Gabriel Lab

National Centre for Scientific Research (CNRS)

Ile-de-France (FR1) · France

ERC-funded
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Research focus

ERC Consolidator Grant · 2016

Numerical Optimal tRansport for ImAging

Optimal Transport (OT) theory provides a powerful framework to manipulate probability distributions using simple and intuitive geometric principles. OT distances compare favorably to all other alternatives, notably Euclidean metrics or information divergences, whose outputs are particularly sensitive to changes in quantization and are not suitable to compare point clouds. Because of these and many more favorable properties, OT should be a standard tool in imaging sciences where probability distributions are routinely used. However, at this time, OT is but a confidential tool restricted to niche applications. OT is barely used because it is complex mathematically, which hinders its…

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