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Rethinking the Approximation Error in 3D Surface Fitting for Point Cloud Normal Estimation

CVPR 2023 · Point clouds › Shape and surface completion · approach: Point cloud upsampling and normals · 26 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add Z-direction transformation and normal error estimationDeepFit, AdaFit, and GraphFit · PCPNet test set, averagenormal angle RMSE: 11.80 -> 10.75; 10.76 -> 10.40; 10.26 -> 10.01Helped
Add Z-direction transformation and normal error estimationDeepFit, AdaFit, and GraphFit · SceneNNnormal angle RMSE: 17.13 -> 14.57; 15.49 -> 14.45; 14.79 -> 14.51Helped
Add both proposed components (ablation)DeepFit, AdaFit, and GraphFit · PCPNet no noisenormal angle RMSE: 6.51 -> 4.90; 5.19 -> 4.71; 4.45 -> 4.11Helped
Add Z-direction transformation only (ablation)DeepFit, AdaFit, and GraphFit · PCPNet no noisenormal angle RMSE: 6.51 -> 6.27; 5.19 -> 4.93; 4.45 -> 4.27Helped
Add normal error estimation only (ablation)DeepFit, AdaFit, and GraphFit · PCPNet no noisenormal angle RMSE: 6.51 -> 5.01; 5.19 -> 4.72; 4.45 -> 4.36Helped
Add both proposed componentsDeepFit, AdaFit, and GraphFit · PCPNet test set, averagePGP5 and PGP10: 80.03 -> 89.83; 90.72 -> 95.59; 88.24 -> 90.40; 94.36 -> 95.82; 89.73 -> 91.28; 95.66 -> 96.59Helped
Use Jet order 1, 2, or 3 with the proposed additions (ablation)AdaFit · PCPNet, average across noise and density settingsnormal angle RMSE: 10.99 -> 10.84; 10.93 -> 10.82; 11.02 -> 10.83Helped
Use Z-direction transformation loss weight 2.0 rather than 0 (ablation)DeepFit + Ours · PCPNet test set, averagenormal angle RMSE: 10.92 -> 10.75Helped
Apply Z-direction transformation loss directly to the original quaternion spatial transformation network (ablation)DeepFit · PCPNet test set, averagenormal angle RMSE: 11.80 -> 11.74No clear effect
Iteratively feed estimated normals back into surface fitting (ablation)DeepFit · PCPNet test set, averagenormal angle RMSE: 11.80 -> 11.72Helped
Iteratively feed estimated normals back into surface fitting (ablation)DeepFit + Ours · PCPNet test set, averagenormal angle RMSE: 10.75 -> 10.72Helped
Iteratively feed estimated normals back into surface fitting (ablation)DeepFit + Ours · PCPNet test set, averageinference time: 0.56 -> 0.84Hurt

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