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A sub-Riemannian modular approach for diffeomorphic deformations

Barbara Gris 1, 2 Stanley Durrleman 1 Alain Trouvé 2
1 ARAMIS - Algorithms, models and methods for images and signals of the human brain
Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6, ICM - Institut du Cerveau et de la Moëlle Epinière = Brain and Spine Institute
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.
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Submitted on : Wednesday, September 2, 2015 - 9:59:00 AM
Last modification on : Thursday, April 15, 2021 - 3:31:40 AM
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  • HAL Id : hal-01191540, version 1


Barbara Gris, Stanley Durrleman, Alain Trouvé. A sub-Riemannian modular approach for diffeomorphic deformations. 2nd conference on Geometric Science of Information, Oct 2015, Paris-Saclay, France. ⟨hal-01191540⟩



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