Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image Registration
Discontinuous displacements pose a substantial challenge to image registration algorithms, which generally assume smooth deformations. Two prominent cases occur in 4DCT lung scans. The first instance exists at the lung-thorax-boundary, where due to high elasticities and expansion properties, lungs e...
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2025-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/11079567/ |
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| author | Thomas Alscher Jens Petersen Francois Lauze Kenny Erleben Sune Darkner |
| author_facet | Thomas Alscher Jens Petersen Francois Lauze Kenny Erleben Sune Darkner |
| author_sort | Thomas Alscher |
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| description | Discontinuous displacements pose a substantial challenge to image registration algorithms, which generally assume smooth deformations. Two prominent cases occur in 4DCT lung scans. The first instance exists at the lung-thorax-boundary, where due to high elasticities and expansion properties, lungs exhibit higher displacements than the surrounding thoracic cavity, leading to sliding motions along their interface. Discontinuous motion is facilitated through a piecewise registration framework, in which inter-domain boundary interactions are constrained via collision detection, and intra-domain deformation smoothness is governed by the Large Deformation Diffeomorphic Metric Mapping (LDDMM) model. The second case with discontinuous displacements is found between lung lobes along the separating lung fissures. A fissure reconstruction algorithm for sparse segmentation is presented, improving geometric lung representation. Utilizing a refined Free-Form Deformation model for lobe-on-lobe registration that permits lobar sliding and prevents self-intersection, this approach examines discontinuities around the pulmonary fissures. Both cases are evaluated on synthetic and medical data, with boundary inconsistency results and average registration metrics on the DIRLAB dataset comparable to other approaches addressing sliding motion. |
| format | Article |
| id | doaj-art-1ff3f10a961c4be1a4f4518fe2a00b6b |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-1ff3f10a961c4be1a4f4518fe2a00b6b2025-08-20T03:41:52ZengIEEEIEEE Access2169-35362025-01-011313923613925510.1109/ACCESS.2025.358876011079567Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image RegistrationThomas Alscher0https://orcid.org/0000-0002-0948-7287Jens Petersen1Francois Lauze2https://orcid.org/0000-0003-2503-6475Kenny Erleben3https://orcid.org/0000-0001-6808-4747Sune Darkner4Department of Computer Science, University of Copenhagen, Copenhagen, DenmarkDepartment of Computer Science, University of Copenhagen, Copenhagen, DenmarkDepartment of Computer Science, University of Copenhagen, Copenhagen, DenmarkDepartment of Computer Science, University of Copenhagen, Copenhagen, DenmarkDepartment of Computer Science, University of Copenhagen, Copenhagen, DenmarkDiscontinuous displacements pose a substantial challenge to image registration algorithms, which generally assume smooth deformations. Two prominent cases occur in 4DCT lung scans. The first instance exists at the lung-thorax-boundary, where due to high elasticities and expansion properties, lungs exhibit higher displacements than the surrounding thoracic cavity, leading to sliding motions along their interface. Discontinuous motion is facilitated through a piecewise registration framework, in which inter-domain boundary interactions are constrained via collision detection, and intra-domain deformation smoothness is governed by the Large Deformation Diffeomorphic Metric Mapping (LDDMM) model. The second case with discontinuous displacements is found between lung lobes along the separating lung fissures. A fissure reconstruction algorithm for sparse segmentation is presented, improving geometric lung representation. Utilizing a refined Free-Form Deformation model for lobe-on-lobe registration that permits lobar sliding and prevents self-intersection, this approach examines discontinuities around the pulmonary fissures. Both cases are evaluated on synthetic and medical data, with boundary inconsistency results and average registration metrics on the DIRLAB dataset comparable to other approaches addressing sliding motion.https://ieeexplore.ieee.org/document/11079567/Deformable image registrationLDDMMdiscontinuitiescollision detection |
| spellingShingle | Thomas Alscher Jens Petersen Francois Lauze Kenny Erleben Sune Darkner Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image Registration IEEE Access Deformable image registration LDDMM discontinuities collision detection |
| title | Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image Registration |
| title_full | Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image Registration |
| title_fullStr | Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image Registration |
| title_full_unstemmed | Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image Registration |
| title_short | Collision Constraints and Diffeomorphisms: Dealing With Physics in Deformable Image Registration |
| title_sort | collision constraints and diffeomorphisms dealing with physics in deformable image registration |
| topic | Deformable image registration LDDMM discontinuities collision detection |
| url | https://ieeexplore.ieee.org/document/11079567/ |
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