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B. Gris - A sub-riemannian metric from constrained deformationsSub-riemannian days 2018


Description : A general method to study a population of objects (images, meshes) is to examine how these objects can be deformed by a chosen class of diffeomorphisms. When these objects satisfy some constraints (for instance biological constraints), it can be relevant to incorporate them in the choice of diffeomorphisms. We developed a generic framework to build constrained diffeomorphisms and showed that it allows to define a sub-riemannian structure on the space of objects under study. I will present this framework and show how it can be used in several situations.
Contributor : Fanny Bastien Connect in order to contact the contributor
Submitted on : Wednesday, December 19, 2018 - 1:40:28 PM
Last modification on : Saturday, June 19, 2021 - 3:50:17 AM
Long-term archiving on: : Wednesday, March 20, 2019 - 8:29:40 PM