Metamorphoses Through Lie Group Action

@article{Trouv2005MetamorphosesTL,
  title={Metamorphoses Through Lie Group Action},
  author={Alain Trouv{\'e} and Laurent Younes},
  journal={Foundations of Computational Mathematics},
  year={2005},
  volume={5},
  pages={173-198}
}
We formally analyze a computational problem which has important applications in image understanding and shape analysis. The problem can be summarized as follows. Starting from a group action on a Riemannian manifold M , we introduce a modification of the metric by partly expressing displacements on M as an effect of the action of some group element. The study of this new structure relates to evolutions on M under the combined effect of the action and of residual displacements, called… CONTINUE READING
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