Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01682108
Contributor : François-Xavier Vialard <>
Submitted on : Friday, January 12, 2018 - 1:37:01 AM
Last modification on : Friday, April 19, 2019 - 4:54:49 PM
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  • HAL Id : hal-01682108, version 1
  • ARXIV : 1801.04146

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François-Xavier Vialard. Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric. 2018. ⟨hal-01682108⟩

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