Abstract
In this paper, we develop several related finite dimensional variational principles for discrete optimal transport (DOT), Minkowski type problems for convex polytopes and discrete Monge-Ampere equation (DMAE). A link between the discrete optimal transport, the discrete Monge-Ampere equation and the power diagram in computational geometry is established.
| Original language | English |
|---|---|
| Pages (from-to) | 383-398 |
| Number of pages | 16 |
| Journal | Asian Journal of Mathematics |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2016 |
Keywords
- Alexandrov problem
- Minkowski problem
- Monge-Ampere equation
- Power diagram
- Variational
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