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A Sub-Riemannian Modular Approach for Diffeomorphic Deformations

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Geometric Science of Information (GSI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9389))

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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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Author information

Authors and Affiliations

  1. CMLA, UMR 8536, École normale supérieure de Cachan, Cachan, France

    Barbara Gris & Alain Trouvé

  2. Inria Paris-Rocquencourt, Sorbonne Universités, UPMC Univ Paris 06 UMR S1127, Inserm U1127, CNRS UMR 7225, ICM, 75013, Paris, France

    Barbara Gris & Stanley Durrleman

Authors
  1. Barbara Gris
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  2. Stanley Durrleman
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  3. Alain Trouvé
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Corresponding author

Correspondence to Barbara Gris .

Editor information

Editors and Affiliations

  1. Bâtiment Alan Turing, CS35003, École Polytechnique, Palaiseau, France

    Frank Nielsen

  2. Thales Land\& Air Systems, Limours, France

    Frédéric Barbaresco

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Gris, B., Durrleman, S., Trouvé, A. (2015). A Sub-Riemannian Modular Approach for Diffeomorphic Deformations. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2015. Lecture Notes in Computer Science(), vol 9389. Springer, Cham. https://doi.org/10.1007/978-3-319-25040-3_5

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  • DOI: https://doi.org/10.1007/978-3-319-25040-3_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25039-7

  • Online ISBN: 978-3-319-25040-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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