Ebner, M;
Modat, M;
Ferraris, S;
Ourselin, S;
Vercauteren, T;
(2018)
Forward-Backward Splitting in Deformable Image Registration: A Demons Approach.
In:
Proceedings of the 2018 IEEE International Symposium on Biomedical Imaging (ISBI '18).
IEEE: Washington, D.C., USA.
(In press).
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Abstract
Efficient non-linear image registration implementations are key for many biomedical imaging applications. By using the classical demons approach, the associated optimization problem is solved by an alternate optimization scheme consisting of a gradient descent step followed by Gaussian smoothing. Despite being simple and powerful, the solution of the underlying relaxed formulation is not guaranteed to minimize the original global energy. Implicitly, however, this second step can be recast as the proximal map of the regularizer. This interpretation introduces a parallel to the more general Forward-Backward Splitting (FBS) scheme consisting of a forward gradient descent and proximal step. By shifting entirely to FBS, we can take advantage of the recent advances in FBS methods and solve the original, non-relaxed deformable registration problem for any type of differentiable similarity measure and convex regularization associated with a tractable proximal operator. Additionally, global convergence to a critical point is guaranteed under weak restrictions. For the first time in the context of image registration, we show that Tikhonov regularization breaks down to the simple use of B-Spline filtering in the proximal step. We demonstrate the versatility of FBS by encoding spatial transformation as displacement fields or free-form B-Spline deformations. We use state-of-the-art FBS solvers and compare their performance against the classical demons, the recently proposed inertial demons and the conjugate gradient optimizer. Numerical experiments performed on both synthetic and clinical data show the advantage of FBS in image registration in terms of both convergence and accuracy.
| Type: | Proceedings paper |
|---|---|
| Title: | Forward-Backward Splitting in Deformable Image Registration: A Demons Approach |
| Event: | 2018 IEEE International Symposium on Biomedical Imaging (ISBI '18) |
| Location: | Washington, D.C. |
| Dates: | 04 April 2018 - 07 April 2018 |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | http://biomedicalimaging.org/2018/ |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10040543 |
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