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Reduced Representation of Deformation Fields for Effective Non-rigid Shape Matching
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Represent deformation with sparse nodal parameters and mesh-free approximation instead of a point-wise MLP | Non-rigid shape correspondence · SCAPE (PC+N), SHREC19 | correspondence error: 13.7 -> 6.6; 7.4 -> 4.8 | Helped |
| Replace mesh-free approximation with RBF interpolation (ablation) | Reduced deformation representation · SCAPE (PC+N), SHREC19 | correspondence error: 6.6 -> 9.3; 4.8 -> 8.1 | Hurt |
| Add training volume and ARAP regularization (ablation) | Ours · SHREC’19, SCAPE | correspondence error: 7.7 -> 5.2; 9.8 -> 7.0 | Helped |
| Use training ARAP regularization alone (ablation) | Ours · SHREC’19, SCAPE | correspondence error: 7.7 -> 6.9; 9.8 -> 10.2 | Mixed |
| Use training volume regularization alone (ablation) | Ours · SHREC’19, SCAPE | correspondence error: 7.7 -> 7.3; 9.8 -> 8.7 | Helped |
| Add test-time Chamfer-based regularization (ablation) | Ours with training regularization · SHREC’19, SCAPE | correspondence error: 7.9 -> 5.0; 12.5 -> 6.7 | Helped |
| Remove training regularization (ablation) | Ours · SHREC’19, SCAPE | correspondence error: 4.8 -> 7.7; 6.6 -> 9.8 | Hurt |
| Increase node count from 300 to 900 or 2700 at the listed radii (ablation) | Ours · SHREC’19, SCAPE-PC | correspondence error: 4.8 -> 5.4/6.4/6.5; 6.6 -> 7.0/8.7/9.8/9.6 | Hurt |
| Increase node radius from 0.2 to 0.5 with 300 nodes (ablation) | Ours · SHREC’19, SCAPE-PC | correspondence error: 4.8 -> 5.4; 6.6 -> 7.6 | Hurt |
| Use template segmentation or geodesic filtering instead of uniform node sampling (ablation) | Ours · SHREC’19, SCAPE | correspondence error: A-pose SHREC’19: 5.9 -> 5.1; A-pose SCAPE: 9.5 -> 7.3; T-pose changes are marginal | Mixed |
| Use learned latent-space constraints with the reduced representation (ablation) | Ours · SCAPE (PC+N), SHREC19 | correspondence error: 9.8 -> 6.6; 7.7 -> 4.8 | Helped |
| Add first-order and latent constraints to PW-MLP (ablation) | PW-MLP · SCAPE (PC+N), SHREC19 | training iteration time (ms): 32.0 -> 4098.3 | Hurt |
Closest papers by meaning
- Neural Shape Deformation Priors (NeurIPS 2022 · similarity 0.90)
- Deformed Implicit Field: Modeling 3D Shapes With Learned Dense Correspondence (CVPR 2021 · similarity 0.90)
- 4Deform: Neural Surface Deformation for Robust Shape Interpolation (CVPR 2025 · similarity 0.89)
- Implicit Neural Surface Deformation with Explicit Velocity Fields (ICLR 2025 · similarity 0.88)
- Implicit-ARAP: Efficient Handle-Guided Neural Field Deformation via Local Patch Meshing (NeurIPS 2025 · similarity 0.87)
- Neural Pose Representation Learning for Generating and Transferring Non-Rigid Object Poses (NeurIPS 2024 · similarity 0.87)
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