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Learning Local Neighboring Structure for Robust 3D Shape Representation

AAAI 2021 · 3D vision › Face and shape · approach: Primitive-based shape abstraction · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace COMA's convolution with LSA-ConvLSA-3DMM · DFAUST testL2 reconstruction error (mm): 5.238 -> 3.492Helped
Replace Spiral's convolution with LSA-ConvLSA-3DMM · COMA testL2 reconstruction error (mm): 0.227 -> 0.117Helped
Use an LSA-Conv decoder instead of the prior decoder3D shape correspondence system · FAUST-interAverage Euclidean distance (cm): 2.878cm -> 2.501cmHelped
Factorize weighting matrices using a subspace with B=8 (ablation)LSA-3DMM · DFAUST testL2 reconstruction error (mm): 5.110 -> 4.544; 4.667 -> 4.544Helped
Factorize weighting matrices using a subspace with B=8 (ablation)LSA-3DMM · COMA testL2 reconstruction error (mm): 0.198 -> 0.179; 0.193 -> 0.179Helped
Randomly reshuffle each node's neighbor order (ablation)LSA-3DMM · DFAUST testL2 reconstruction error (mm): 3.492 -> 3.527No clear effect
Randomly reshuffle each node's neighbor order (ablation)LSA-3DMM · COMA testL2 reconstruction error (mm): 0.117 -> 0.117No clear effect
Initialize weighting matrices randomly instead of with identity matrices (ablation)LSA-3DMM · DFAUST testL2 reconstruction error (mm): 3.492 -> 4.488Hurt
Initialize weighting matrices randomly instead of with identity matrices (ablation)LSA-3DMM · COMA testL2 reconstruction error (mm): 0.117 -> 0.137Hurt
Add learnable weighting matrices for each node's neighbors (ablation)LSA-3DMM · DFAUST testL2 reconstruction error (mm): 5.511 -> 3.492Helped
Add learnable weighting matrices for each node's neighbors (ablation)LSA-3DMM · COMA testL2 reconstruction error (mm): 0.212 -> 0.117Helped
Reduce neighbor size to K=5 (ablation)LSA-3DMM · DFAUST testL2 reconstruction error (mm): 3.492 -> 3.869Hurt

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