Ferraris, S;
Lorenzi, M;
Daga, P;
Modat, M;
Vercauteren, T;
(2016)
Accurate Small Deformation Exponential Approximant to Integrate Large Velocity Fields: Application to Image Registration.
In:
Proceedings of the 2016 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW).
(pp. pp. 457-464).
IEEE: Las Vegas, NV, USA.
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Abstract
One of the basic components of diffeomorphic image registration algorithms based on velocity fields is the numerical method used to integrate velocity parameters and obtain spatial transformations as displacement fields. When the input velocity field does not depend on the time parameter, the solution is often referred to as the Lie exponential of the velocity field. In this work, we present an integration method for its numerical computation based both on a generalization of the scaling and squaring algorithm and on a class of numerical integrators aimed to solve systems of ordinary differential equations called exponential integrators. This new method led to the introduction of three numerical integrators, and the subsequent validation are performed on synthetic deformations and real medical images.
| Type: | Proceedings paper |
|---|---|
| Title: | Accurate Small Deformation Exponential Approximant to Integrate Large Velocity Fields: Application to Image Registration |
| Event: | 2016 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) |
| Location: | Las Vegas, NV |
| Dates: | 26 June 2016 - 01 July 2016 |
| ISBN-13: | 978-1-5090-1437-8 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/CVPRW.2016.64 |
| Publisher version: | https://doi.org/10.1109/CVPRW.2016.64 |
| 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. |
| Keywords: | Image registration, Biomedical imaging, Differential equations, Algorithm design and analysis, Taylor series, Conferences |
| 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/10047353 |
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