Groups of diffeomorphisms and shape spaces
Seminar Room 1, Newton Institute
AbstractThis tutorial will describe the basic steps of the construction of shape spaces via the action of diffeomorphic transformations. We will discuss how right-invariant distances and Riemannian metrics can be projected onto distances or metrics on shape spaces, and review how they can be built in a computational framework. We will then discuss particular cases, with a special focus on point sets, and show applications of this framework to registration problems and data analysis in shape spaces.
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