DEFORMOTION: Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images

@inproceedings{Soatto2002DEFORMOTIONDM,
  title={DEFORMOTION: Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images},
  author={Stefano Soatto and Anthony J. Yezzi},
  booktitle={ECCV},
  year={2002}
}
What does it mean for a deforming object to be “moving”? How can we separate the overall motion (a finite-dimensional group action) from the more general deformation (a diffeomorphism)? In this paper we propose a definition of motion for a deforming object and introduce a notion of “shape average” as the entity that separates the motion from the deformation. Our definition allows us to derive novel and efficient algorithms to register non-identical shapes using region-based methods, and to… CONTINUE READING
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