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» Computational geometry for sculpture
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COMPGEOM
1991
ACM
15 years 10 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
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
COMPGEOM
2005
ACM
15 years 8 months ago
Hadwiger and Helly-type theorems for disjoint unit spheres in R3
Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen
COMPGEOM
2005
ACM
15 years 8 months ago
Fast construction of nets in low dimensional metrics, and their applications
We present a near linear time algorithm for constructing hierarchical nets in finite metric spaces with constant doubling dimension. This data-structure is then applied to obtain...
Sariel Har-Peled, Manor Mendel
DGCI
2008
Springer
15 years 8 months ago
Geometric Feature Estimators for Noisy Discrete Surfaces
Abstract. We present in this paper robust geometric feature estimators on the border of a possibly noisy discrete object. We introduce the notion of patch centered at a point of th...
Laurent Provot, Isabelle Debled-Rennesson