Geodesic Shooting for Computational Anatomy

@article{Miller2005GeodesicSF,
  title={Geodesic Shooting for Computational Anatomy},
  author={Michael I. Miller and Alain Trouv{\'e} and Laurent Younes},
  journal={Journal of Mathematical Imaging and Vision},
  year={2005},
  volume={24},
  pages={209-228}
}
Studying large deformations with a Riemannian approach has been an efficient point of view to generate metrics between deformable objects, and to provide accurate, non ambiguous and smooth matchings between images. In this paper, we study the geodesics of such large deformation diffeomorphisms, and more precisely, introduce a fundamental property that they satisfy, namely the conservation of momentum. This property allows us to generate and store complex deformations with the help of one… 

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