Computational anatomy: shape, growth, and atrophy comparison via diffeomorphisms

@article{Miller2004ComputationalAS,
  title={Computational anatomy: shape, growth, and atrophy comparison via diffeomorphisms},
  author={Michael I. Miller},
  journal={NeuroImage},
  year={2004},
  volume={23},
  pages={S19-S33}
}
  • M. Miller
  • Published 31 December 2004
  • Medicine, Mathematics
  • NeuroImage
Computational anatomy (CA) is the mathematical study of anatomy I in I = I(alpha) o G, an orbit under groups of diffeomorphisms (i.e., smooth invertible mappings) g in G of anatomical exemplars I(alpha) in I. The observable images are the output of medical imaging devices. There are three components that CA examines: (i) constructions of the anatomical submanifolds, (ii) comparison of the anatomical manifolds via estimation of the underlying diffeomorphisms g in G defining the shape or geometry… 
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