Geodesic Shooting and Diffeomorphic Matching Via Textured Meshes

@inproceedings{Allassonnire2005GeodesicSA,
  title={Geodesic Shooting and Diffeomorphic Matching Via Textured Meshes},
  author={St{\'e}phanie Allassonni{\`e}re and Alain Trouv{\'e} and Laurent Younes},
  booktitle={EMMCVPR},
  year={2005}
}
We propose a new approach in the context of diffeomorphic image matching with free boundaries. A region of interest is triangulated over a template, which is considered as a grey level textured mesh. A diffeomorphic transformation is then approximated by the piecewise affine deformation driven by the displacements of the vertices of the triangles. This provides a finite dimensional, landmark-type, reduction for this dense image comparison problem. Based on an optimal control model, we analyze… 

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