Soliton Dynamics in Computational Anatomy
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Soliton Dynamics in Computational Anatomy
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| Id. |
20858888 |
| Titulo |
Soliton Dynamics in Computational Anatomy |
| Autor(es) |
Holm, Darryl D.
Ratnanather, J. Tilak
Trouvé, Alain
Younes, Laurent
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| Localización |
http://arxiv.org/abs/nlin/0411014
NeuroImage Vol 23, S170-178, 2004
doi:10.1016/j.neuroimage.2004.07.017
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
Computational anatomy (CA) has introduced the idea of anatomical structures
being transformed by geodesic deformations on groups of diffeomorphisms. Among
these geometric structures, landmarks and image outlines in CA are shown to be
singular solutions of a partial differential equation that is called the
geodesic EPDiff equation. A recently discovered momentum map for singular
solutions of EPDiff yields their canonical Hamiltonian formulation, which in
turn provides a complete parameterization of the landmarks by their canonical
positions and momenta. The momentum map provides an isomorphism between
landmarks (and outlines) for images and singular soliton solutions of the
EPDiff equation. This isomorphism suggests a new dynamical paradigm for CA, as
well as new data representation.
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| Palabras clave |
Nonlinear Sciences - Exactly Solvable and Integrable Systems
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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| Requerimientos técnicos |
Browser: Any
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| Fecha de contribución |
27-mar-2007 |
| Contacto |
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