Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation
Medical images are increasingly used within healthcare for diagnosis, planning treatment, and monitoring disease progression. The images acquired at different times, with different imaging modalities, from different subjects etc. often provide an additional clinical information that is not revealed...
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| Format: | Article |
| Language: | English |
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VSB-Technical University of Ostrava
2017-01-01
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| Series: | Advances in Electrical and Electronic Engineering |
| Subjects: | |
| Online Access: | http://advances.utc.sk/index.php/AEEE/article/view/2281 |
| _version_ | 1797827001174720512 |
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| author | Ales Ronovsky Alena Vasatova |
| author_facet | Ales Ronovsky Alena Vasatova |
| author_sort | Ales Ronovsky |
| collection | DOAJ |
| description | Medical images are increasingly used within healthcare for diagnosis, planning treatment, and monitoring disease progression. The images acquired at different times, with different imaging modalities, from different subjects etc. often provide an additional clinical information that is not revealed in the separate images. The spatial relation between the images has to be found and this process is called image registration. In our contribution, we use elastic registration which assumes that the images are two different observations of an elastic body which is discretized by the finite element method. We are especially interested in the problems where the requirements on the registration prevent the application of standard FFT based solvers to the solution of auxiliary linear problems, which is the case when the part of the two observations can be related by a rigid body motion. Because the medical images usually contain a large area of background and a small area of changes, a regular discretization results in waste of computational resources due to the fine refinement of the space outside the region of interest (especially in 3D). To avoid this, we use coarser grid with local refinement that takes into account specific features of the images and their differences. The related elasticity problems are solved by TFETI, which is a variant of the Finite Element Tearing and Interconnecting (FETI) domain decomposition method for massively parallel numerical solution of elliptic Partial Differential Equations (PDE) with optimal complexity. |
| first_indexed | 2024-04-09T12:41:15Z |
| format | Article |
| id | doaj.art-d209b556c9444c58a75dbf6d895a9cfc |
| institution | Directory Open Access Journal |
| issn | 1336-1376 1804-3119 |
| language | English |
| last_indexed | 2024-04-09T12:41:15Z |
| publishDate | 2017-01-01 |
| publisher | VSB-Technical University of Ostrava |
| record_format | Article |
| series | Advances in Electrical and Electronic Engineering |
| spelling | doaj.art-d209b556c9444c58a75dbf6d895a9cfc2023-05-14T20:50:11ZengVSB-Technical University of OstravaAdvances in Electrical and Electronic Engineering1336-13761804-31192017-01-0115232233010.15598/aeee.v15i2.2281902Elastic Image Registration Based on Domain Decomposition with Mesh AdaptationAles Ronovsky0Alena Vasatova1Department of Applied Mathematics, Faculty of Electrical Engineering and Computer Science, VSB-Technical University of Ostrava, 17. listopadu 15/2172, 708 33 Ostrava, Czech Republic & IT4Innovations National Supercomputing Center, VSB-Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech RepublicDepartment of Applied Mathematics, Faculty of Electrical Engineering and Computer Science, VSB-Technical University of Ostrava, 17. listopadu 15/2172, 708 33 Ostrava, Czech Republic & IT4Innovations National Supercomputing Center, VSB-Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech RepublicMedical images are increasingly used within healthcare for diagnosis, planning treatment, and monitoring disease progression. The images acquired at different times, with different imaging modalities, from different subjects etc. often provide an additional clinical information that is not revealed in the separate images. The spatial relation between the images has to be found and this process is called image registration. In our contribution, we use elastic registration which assumes that the images are two different observations of an elastic body which is discretized by the finite element method. We are especially interested in the problems where the requirements on the registration prevent the application of standard FFT based solvers to the solution of auxiliary linear problems, which is the case when the part of the two observations can be related by a rigid body motion. Because the medical images usually contain a large area of background and a small area of changes, a regular discretization results in waste of computational resources due to the fine refinement of the space outside the region of interest (especially in 3D). To avoid this, we use coarser grid with local refinement that takes into account specific features of the images and their differences. The related elasticity problems are solved by TFETI, which is a variant of the Finite Element Tearing and Interconnecting (FETI) domain decomposition method for massively parallel numerical solution of elliptic Partial Differential Equations (PDE) with optimal complexity.http://advances.utc.sk/index.php/AEEE/article/view/2281domain decompositionelastic image registrationmesh adaptation. |
| spellingShingle | Ales Ronovsky Alena Vasatova Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation Advances in Electrical and Electronic Engineering domain decomposition elastic image registration mesh adaptation. |
| title | Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation |
| title_full | Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation |
| title_fullStr | Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation |
| title_full_unstemmed | Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation |
| title_short | Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation |
| title_sort | elastic image registration based on domain decomposition with mesh adaptation |
| topic | domain decomposition elastic image registration mesh adaptation. |
| url | http://advances.utc.sk/index.php/AEEE/article/view/2281 |
| work_keys_str_mv | AT alesronovsky elasticimageregistrationbasedondomaindecompositionwithmeshadaptation AT alenavasatova elasticimageregistrationbasedondomaindecompositionwithmeshadaptation |