| Issue |
ESAIM: M2AN
Volume 57, Number 1, January-February 2023
|
|
|---|---|---|
| Page(s) | 299 - 328 | |
| DOI | https://doi.org/10.1051/m2an/2022080 | |
| Published online | 21 February 2023 | |
3D diffeomorphic image registration with Cauchy–Riemann constraint and lower bounded deformation divergence
1
Department of Mathematics, Wuhan University of Technology, Wuhan 430070, P.R. China
2
Center for Mathematical Sciences and Department of Mathematics, Wuhan University of Technology, Wuhan 430070, P.R. China
* Corresponding author: zpwang@whut.edu.cn
Received:
17
June
2021
Accepted:
26
September
2022
In order to eliminate mesh folding in 3D image registration problem, we propose a 3D diffeomorphic image registration model with Cauchy–Riemann constraint and lower bounded deformation divergence. This model preserves the local shape and ensures no mesh folding. The existence of solution for the proposed model is proved. Furthermore, an alternating directional projection 3D image registration algorithm is presented to solve the proposed model. Moreover, numerical tests show that the proposed algorithm is competitive compared with the other four algorithms.
Mathematics Subject Classification: 65F10 / 65M55 / 68U10 / 65M12 / 94A08
Key words: 3D diffeomorphic image registration / mesh folding / Cauchy–Riemann constraint / lower bounded divergence / alternating direction / projection algorithm
© The authors. Published by EDP Sciences, SMAI 2023
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