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COMPGEOM
2009
ACM
14 years 4 months ago
Cache-oblivious range reporting with optimal queries requires superlinear space
We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
COMPGEOM
2009
ACM
14 years 4 months ago
Proximity of persistence modules and their diagrams
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
Frédéric Chazal, David Cohen-Steiner...
COMPGEOM
2009
ACM
14 years 4 months ago
Near-linear approximation algorithms for geometric hitting sets
Given a set system (X, R), the hitting set problem is to find a smallest-cardinality subset H ⊆ X, with the property that each range R ∈ R has a non-empty intersection with H...
Pankaj K. Agarwal, Esther Ezra, Micha Sharir
COMPGEOM
2009
ACM
14 years 4 months ago
Embedding rivers in polyhedral terrains
Data conflation is a major issue in GIS: spatial data obtained from different sources, using different acquisition techniques, needs to be combined into one single consistent d...
Marc J. van Kreveld, Rodrigo I. Silveira
COMPGEOM
2009
ACM
14 years 4 months ago
Shooting permanent rays among disjoint polygons in the plane
We present a data structure for ray shooting-and-insertion in the free space among disjoint polygonal obstacles with a total of n vertices in the plane, where each ray starts at t...
Mashhood Ishaque, Bettina Speckmann, Csaba D. T&oa...