Yao, Yuxin, Deng, Bailin  ORCID: https://orcid.org/0000-0002-0158-7670, Hou, Junhui and Zhang, Juyong
2025.
SPARE: Symmetrized point-to-plane distance for robust non-rigid 3D registration.
IEEE Transactions on Pattern Analysis and Machine Intelligence
10.1109/tpami.2025.3598630
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Abstract
Existing optimization-based methods for non-rigid registration typically minimize an alignment error metric based on the point-to-point or point-to-plane distance between corresponding point pairs on the source surface and target surface. However, these metrics can result in slow convergence or a loss of detail. In this paper, we propose SPARE, a novel formulation that utilizes a symmetrized point-to-plane distance for robust non-rigid registration. The symmetrized point-to-plane distance relies on both the positions and normals of the corresponding points, resulting in a more accurate approximation of the underlying geometry and can achieve higher accuracy than existing methods. To solve this optimization problem efficiently, we introduce an as-rigid-as-possible regulation term to estimate the deformed normals and propose an alternating minimization solver using a majorization-minimization strategy. Moreover, for effective initialization of the solver, we incorporate a deformation graph-based coarse alignment that improves registration quality and efficiency. Extensive experiments show that the proposed method greatly improves the accuracy of non-rigid registration problems and maintains relatively high solution efficiency. The code is publicly available at https://github.com/yaoyx689/spare.
| Item Type: | Article |
|---|---|
| Date Type: | Published Online |
| Status: | In Press |
| Schools: | Schools > Computer Science & Informatics |
| Additional Information: | License information from Publisher: LICENSE 1: URL: https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html, Start Date: 2025-01-01 |
| Publisher: | Institute of Electrical and Electronics Engineers |
| ISSN: | 0162-8828 |
| Last Modified: | 28 Aug 2025 11:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/180717 |
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