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This œuvre, A sub-Riemannian modular approach for diffeomorphic deformations, by Stanley Durrleman is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

A sub-Riemannian modular approach for diffeomorphic deformations

A sub-Riemannian modular approach for diffeomorphic deformations
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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.
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A sub-Riemannian modular approach for diffeomorphic deformations
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