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COMPGEOM
2001
ACM
13 years 9 months ago
Walking in a triangulation
Given a triangulation in the plane or a tetrahedralization in 3-space, we investigate the efficiency of locating a point by walking in the structure with different
Olivier Devillers, Sylvain Pion, Monique Teillaud
COMPGEOM
2001
ACM
13 years 9 months ago
A fully dynamic algorithm for planar
We show how to maintain the width of a set of n planar points subject to insertions and deletions of points in O( n log3 n) amortized time per update. Previously, no fully dynami...
Timothy M. Chan
COMPGEOM
2001
ACM
13 years 9 months ago
A practical approach for computing the diameter of a point set
We present an approximation algorithm for computing the diameter of a point-set in d-dimensions. The new algorithm is sensitive to the "hardness" of computing the diamet...
Sariel Har-Peled
COMPGEOM
2001
ACM
13 years 9 months ago
Balanced lines, halving triangles, and the generalized lower bound theorem
A recent result by Pach and Pinchasi on so-called balanced lines of a finite two-colored point set in the plane is related to other facts on halving triangles in 3-space and to a ...
Micha Sharir, Emo Welzl
COMPGEOM
2001
ACM
13 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