| Soliton dynamics in computational anatomy. | |
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MedLine Citation:
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PMID: 15501086 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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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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Authors:
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Darryl D Holm; J Tilak Ratnanather; Alain Trouvé; Laurent Younes |
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Publication Detail:
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Type: Journal Article; Research Support, U.S. Gov't, Non-P.H.S.; Research Support, U.S. Gov't, P.H.S.; Review |
Journal Detail:
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Title: NeuroImage Volume: 23 Suppl 1 ISSN: 1053-8119 ISO Abbreviation: Neuroimage Publication Date: 2004 |
Date Detail:
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Created Date: 2004-10-25 Completed Date: 2005-01-19 Revised Date: 2007-11-14 |
Medline Journal Info:
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Nlm Unique ID: 9215515 Medline TA: Neuroimage Country: United States |
Other Details:
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Languages: eng Pagination: S170-8 Citation Subset: IM |
Affiliation:
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Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA. dholm@lanl.gov |
Export Citation:
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APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
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Algorithms Anatomy / statistics & numerical data* Computational Biology / statistics & numerical data* Hippocampus / anatomy & histology, physiology Humans Image Processing, Computer-Assisted Principal Component Analysis |
| Grant Support | |
ID/Acronym/Agency:
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MH 62130/MH/NIMH NIH HHS; MH064838/MH/NIMH NIH HHS; MH60883/MH/NIMH NIH HHS; MH62130-01A1/MH/NIMH NIH HHS; MH62626/MH/NIMH NIH HHS; P01-AG03991-16/AG/NIA NIH HHS; P41-RR15241-01A1/RR/NCRR NIH HHS |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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