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Computational anatomy: Shape, growth, and atrophy comparison via diffeomorphisms (2004)
| Venue: | NeuroImage |
| Citations: | 62 - 2 self |
BibTeX
@ARTICLE{Miller04computationalanatomy:,
author = {Michael I. Miller},
title = {Computational anatomy: Shape, growth, and atrophy comparison via diffeomorphisms},
journal = {NeuroImage},
year = {2004},
volume = {23},
pages = {19--33}
}
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Abstract
Computational anatomy (CA) is the mathematical study of anatomy I a I = I a BG, an orbit under groups of diffeomorphisms (i.e., smooth invertible mappings) g a G of anatomical exemplars Iaa 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 a G defining the shape or geometry of the anatomical manifolds, and (iii) generation of probability laws of anatomical variation P(d) on the images I for inference and disease testing within anatomical models. This paper reviews recent advances in these three areas applied to shape, growth, and atrophy.
Keyphrases
computational anatomy atrophy comparison anatomical manifold mathematical study underlying diffeomorphisms anatomical exemplar iaa anatomical model probability law invertible mapping anatomical submanifolds ca examines recent advance anatomical variation observable image medical imaging device
