mlsanityData to 7 Oct 2026

GraphFit: Learning Multi-scale Graph-Convolutional Representation for Point Cloud Normal Estimation

arXiv 2207.11484 ↗First posted 23 Jul 2022cs.CVcited by 20

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Abstract (arXiv)

We propose a precise and efficient normal estimation method that can deal with noise and nonuniform density for unstructured 3D point clouds. Unlike existing approaches that directly take patches and ignore the local neighborhood relationships, which make them susceptible to challenging regions such as sharp edges, we propose to learn graph convolutional feature representation for normal estimation, which emphasizes more local neighborhood geometry and effectively encodes intrinsic relationships. Additionally, we design a novel adaptive module based on the attention mechanism to integrate point features with their neighboring features, hence further enhancing the robustness of the proposed normal estimator against point density variations. To make it more distinguishable, we introduce a multi-scale architecture in the graph block to learn richer geometric features. Our method outperforms competitors with the state-of-the-art accuracy on various benchmark datasets, and is quite robust against noise, outliers, as well as the density variations.

Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Builds on 17 of its 45 references that are in the map. First posted on arXiv 23 Jul 2022.

Builds on

17 of 45 references.

References · 17

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2016PointNet: Deep Learning on Point Sets for 3D Classification and Segmentationcited by 5,223
  3. 2017Squeeze-and-Excitation Networkscited by 4,763
  4. 2017PointNet++: Deep Hierarchical Feature Learning on Point Sets in a Metric Spacecited by 4,384
  5. 2018Dynamic Graph CNN for Learning on Point Cloudscited by 2,220
  6. 2017Pointwise Convolutional Neural Networkscited by 126
  7. 2019PointCleanNet: Learning to Denoise and Remove Outliers from Dense Point Cloudscited by 99
  8. 2017PCPNET: Learning Local Shape Properties from Raw Point Cloudscited by 97
  9. 2018EC-Net: an Edge-aware Point set Consolidation Networkcited by 84
  10. 2019Total Denoising: Unsupervised Learning of 3D Point Cloud Cleaningcited by 58
  11. 2020Pointfilter: Point Cloud Filtering via Encoder-Decoder Modelingcited by 50
  12. 2018Nesti-Net: Normal Estimation for Unstructured 3D Point Clouds using Convolutional Neural Networkscited by 44
5 more
  1. 2020DeepFit: 3D Surface Fitting via Neural Network Weighted Least Squarescited by 43
  2. 2020Learning Graph-Convolutional Representations for Point Cloud Denoisingcited by 40
  3. 2020Deep Feature-preserving Normal Estimation for Point Cloud Filteringcited by 36
  4. 2021AdaFit: Rethinking Learning-based Normal Estimation on Point Cloudscited by 29
  5. 2020Neighbourhood-Insensitive Point Cloud Normal Estimation Networkcited by 8

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 7; 2024: 5; 2025: 5; 2026: 1.

20 papers.

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  1. 2022NeAF: Learning Neural Angle Fields for Point Normal Estimationcited by 38
  2. 2023Rethinking the Approximation Error in 3D Surface Fitting for Point Cloud Normal Estimationcited by 13
  3. 2023Neural Gradient Learning and Optimization for Oriented Point Normal Estimationcited by 11
  4. 2023Learning Signed Hyper Surfaces for Oriented Point Cloud Normal Estimationcited by 10
  5. 2023NeuralGF: Unsupervised Point Normal Estimation by Learning Neural Gradient Functioncited by 10
  6. 2023MSECNet: Accurate and Robust Normal Estimation for 3D Point Clouds by Multi-Scale Edge Conditioningcited by 6
  7. 2023CMG-Net: Robust Normal Estimation for Point Clouds via Chamfer Normal Distance and Multi-scale Geometrycited by 6
  8. 2025PFF-Net: Patch Feature Fitting for Point Cloud Normal Estimationcited by 3
  9. 2022Normal Transformer: Extracting Surface Geometry from LiDAR Points Enhanced by Visual Semanticscited by 2
  10. 2025Learning Normals of Noisy Points by Local Gradient-Aware Surface Filteringcited by 2
  11. 2025LiSu: A Dataset and Method for LiDAR Surface Normal Estimationcited by 1
  12. 2026GLASS: Geometry-aware Local Alignment and Structure Synchronization Network for 2D-3D Registrationcited by 1
8 more
  1. 2023PointNorm-Net: Self-Supervised Normal Prediction of 3D Point Clouds via Multi-Modal Distribution Estimationcited by 0
  2. 2024Surface Normal Estimation with Transformerscited by 0
  3. 2024E3-Net: Efficient E(3)-Equivariant Normal Estimation Networkcited by 0
  4. 2024Asymmetrical Siamese Network for Point Clouds Normal Estimationcited by 0
  5. 2024Refining 3D Point Cloud Normal Estimation via Sample Selectioncited by 0
  6. 2024OCMG-Net: Neural Oriented Normal Refinement for Unstructured Point Cloudscited by 0
  7. 2025Graph-based Point Cloud Surface Reconstruction using B-Splinescited by 0
  8. 2025MambaH-Fit: Rethinking Hyper-surface Fitting-based Point Cloud Normal Estimation via State Space Modellingcited by 0