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DCG
1998
59views more  DCG 1998»
13 years 4 months ago
Piercing d -Intervals
Noga Alon
DCG
1998
66views more  DCG 1998»
13 years 4 months ago
The Volume as a Metric Invariant of Polyhedra
It is proved that in R3 the volume of any polyhedron is a root of some polynomial with coefficients depending only on the combinatorial structure and the metric of the polyhedron....
Idzhad Kh. Sabitov
DCG
1998
80views more  DCG 1998»
13 years 4 months ago
Fitting a Set of Points by a Circle
Given a set of points S = fp1; : : : ; png in Euclidean d-dimensional space, we address the problem of computing the d-dimensional annulus of smallest width containing the set. We...
Jesus Garcia-Lopez, Pedro A. Ramos, Jack Snoeyink
DCG
2010
53views more  DCG 2010»
13 years 4 months ago
A Revision of the Proof of the Kepler Conjecture
Abstract. The Kepler conjecture asserts that no packing of congruent balls in three-dimensional Euclidean space has density greater than that of the face-centered cubic packing. Th...
Thomas C. Hales, John Harrison, Sean McLaughlin, T...
DCG
1998
53views more  DCG 1998»
13 years 4 months ago
Motion Planning in Environments with Low Obstacle Density
We present a simple and e cient paradigm for computing the exact solution of the motionplanning problem in environments with a low obstacle density. Such environments frequently o...
A. Frank van der Stappen, Mark H. Overmars, Mark d...