A Sub-Riemannian Modular Approach for Diffeomorphic Deformations

  • Barbara GrisEmail author
  • Stanley Durrleman
  • Alain Trouvé
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9389)


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.


Vector Field Deformation Module Geometrical Descriptor Local Translation Compound Module 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Barbara Gris
    • 1
    • 2
    Email author
  • Stanley Durrleman
    • 2
  • Alain Trouvé
    • 1
  1. 1.CMLA, UMR 8536École normale supérieure de CachanCachanFrance
  2. 2.Inria Paris-RocquencourtSorbonne Universités, UPMC Univ Paris 06 UMR S1127, Inserm U1127, CNRS UMR 7225, ICMParisFrance

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