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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
CCCG
2006
13 years 9 months ago
Polygons Flip Finitely: Flaws and a Fix
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
CCCG
2010
13 years 9 months ago
On the variance of random polygons
A random polygon is the convex hull of uniformly distributed random points in a convex body K R2 . General upper bounds are established for the variance of the area of a random p...
William L. Steiger, Imre Bárány
COMPGEOM
1995
ACM
13 years 11 months ago
A Comparison of Sequential Delaunay Triangulation Algorithms
This paper presents an experimental comparison of a number of different algorithms for computing the Deluanay triangulation. The algorithms examined are: Dwyer’s divide and conq...
Peter Su, Robert L. (Scot) Drysdale III
FOCS
2009
IEEE
14 years 2 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...