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

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Standard

Kernel bundle EPDiff : evolution equations for multi-scale diffeomorphic image registration. / Sommer, Stefan Horst; Lauze, Francois Bernard; Nielsen, Mads; Pennec, Xavier.

Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers. red. / Alfred Bruckstein; Bart M. ter Haar Romeny; Alexander M. Bronstein; Michael M. Bronstein. Springer, 2012. s. 677-688 (Lecture notes in computer science, Bind 6667).

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Harvard

Sommer, SH, Lauze, FB, Nielsen, M & Pennec, X 2012, Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration. i A Bruckstein, BM ter Haar Romeny, AM Bronstein & MM Bronstein (red), 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, bind 6667, s. 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

APA

Sommer, S. H., Lauze, F. B., Nielsen, M., & Pennec, X. (2012). Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration. I A. Bruckstein, B. M. ter Haar Romeny, A. M. Bronstein, & M. M. Bronstein (red.), Scale Space and Variational Methods in Computer Vision : Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers (s. 677-688). Springer. Lecture notes in computer science, Bind. 6667 https://doi.org/10.1007/978-3-642-24785-9_57

Vancouver

Sommer SH, Lauze FB, Nielsen M, Pennec X. Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration. I Bruckstein A, ter Haar Romeny BM, Bronstein AM, Bronstein MM, red., 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. s. 677-688. (Lecture notes in computer science, Bind 6667). https://doi.org/10.1007/978-3-642-24785-9_57

Author

Sommer, Stefan Horst ; Lauze, Francois Bernard ; Nielsen, Mads ; Pennec, Xavier. / 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. red. / Alfred Bruckstein ; Bart M. ter Haar Romeny ; Alexander M. Bronstein ; Michael M. Bronstein. Springer, 2012. s. 677-688 (Lecture notes in computer science, Bind 6667).

Bibtex

@inproceedings{438aa80e196d4fe6a47c5cdd5c265f38,
title = "Kernel bundle EPDiff: evolution equations for multi-scale diffeomorphic image registration",
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.",
author = "Sommer, {Stefan Horst} and Lauze, {Francois Bernard} and Mads Nielsen and Xavier Pennec",
year = "2012",
doi = "10.1007/978-3-642-24785-9_57",
language = "English",
isbn = "978-3-642-24784-2",
series = "Lecture notes in computer science",
publisher = "Springer",
pages = "677--688",
editor = "{ Bruckstein}, Alfred and { ter Haar Romeny}, {Bart M.} and Bronstein, {Alexander M.} and Bronstein, {Michael M.}",
booktitle = "Scale Space and Variational Methods in Computer Vision",
note = "null ; Conference date: 29-05-2011 Through 02-06-2011",

}

RIS

TY - GEN

T1 - Kernel bundle EPDiff

AU - Sommer, Stefan Horst

AU - Lauze, Francois Bernard

AU - Nielsen, Mads

AU - Pennec, Xavier

N1 - Conference code: 3

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1007/978-3-642-24785-9_57

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

M3 - Article in proceedings

SN - 978-3-642-24784-2

T3 - Lecture notes in computer science

SP - 677

EP - 688

BT - Scale Space and Variational Methods in Computer Vision

A2 - Bruckstein, Alfred

A2 - ter Haar Romeny, Bart M.

A2 - Bronstein, Alexander M.

A2 - Bronstein, Michael M.

PB - Springer

Y2 - 29 May 2011 through 2 June 2011

ER -

ID: 33052245