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

Stefan Horst Sommer; Francois Bernard Lauze; Mads Nielsen; Xavier Pennec

doi:10.1007/978-3-642-24785-9_57

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

Stefan Horst Sommer, Francois Bernard Lauze, Mads Nielsen, Xavier Pennec

Department of Computer Science

1 Citation (Scopus)

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 deforma-
tion at appropriate scales.

Original language	English
Title of host publication	Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers
Editors	Alfred Bruckstein, Bart M. ter Haar Romeny, Alexander M. Bronstein, Michael M. Bronstein
Number of pages	12
Publisher	Springer
Publication date	2012
Pages	677-688
ISBN (Print)	978-3-642-24784-2
ISBN (Electronic)	978-3-642-24785-9
DOIs	https://doi.org/10.1007/978-3-642-24785-9_57
Publication status	Published - 2012
Event	3rd International Conference on Scale Space and Variational Methods in Computer Vision - Ein-Gedi, Israel Duration: 29 May 2011 → 2 Jun 2011 Conference number: 3

Conference

Conference	3rd International Conference on Scale Space and Variational Methods in Computer Vision
Number	3
Country/Territory	Israel
City	Ein-Gedi
Period	29/05/2011 → 02/06/2011

Series	Lecture notes in computer science
Volume	6667
ISSN	0302-9743

Access to Document

10.1007/978-3-642-24785-9_57

Cite this

Sommer, S. H., Lauze, F. B., Nielsen, M., & Pennec, X. (2012). Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration. In A. Bruckstein, B. M. ter Haar Romeny, A. M. Bronstein, & M. M. Bronstein (Eds.), Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers (pp. 677-688). Springer. https://doi.org/10.1007/978-3-642-24785-9_57

Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration. / Sommer, Stefan Horst ; Lauze, Francois Bernard ; Nielsen, Mads et al.
Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers. ed. / Alfred Bruckstein; Bart M. ter Haar Romeny; Alexander M. Bronstein; Michael M. Bronstein. Springer, 2012. p. 677-688 (Lecture notes in computer science, Vol. 6667).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Sommer, SH , Lauze, FB , Nielsen, M & Pennec, X 2012, Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration. in A Bruckstein, BM ter Haar Romeny, AM Bronstein & MM Bronstein (eds), Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers. Springer, Lecture notes in computer science, vol. 6667, pp. 677-688, 3rd International Conference on Scale Space and Variational Methods in Computer Vision, Ein-Gedi, Israel, 29/05/2011. https://doi.org/10.1007/978-3-642-24785-9_57

Sommer SH , Lauze FB , Nielsen M, Pennec X. Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration. In Bruckstein A, ter Haar Romeny BM, Bronstein AM, Bronstein MM, editors, Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers. Springer. 2012. p. 677-688. (Lecture notes in computer science, Vol. 6667). doi: 10.1007/978-3-642-24785-9_57

Sommer, Stefan Horst ; Lauze, Francois Bernard ; Nielsen, Mads et al. / Kernel bundle EPDiff : evolution equations for multi-scale diffeomorphic image registration. Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers. editor / Alfred Bruckstein ; Bart M. ter Haar Romeny ; Alexander M. Bronstein ; Michael M. Bronstein. Springer, 2012. pp. 677-688 (Lecture notes in computer science, Vol. 6667).

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