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arXiv · 1801.04146

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

François-Xavier Vialard
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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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François-Xavier Vialard. 2018-01-12. Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric. https://arxiv.org/abs/1801.04146

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