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Reduced Representation of Deformation Fields for Effective Non-rigid Shape Matching

NeurIPS 2022 · 3D vision › Face and shape · approach: Articulated and non-rigid shape learning · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Represent deformation with sparse nodal parameters and mesh-free approximation instead of a point-wise MLPNon-rigid shape correspondence · SCAPE (PC+N), SHREC19correspondence error: 13.7 -> 6.6; 7.4 -> 4.8Helped
Replace mesh-free approximation with RBF interpolation (ablation)Reduced deformation representation · SCAPE (PC+N), SHREC19correspondence error: 6.6 -> 9.3; 4.8 -> 8.1Hurt
Add training volume and ARAP regularization (ablation)Ours · SHREC’19, SCAPEcorrespondence error: 7.7 -> 5.2; 9.8 -> 7.0Helped
Use training ARAP regularization alone (ablation)Ours · SHREC’19, SCAPEcorrespondence error: 7.7 -> 6.9; 9.8 -> 10.2Mixed
Use training volume regularization alone (ablation)Ours · SHREC’19, SCAPEcorrespondence error: 7.7 -> 7.3; 9.8 -> 8.7Helped
Add test-time Chamfer-based regularization (ablation)Ours with training regularization · SHREC’19, SCAPEcorrespondence error: 7.9 -> 5.0; 12.5 -> 6.7Helped
Remove training regularization (ablation)Ours · SHREC’19, SCAPEcorrespondence error: 4.8 -> 7.7; 6.6 -> 9.8Hurt
Increase node count from 300 to 900 or 2700 at the listed radii (ablation)Ours · SHREC’19, SCAPE-PCcorrespondence error: 4.8 -> 5.4/6.4/6.5; 6.6 -> 7.0/8.7/9.8/9.6Hurt
Increase node radius from 0.2 to 0.5 with 300 nodes (ablation)Ours · SHREC’19, SCAPE-PCcorrespondence error: 4.8 -> 5.4; 6.6 -> 7.6Hurt
Use template segmentation or geodesic filtering instead of uniform node sampling (ablation)Ours · SHREC’19, SCAPEcorrespondence error: A-pose SHREC’19: 5.9 -> 5.1; A-pose SCAPE: 9.5 -> 7.3; T-pose changes are marginalMixed
Use learned latent-space constraints with the reduced representation (ablation)Ours · SCAPE (PC+N), SHREC19correspondence error: 9.8 -> 6.6; 7.7 -> 4.8Helped
Add first-order and latent constraints to PW-MLP (ablation)PW-MLP · SCAPE (PC+N), SHREC19training iteration time (ms): 32.0 -> 4098.3Hurt

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