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» Dynamic Planar Convex Hull
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CORR
2011
Springer
157views Education» more  CORR 2011»
14 years 4 months ago
Convex Hull of Imprecise Points in o(n \log{n}) Time after Preprocessing
Motivated by the desire to cope with data imprecision [8], we study methods for preprocessing a set of planar regions such that whenever we are given a set of points, each of whic...
Esther Ezra, Wolfgang Mulzer
104
Voted
DCG
2007
102views more  DCG 2007»
15 years 5 days ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
CORR
2002
Springer
93views Education» more  CORR 2002»
15 years 1 days ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
DIMACS
2001
15 years 1 months ago
Combinatorial Roadmaps in Configuration Spaces of Simple Planar Polygons
Abstract. One-degree-of-freedom mechanisms induced by minimum pseudotriangulations with one convex hull edge removed have been recently introduced by the author to solve a family o...
Ileana Streinu
167
Voted
COMPGEOM
2011
ACM
14 years 3 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan