SPARE: Symmetrized Point-to-Plane Distance for Robust Non-Rigid Registration

• URL: http://arxiv.org/abs/2405.20188v1
• Date: Thu, 30 May 2024 15:55:04 GMT
• Title: SPARE: Symmetrized Point-to-Plane Distance for Robust Non-Rigid Registration
• Authors: Yuxin Yao, Bailin Deng, Junhui Hou, Juyong Zhang,
• Abstract summary: We propose SPARE, a novel formulation that utilizes a symmetrized point-to-plane distance for robust non-rigid registration. The proposed method greatly improves the accuracy of non-rigid registration problems and maintains relatively high solution efficiency.
• Score: 76.40993825836222
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 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.

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