Fidon, L;
Ebner, M;
Garcia-Peraza-Herrera, LC;
Modat, M;
Ourselin, S;
Vercauteren, T;
(2019)
Incompressible Image Registration Using Divergence-Conforming B-Splines.
Medical Image Computing and Computer Assisted Intervention - MICCAI 2019
, 11765
pp. 438-446.
10.1007/978-3-030-32245-8_49.
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Abstract
Anatomically plausible image registration often requires volumetric preservation. Previous approaches to incompressible image registration have exploited relaxed constraints, ad hoc optimisation methods or practically intractable computational schemes. Divergence-free velocity fields have been used to achieve incompressibility in the continuous domain, although, after discretisation, no guarantees have been provided. In this paper, we introduce stationary velocity fields (SVFs) parameterised by divergence-conforming B-splines in the context of image registration. We demonstrate that sparse linear constraints on the parameters of such divergence-conforming B-Splines SVFs lead to being exactly divergence-free at any point of the continuous spatial domain. In contrast to previous approaches, our framework can easily take advantage of modern solvers for constrained optimisation, symmetric registration approaches, arbitrary image similarity and additional regularisation terms. We study the numerical incompressibility error for the transformation in the case of an Euler integration, which gives theoretical insights on the improved accuracy error over previous methods. We evaluate the proposed framework using synthetically deformed multimodal brain images, and the STACOM’11 myocardial tracking challenge. Accuracy measurements demonstrate that our method compares favourably with state-of-the-art methods whilst achieving volume preservation.
| Type: | Article |
|---|---|
| Title: | Incompressible Image Registration Using Divergence-Conforming B-Splines |
| Location: | Shenzhen, PEOPLES R CHINA |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-030-32245-8_49 |
| Publisher version: | https://doi.org/10.1007/978-3-030-32245-8_49 |
| 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: | Science & Technology, Technology, Life Sciences & Biomedicine, Computer Science, Artificial Intelligence, Computer Science, Software Engineering, Engineering, Biomedical, Neuroimaging, Imaging Science & Photographic Technology, Radiology, Nuclear Medicine & Medical Imaging, Computer Science, Engineering, Neurosciences & Neurology, FREE-FORM DEFORMATION |
| 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/10122152 |
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