Optimal matching between curves in a manifold
| hal.structure.identifier | Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) [SAMM] | |
| dc.contributor.author | LE BRIGANT, Alice | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ARNAUDON, Marc | |
| hal.structure.identifier | THALES [France] | |
| dc.contributor.author | BARBARESCO, Frédéric | |
| dc.date.accessioned | 2024-04-04T02:31:37Z | |
| dc.date.available | 2024-04-04T02:31:37Z | |
| dc.date.issued | 2017 | |
| dc.date.conference | 2017 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190321 | |
| dc.description.abstractEn | This paper is concerned with the computation of an optimal matching between two manifold-valued curves. Curves are seen as elements of an infinite-dimensional manifold and compared using a Riemannian metric that is invariant under the action of the reparameterization group. This group induces a quotient structure classically interpreted as the ”shape space”. We introduce a simple algorithm allowing to compute geodesics of the quotient shape space using a canonical decomposition of a path in the associated principal bundle. We consider the particular case of elastic metrics and show simulations for open curves in the plane, the hyperbolic plane and the sphere. | |
| dc.language.iso | en | |
| dc.source.title | Geometric Science of Information | |
| dc.subject.en | optimal matching | |
| dc.subject.en | manifold-valued curves | |
| dc.subject.en | elastic metric | |
| dc.title.en | Optimal matching between curves in a manifold | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 2401.04743 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | Geometric Science of Information 2017 | |
| bordeaux.country | FR | |
| bordeaux.title.proceeding | Geometric Science of Information | |
| bordeaux.conference.city | Paris | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04374199 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04374199v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Geometric%20Science%20of%20Information&rft.date=2017&rft.au=LE%20BRIGANT,%20Alice&ARNAUDON,%20Marc&BARBARESCO,%20Fr%C3%A9d%C3%A9ric&rft.genre=unknown |
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