Statistics on diffeomorphisms via tangent space representations

@article{Vaillant2004StatisticsOD,
  title={Statistics on diffeomorphisms via tangent space representations},
  author={Marc Vaillant and M. I. Miller and Laurent Younes and Alain Trouv{\'e}},
  journal={NeuroImage},
  year={2004},
  volume={23},
  pages={S161-S169}
}
In this paper, we present a linear setting for statistical analysis of shape and an optimization approach based on a recent derivation of a conservation of momentum law for the geodesics of diffeomorphic flow. Once a template is fixed, the space of initial momentum becomes an appropriate space for studying shape via geodesic flow since the flow at any point along the geodesic is completely determined by the momentum at the origin through geodesic shooting equations. The space of initial… 

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