Abstract - IPAM

Abstract

Computational Functional Anatomy

Michael Miller

Johns Hopkins University

Computational Anatomy is the study of the shape and structure of manifolds in human anatomy. This talk reviews results from CA along these lines, including
(i) embedding of shapes into a metric structure via flows of diffeomorphisms
(ii) conservation laws for geodesics describing metric connection of shapes
(iii) statistics on families of shapes encoded via these metrics. The emerging focus in Computational Functional Anatomy is the inclusion of the study of function in the curved coordinates of anatomical manifolds. Methods for performing inference in this setting are examined coupled to morphometric studies.
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