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Numerical optimal transport computation between a measure carried by a set of line segments and a measure carried by a point cloud.

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lebrat/3forthOptimalTransport

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3/4 discrete optimal transport


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This codes are the implementation of the following paper. It allows to compute the exact optimal transport between a polyline (union of line segments) and a point cloud. This toolbox allows the calculation in 2D and 3D. We provide hands-on tutorials on the wiki.

The codes are released for Linux platforms (tested for Mint 18 Cinnamon 64-bit and Ubuntu 19.04 Disco Dingo).

The back-end computations are coded in C++ and make use of the computational geometry library CGAL and the linear algebra library Eigen3. We provide a python 3.7 interface by using the wrapper swig.

Authors

This software was developed by:

All members of the Toulouse institute of Mathematics France, this project was granted by the ANR-17-CE23-0013

License

This software is open source distributed under license MIT.

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Numerical optimal transport computation between a measure carried by a set of line segments and a measure carried by a point cloud.

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