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CDS/CIMMS Lunchtime Series: Soliton Dynamics in Computational Anatomy Dr. Darryl D. Holm, Mathematics, Imperial College London,
12:00 PM to 1:30 PM 114 Steele (CDS Library) Computational Anatomy (CA) introduces the idea that shapes may be transformed into each other by geodesic deformations on groups of diffeomorphisms. In particular, the template matching approach involves Riemannian metrics on the tangent space of the diffeomorphism group and employs their projections onto specific landmark shapes, or image spaces. A singular momentum map provides an isomorphism between landmarks (and outlines) for images and singular soliton solutions of the geodesic equation. This isomorphism suggests a new dynamical paradigm for CA, as well as a new data representation. |
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