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CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 4 months ago
Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from its eigenvalues and eigenfunctio...
Xianfeng David Gu, Ren Guo, Feng Luo 0002, Wei Zen...
GECCO
2000
Springer
113views Optimization» more  GECCO 2000»
13 years 9 months ago
A Non-Linear Schema Theorem for Genetic Algorithms
We generalize Holland's Schema Theorem to the setting that genes are arranged, not necessarily in a linear sequence, but as the nodes in a connected graph. We have experiment...
William A. Greene
WG
2010
Springer
13 years 4 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
IJRR
2006
89views more  IJRR 2006»
13 years 5 months ago
Time-optimal Trajectories for an Omni-directional Vehicle
A common mobile robot design consists of three `omniwheels' arranged at the vertices of an equilateral triangle, with wheel axles aligned with the rays from the center of the...
Devin J. Balkcom, Paritosh A. Kavathekar, Matthew ...
CCCG
2010
13 years 3 months ago
Determining the robustness of sensor barriers
Various notions of coverage provided by wireless sensor networks have attracted considerable attention over the past few years. In general, coverage can be expressed geometrically...
David G. Kirkpatrick