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» On the Reflexivity of Point Sets
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IPCO
2007
114views Optimization» more  IPCO 2007»
13 years 10 months ago
Distinct Triangle Areas in a Planar Point Set
Erd˝os, Purdy, and Straus conjectured that the number of distinct (nonzero) areas of the triangles determined by n noncollinear points in the plane is at least n−1 2 , which is...
Adrian Dumitrescu, Csaba D. Tóth
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 8 months ago
Searching dynamic point sets in spaces with bounded doubling dimension
We present a new data structure that facilitates approximate nearest neighbor searches on a dynamic set of points in a metric space that has a bounded doubling dimension. Our data...
Richard Cole, Lee-Ad Gottlieb
ICCV
2003
IEEE
14 years 1 months ago
Combinatorial Constraints on Multiple Projections of a Set of Points
Multiple projections of a scene cannot be arbitrary, the allowed configurations being given by matching constraints. This paper presents new matching constraints on multiple proj...
Tomás Werner
CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
14 years 5 days ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
JGAA
2006
108views more  JGAA 2006»
13 years 8 months ago
Planar embeddability of the vertices of a graph using a fixed point set is NP-hard
Let G = (V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the v...
Sergio Cabello