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.
CITATION STYLE
Gris, B., Durrleman, S., & Trouvé, A. (2015). A sub-Riemannian modular approach for diffeomorphic deformations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9389, pp. 39–47). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_5
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