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» Testing Geometric Convexity
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FSTTCS
2004
Springer
13 years 10 months ago
Testing Geometric Convexity
We consider the problem of determining whether a given set S in Rn is approximately convex, i.e., if there is a convex set K ∈ Rn such that the volume of their symmetric differe...
Luis Rademacher, Santosh Vempala
FOCS
2006
IEEE
13 years 11 months ago
Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...
Luis Rademacher, Santosh Vempala
ICRA
2005
IEEE
114views Robotics» more  ICRA 2005»
13 years 10 months ago
Geometric Reformulation of 3-Fingered Force-Closure Condition
— This paper addresses the problem of testing whether three contact points form a 3-fingered force-closure grasp in two dimensions. In particular, assuming frictional point cont...
Attawith Sudsang, Thanathorn Phoka
FOCS
2009
IEEE
13 years 11 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...
ICCV
2005
IEEE
13 years 10 months ago
Convex Grouping Combining Boundary and Region Information
Convexity is an important geometric property of many natural and man-made structures. Prior research has shown that it is imperative to many perceptual-organization and imageunder...
Joachim S. Stahl, Song Wang