Kernel bundle EPDiff: Evolution equations for multi-scale diffeomorphic image registration

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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.

OriginalsprogEngelsk
TitelScale 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
RedaktørerAlfred Bruckstein, Bart M. ter Haar Romeny, Alexander M. Bronstein, Michael M. Bronstein
Antal sider12
ForlagSpringer
Publikationsdato2012
Sider677-688
ISBN (Trykt)978-3-642-24784-2
ISBN (Elektronisk)978-3-642-24785-9
DOI
StatusUdgivet - 2012
Begivenhed3rd International Conference on Scale Space and Variational Methods in Computer Vision - Ein-Gedi, Israel
Varighed: 29 maj 20112 jun. 2011
Konferencens nummer: 3

Konference

Konference3rd International Conference on Scale Space and Variational Methods in Computer Vision
Nummer3
Land/OmrådeIsrael
ByEin-Gedi
Periode29/05/201102/06/2011
NavnLecture notes in computer science
Vol/bind6667
ISSN0302-9743

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