A Sub-Riemannian Modular Approach for Diffeomorphic Deformations

Abstract

We develop a generic framework to build large deformations from a combination of base modules. These modules constitute a dynamical dictionary to describe transformations. The method, built on a coherent sub-Riemannian framework, defines a metric on modular deformations and characterises optimal deformations as geodesics for this metric. We will present a generic way to build local affine transformations as deformation modules, and display examples.

DOI: 10.1007/978-3-319-25040-3_5

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@inproceedings{Gris2015ASM, title={A Sub-Riemannian Modular Approach for Diffeomorphic Deformations}, author={Barbara Gris and Stanley Durrleman and Alain Trouv{\'e}}, booktitle={GSI}, year={2015} }