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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
SIAMCOMP
2002
95views more  SIAMCOMP 2002»
13 years 7 months ago
A Linear Algorithm for Finding the Invariant Edges of an Edge-Weighted Graph
Given an edge-weighted graph where all weights are nonnegative reals, an edge reweighting is an assignment of nonnegative reals to edges such that, for each vertex, the sums of giv...
Francesco M. Malvestuto, Mauro Mezzini
GD
2009
Springer
13 years 10 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
JSC
2007
71views more  JSC 2007»
13 years 7 months ago
Rational invariants of a group action. Construction and rewriting
Geometric constructions applied to a rational action of an algebraic group lead to a new algorithm for computing rational invariants. A finite generating set of invariants appear...
Evelyne Hubert, Irina A. Kogan
COMPGEOM
2011
ACM
12 years 11 months ago
Integer representations of convex polygon intersection graphs
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...