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Learning Signed Distance Functions from Noisy 3D Point Clouds via Noise to Noise Mapping

ICML 2023 · Point clouds › Shape and surface completion · approach: Distance-function surface reconstruction · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add geometric consistency regularization (lambda=0.1) to EMD noise-to-noise loss (ablation)surface reconstruction · PU test setL2CD x10^4 (reconstruction): 80.917 -> 4.277Helped
replace EMD distance with Chamfer distance in the noise-to-noise loss (ablation)point cloud denoising · PU test setL2CD x10^4: 4.221 -> 73.786Hurt
increase geometric consistency weight lambda from 0.1 to 0.2 (ablation)denoising and reconstruction · PU test setL2CD x10^4: denoise 4.252 -> 4.832Hurt
add geometric consistency (lambda 0.05 to 0.1) to EMD denoising (ablation)point cloud denoising · PU test setL2CD x10^4: 4.221 (λ=0) vs 4.245 (λ=0.05) vs 4.252 (λ=0.1)No clear effect
increase number of noisy observations N from 1 to 200 (ablation)point cloud denoising · PU test setL2CD x10^4: 4.976 -> 4.221Helped
increase batch size from 250 to 10000 queries (ablation)point cloud denoising · PU test setL2CD x10^4: 4.221 -> 6.217 (B=10000); 12.398 at B=100Hurt
increase training iterations from 40 to 80 x10^4 (ablation)point cloud denoising · PU test setL2CD x10^4: 4.887 -> 4.221Helped
train on single noisy point cloud (N=1) instead of multiple observations (ablation)point cloud denoising · PU test setL2CD x10^4: 4.221 -> 4.976Hurt
combine multiple noisy observations by concatenation instead of separate training (ablation)point cloud denoising and reconstruction · PU test setL2CD x10^4: denoise 4.221 vs 4.244; reconstruction 4.355 vs 4.315Mixed
EMD noise-to-noise mapping with geometric consistency vs SBP baselinepoint cloud denoising · PU and PC benchmarks, 1-3% noiseL2CD x10^4: e.g. PU 10K 1%: 2.521 -> 1.060Helped
noise-to-noise SDF learning vs POCO and IMLS on ShapeNetsurface reconstruction · ShapeNet 13 classesL1CD x10 / NC / F-Score: L1CD 0.030 -> 0.026; NC 0.950 -> 0.962; F-Score 0.984 -> 0.991 (vs POCO)Helped
single noisy point cloud training (N=1) vs NP/IMLS/PCP on ABC/FAMOUSsurface reconstruction · ABC varL2CD x100: 0.57 (IMLS) -> 0.113Helped

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