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COMPGEOM
2009
ACM
16 years 9 days ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
COMPGEOM
2009
ACM
15 years 10 months ago
Kinetic spanners in Rd
We present a new (1 + ε)-spanner for sets of n points in Rd . Our spanner has size O(n/εd−1 ) and maximum degree O(logd n). The main advantage of our spanner is that it can be...
Mohammad Ali Abam, Mark de Berg
COMPGEOM
2009
ACM
16 years 9 days ago
Straight skeletons of three-dimensional polyhedra
This paper studies the straight skeleton of polyhedra in three dimensions. We first address voxel-based polyhedra (polycubes), formed as the union of a collection of cubical (axis...
Gill Barequet, Amir Vaxman
168
Voted
COMPGEOM
2009
ACM
16 years 9 days ago
Zigzag persistent homology and real-valued functions
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov
162
Voted
COMPGEOM
2009
ACM
16 years 9 days ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer