Kernel Bundle EPDiff: Evolution Equations for Multi-Scale Diffeomorphic Image Registration

Stefan Sommer 1 François Lauze 1 Mads Nielsen 1 Xavier Pennec 2
1 DIKU - Department of computer Science [Copenhagen]
2 ASCLEPIOS - Analysis and Simulation of Biomedical Images
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In the LDDMM framework, optimal warps for image registration are found as end-points of critical paths for an energy functional, and the EPDiff equations describe the evolution along such paths. The Large Deformation Diffeomorphic Kernel Bundle Mapping (LDDKBM) extension of LDDMM allows scale space information to be automatically incorporated in registrations and promises to improve the standard framework in several aspects. We present the mathematical foundations of LDDKBM and derive the KB-EPDiff evolution equations, which provide optimal warps in this new framework. To illustrate the resulting diffeomorphism paths, we give examples showing the decoupled evolution across scales and how the method automatically incorporates deformation at appropriate scales.
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Communication dans un congrès
Bruckstein, A.M. and ter Haar Romeny, B. and Bronstein, A.M. and Bronstein, M.M. Scale Space and Variational Methods in Computer Vision, May 2011, Ein-Gedi, Israel. Springer, 6667, pp.677-688, 2011, Lecture Notes in Computer Science. 〈10.1007/978-3-642-24785-9_57〉
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Contributeur : Xavier Pennec <>
Soumis le : vendredi 25 novembre 2011 - 16:01:04
Dernière modification le : jeudi 11 janvier 2018 - 16:25:08
Document(s) archivé(s) le : dimanche 26 février 2012 - 02:32:36

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Stefan Sommer, François Lauze, Mads Nielsen, Xavier Pennec. Kernel Bundle EPDiff: Evolution Equations for Multi-Scale Diffeomorphic Image Registration. Bruckstein, A.M. and ter Haar Romeny, B. and Bronstein, A.M. and Bronstein, M.M. Scale Space and Variational Methods in Computer Vision, May 2011, Ein-Gedi, Israel. Springer, 6667, pp.677-688, 2011, Lecture Notes in Computer Science. 〈10.1007/978-3-642-24785-9_57〉. 〈hal-00644965〉

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