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U-CAN: Unsupervised Point Cloud Denoising with Consistency-Aware Noise2Noise Matching

NeurIPS 2025 · Point clouds › Shape and surface completion · approach: Point cloud upsampling and normals · 1 citations (OpenAlex)

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Proposes U-CAN, an unsupervised point cloud denoiser trained with EMD-based noise-to-noise matching and a denoising-consistency loss, also transferred to image denoising via ZS-N2N.

Problem

Point cloud denoising usually requires paired noisy-clean data, which is costly to obtain; existing unsupervised methods lack local-level constraints and yield imprecise local geometry.

Approach

Adapts Noise2Noise to unordered point clouds by using Earth Mover's Distance as a one-to-one correspondence-inducing loss between denoised outputs and other noisy observations, plus a consistency loss between denoised predictions of two noisy observations; the denoiser is a multi-step DGCNN-based path predictor.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add U-CAN denoising to the unsupervised point-cloud denoising methodPUNet 10K point clouds · PUNet 10K, 2% noiseCD ×10^4: 3.686 -> 3.234Helped
Add U-CAN denoising to the unsupervised point-cloud denoising methodPUNet 10K point clouds · PUNet 10K, 3% noiseCD ×10^4: 4.708 -> 3.666Helped
Add the denoising consistency constraint to ZS-N2NZS-N2N · McMaster18, Poisson λ=50PSNR (dB): 30.36 -> 31.03Helped
Add the denoising consistency constraint to ZS-N2NZS-N2N · McMaster18, Poisson λ=25PSNR (dB): 28.41 -> 29.14Helped
Add the denoising consistency constraint to ZS-N2NZS-N2N · McMaster18, Poisson λ=10PSNR (dB): 25.75 -> 26.52Helped
Remove the denoising consistency loss (ablation)U-CAN · PUNet 10K, 3% noiseCD ×10^4: 3.66 -> 7.22Hurt
Replace EMD with CD in the noise-to-noise matching loss (ablation)U-CAN · PUNet point-cloud denoisingdenoising performanceHurt
Replace EMD with DCD in the noise-to-noise matching loss (ablation)U-CAN · PUNet point-cloud denoisingtraining stabilityHurt
Vary the number of denoising steps from 1 to 7 (ablation)U-CAN · PUNet point-cloud denoisingdenoising performanceMixed

Surprising findings

Limitations

Experimental setup

Datasets: PUNet Paris-rue-Madame McMaster18

Benchmarks: PUNet Paris-rue-Madame McMaster18

Metrics: Chamfer distance point-to-mesh distance PSNR

Baselines: Bilateral Jet MRPCA GLR PCNet GPDNet DMR ScoreDenoise TTD DMR-TTD ScoreDenoise-TTD PU-Net

Builds on: Noise2Noise DGCNN ZS-N2N TotalDenoising

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