COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
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...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
Following recent work of Clarkson, we translate the coreset framework to the problems of finding the point closest to the origin inside a polytope, finding the shortest distance...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
Integration over a domain, such as a Euclidean space or a Riemannian manifold, is a fundamental problem across scientific fields. Many times, the underlying domain is only acces...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
A binary space partition (BSP) for a set of disjoint objects in Euclidean space is a recursive decomposition, where each step partitions the space (and some of the objects) along ...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
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...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
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...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
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...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
Computers with multiple processor cores using shared memory are now ubiquitous. In this paper, we present several parallel geometric algorithms that specifically target this envi...