Mathematics – Probability
Scientific paper
2009-08-04
Mathematics
Probability
11 pages
Scientific paper
Optimal transport from the volume measure to a convex combination of Dirac measures yields a tessellation of a Riemannian manifold into pieces of arbitrary relative size. This tessellation is studied for the cost functions $c_p(z,y)=\frac{1}{p}d^p(z,y)$ and $1\leq p<\infty$. Geometric descriptions of the tessellations for all $p$ is obtained for compact subsets of the Euclidean space and the sphere. For $p=1$ this approach yields Laguerre tessellations for all compact Riemannian manifolds.
No associations
LandOfFree
Optimal Transport and Tessellation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Optimal Transport and Tessellation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal Transport and Tessellation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-557130