pierrelouis-antonsanti / partialmatchingvarifolds

This is the code associated to the paper Partial Matching in the Space of Varifolds from The 27th international conference on Information Processing in Medical Imaging (June, 2021) (preprint : https://arxiv.org/abs/2103.12441 )

PartialMatchingVarifolds

This is the code associated to the paper Partial Matching in the Space of Varifolds from The 27th international conference on Information Processing in Medical Imaging (June, 2021) (preprint : https://arxiv.org/abs/2103.12441 )

Dependancies : 
- numpy
- torch
- pykeops (see : https://www.kernel-operations.io/keops/python/installation.html)

The examples can be run with the scripts :

example_surfaces.py 
example_vascular_trees.py 

Each example save the results in /results/surfaces 
                                         /vascular_trees 
                                         
With the files :  
scale_N.npz             : the output mesh (tree or surface) of the deformation at the different data attachment scales N. 
Momenta_scale_N.npy     : the initial momenta to use to reproduce the deformation at the different data attachment scales N. 
resume_optimization.txt : the number of iterations and the loss function value at each data attachment scale N.  

control_points.npy      : control points for the final deformation.  
momenta2apply.npy       : the initial momenta to use to reproduce final deformation. 



The optimization of the loss function at each data attachment scale is monitored and saved in /results/surfaces/dict_resume_opt/