
Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric
Vialard, François-Xavier (2018), Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric. https://basepub.dauphine.fr/handle/123456789/17942
Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-01682108Date
2018Series title
Cahier de recherche CEREMADE, Université Paris-DauphinePages
10
Metadata
Show full item recordAbstract (EN)
In this note, we propose a variational framework in which the minimization of the acceleration on the group of diffeomorphisms endowed with a right-invariant metric is well-posed. It relies on constraining the acceleration to belong to a Sobolev space of higher-order than the order of the metric in order to gain compactness. It provides the theoretical guarantee of existence of minimizers which is compulsory for numerical simulations.Subjects / Keywords
Riemannian splines; diffeomorphism groups; right-invariant metricRelated items
Showing items related by title and author.
-
Di Marino, Simone; Natale, Andrea; Tahraoui, Rabah; Vialard, François-Xavier (2019-06) Document de travail / Working paper
-
Vialard, François-Xavier; Peyré, Gabriel; Nardi, Giacomo (2014) Document de travail / Working paper
-
Vialard, François-Xavier (2013) Article accepté pour publication ou publié
-
Tahraoui, Rabah; Vialard, François-Xavier (2016) Document de travail / Working paper
-
Vialard, François-Xavier; Trouvé, Alain (2010) Communication / Conférence