
ACM
15 years 8 months ago
Multi-pass geometric algorithms
We initiate the study of exact geometric algorithms that require limited storage and make only a small number of passes over the input. Fundamental problems such as lowdimensional...
Timothy M. Chan, Eric Y. Chen
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