# optimal-mass-transport

**Repository Path**: forestsen_git/optimal-mass-transport

## Basic Information

- **Project Name**: optimal-mass-transport
- **Description**: Implement 2D optimal mass transport map based on theory in Gu. Domain can be unit circle or disk. Source measure is continuous, target measure is discrete.
- **Primary Language**: Unknown
- **License**: Not specified
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2020-08-09
- **Last Updated**: 2021-10-20

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

Optimal Mass Transport
---------------------------
Implement 2D optimal mass transport map based on theory in [Gu]. Domain can be unit circle or disk. Source measure is continuous, target measure is discrete. 

## Example:
Initial power digram is generated from random points, target area is set to 1/num_of_cells on all cells. left is initial power diagram, right is final power diagram.

![alt text](result/square.pd.png "power diagram")

See demo*.m for more examples.

## Dependency:
* [geometry-processing-package][GPP] (download manually)
* [geom2d][geom2d]
* [polybool_cliper][polybool] replace Matlab's builtin functions polybool and polyarea
* [export_fig][export_fig] (optional, use to generate fig)

   [Gu]: <http://dx.doi.org/10.4310/AJM.2016.v20.n2.a7>
   [GPP]: <https://github.com/group-gu/geometry-processing-package> 
   [export_fig]: <https://github.com/altmany/export_fig>
   [geom2d]: <https://github.com/dlegland/matGeom>
   [polybool]: <https://github.com/group-gu/polybool_clipper>