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.
Originalsprog | Engelsk |
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Titel | Scale Space and Variational Methods in Computer Vision - Third International Conference, SSVM 2011, Revised Selected Papers : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers |
Redaktører | Alfred Bruckstein, Bart M. ter Haar Romeny, Alexander M. Bronstein, Michael M. Bronstein |
Antal sider | 12 |
Forlag | Springer |
Publikationsdato | 2012 |
Sider | 677-688 |
ISBN (Trykt) | 978-3-642-24784-2 |
ISBN (Elektronisk) | 978-3-642-24785-9 |
DOI | |
Status | Udgivet - 2012 |
Begivenhed | 3rd International Conference on Scale Space and Variational Methods in Computer Vision - Ein-Gedi, Israel Varighed: 29 maj 2011 → 2 jun. 2011 Konferencens nummer: 3 |
Konference
Konference | 3rd International Conference on Scale Space and Variational Methods in Computer Vision |
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Nummer | 3 |
Land/Område | Israel |
By | Ein-Gedi |
Periode | 29/05/2011 → 02/06/2011 |
Navn | Lecture notes in computer science |
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Vol/bind | 6667 |
ISSN | 0302-9743 |