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Global divergences between measure: from Hausdorff distance to Optimal Transport

Authors: Jean Feydy, Alain Trouvé

Here is the code that we used to generate the figures of our ShapeMI2018 paper, presented at Miccai2018 in Grenada.

  • Figure 1: demo_2D.py
  • Figure 2: kernel_1D.py + PgfPlot
  • Figure 3: demo_2D.py
  • Figure 4: demo_2D.py
  • Figure 5: softmin_1D.py + PgfPlot
  • Figure 6: demo_2D.py
  • Figure 7: demo_sinkhorn.py
  • Figure 8: Unfortunately, an old script that I lost :-(
  • Figure 9: demo_sinkhorn.py
  • Figure 10: demo_sinkhorn.py
  • Figure 11: benchmarks.py + PgfPlot
  • Figure 12: demo_3D.py + 3D Slicer (Load source and target as "Volumes" and segment them using the "Threshold" tool in segment editor; Load the vector fields as "Transforms" and display them in the transform panel; Don't forget to tick the Slice view and 3D View wrt. the source volume. )