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Statistical Engineering Division SeminarThe Euler-Lagrange Equations of Diffeomorphic Matching Methods: Applications to Computational Anatomy
Laurent Younes Abstract We will discuss a general mechanism with which a particular form of gradient for matching functionals can be computed within a group of diffeomorphisms. This will be related to the Large Deformation Diffeomorphic Metric Matching (LDDMM) algorithm which uses a geodesic length in groups of diffeomorphisms to control the amount of deformation. We will show how these problems induce a fundamental conservation equation, called EPDiff, which is defined along the geodesic. The conserved quantity, called the momentum, can be used as a way to characterize deformations of a given template. It provides a basic descriptor for statistical shape analysis. NIST Contact: John Lu, (301) 975-3208.
Date created: 3/21/2007 |