On the metrics and euler-lagrange equations of computational anatomy.
@article{Miller2002OnTM, title={On the metrics and euler-lagrange equations of computational anatomy.}, author={Michael I. Miller and Alain Trouv{\'e} and Laurent Younes}, journal={Annual review of biomedical engineering}, year={2002}, volume={4}, pages={ 375-405 } }
This paper reviews literature, current concepts and approaches in computational anatomy (CA). The model of CA is a Grenander deformable template, an orbit generated from a template under groups of diffeomorphisms. The metric space of all anatomical images is constructed from the geodesic connecting one anatomical structure to another in the orbit. The variational problems specifying these metrics are reviewed along with their associated Euler-Lagrange equations. The Euler equations of motion…
477 Citations
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