niot

Network Inpainting via Optimal Transport

https://github.com/enricofacca/niot

Science Score: 67.0%

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    Found 1 DOI reference(s) in README
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    Links to: arxiv.org
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    Low similarity (7.0%) to scientific vocabulary
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Repository

Network Inpainting via Optimal Transport

Basic Info
  • Host: GitHub
  • Owner: enricofacca
  • License: mit
  • Language: Python
  • Default Branch: main
  • Size: 11.1 MB
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  • Watchers: 2
  • Forks: 0
  • Open Issues: 0
  • Releases: 2
Created about 3 years ago · Last pushed 6 months ago
Metadata Files
Readme License Citation

README.md

Description

Network Inpainting via Optimal Transport (NIOT) is a python package for reconstructing corrupted networks based on optimal (branched) transport principles. See [^1] for all details (preprint available here).

Installation

The code is written in python and it is based on Firedrake. Check the dedicated page for installation guidance. Consider also installing using firedrake-install --doi 10.5281/zenodo.11242360 to ensure having the same software used in the manuscript [^1].

Clone this repository with git clone https://github.com/enricofacca/niot.git move in the niot directory, and install the niot package with pip install -e .

Examples

Move in the directory examples/2024FaccaNordbottenHanson and follow the instruction to reproduce the results of the paper.

Authors

Enrico Facca, enrico.facca@uib.no : Departement of Mathematics, University of Bergen, Bergen, Norway.

[^1]:"Network Inpainting via Optimal Transport" Enrico Facca, Jan Martin Nordbotten, Erik Andreas Hanson

Owner

  • Name: enrico facca
  • Login: enricofacca
  • Kind: user
  • Company: INRIA Lille, France

Citation (citations/citations.bib)





@article{FCP2018,
author = {Facca, Enrico and Cardin, Franco and Putti, Mario},
title = {Towards a Stationary Monge--Kantorovich Dynamics: The Physarum Polycephalum Experience},
journal = {SIAM Journal on Applied Mathematics},
volume = {78},
number = {2},
pages = {651-676},
year = {2018},
doi = {10.1137/16M1098383},
URL = {https://doi.org/10.1137/16M1098383},
eprint = {https://doi.org/10.1137/16M1098383}
}

@article{FCP2021,
    title = {Branching structures emerging from a continuous optimal transport model},
    journal = {Journal of Computational Physics},
    volume = {447},
    pages = {110700},
    year = {2021},
    issn = {0021-9991},
    doi = {https://doi.org/10.1016/j.jcp.2021.110700},
    url = {https://www.sciencedirect.com/science/article/pii/S0021999121005957},
    author = {Enrico Facca and Franco Cardin and Mario Putti},
    eprint={1811.12691},
    archivePrefix={arXiv},
    primaryClass={math.NA}
    }

@inproceedings{dahl2023fast,
  title={Fast Local Thickness},
  author={Dahl, Vedrana Andersen and Dahl, Anders Bjorholm},
  booktitle={Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops},
  pages={4335--4343},
  year={2023}
}

@article{van2014scikit,
  title={scikit-image: image processing in Python},
  author={Van der Walt, Stefan and Sch{\"o}nberger, Johannes L and Nunez-Iglesias, Juan and Boulogne, Fran{\c{c}}ois and Warner, Joshua D and Yager, Neil and Gouillart, Emmanuelle and Yu, Tony},
  journal={PeerJ},
  volume={2},
  pages={e453},
  year={2014},
  publisher={PeerJ Inc.}
}

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Dependencies

.github/workflows/ci.yml actions
  • actions/checkout v2 composite
requirements.txt pypi
  • numpy *
setup.py pypi