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» Convexity in Discrete Space
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ADCM
2006
101views more  ADCM 2006»
13 years 7 months ago
A general construction of barycentric coordinates over convex polygons
Barycentric coordinates are unique for triangles, but there are many possible generalizations to convex polygons. In this paper we derive sharp upper and lower bounds on all baryc...
Michael S. Floater, Kai Hormann, Géza K&oac...
NIPS
2001
13 years 9 months ago
The Concave-Convex Procedure (CCCP)
We introduce the Concave-Convex procedure (CCCP) which constructs discrete time iterative dynamical systems which are guaranteed to monotonically decrease global optimization/ener...
Alan L. Yuille, Anand Rangarajan
ICRA
2005
IEEE
124views Robotics» more  ICRA 2005»
14 years 1 months ago
Sensor-based Planning for Planar Multi-Convex Rigid Bodies
— This paper presents a method for a planar rigid body consisting of multiple convex bodies to explore an unknown planar workspace, i.e., an unknown configuration space diffeomo...
Ji Yeong Lee, Howie Choset
EOR
2002
87views more  EOR 2002»
13 years 7 months ago
On the finite convergence of successive SDP relaxation methods
Let F be a subset of the n-dimensional Euclidean space Rn represented in terms of a compact convex subset C0 and a set PF of nitely or in nitely many quadratic functions on Rn such...
Masakazu Kojima, Levent Tunçel
SIGECOM
2008
ACM
103views ECommerce» more  SIGECOM 2008»
13 years 7 months ago
Mechanism design over discrete domains
Often, we wish to design incentive-compatible algorithms for settings in which the players' private information is drawn from discrete domains (e.g., integer values). Our mai...
Ahuva Mu'alem, Michael Schapira