mlsanityData to 7 Oct 2026

CAP-UDF: Learning Unsigned Distance Functions Progressively from Raw Point Clouds with Consistency-Aware Field Optimization

arXiv 2210.02757 ↗First posted 6 Oct 2022cs.CVcited by 46

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Abstract (arXiv)

Surface reconstruction for point clouds is an important task in 3D computer vision. Most of the latest methods resolve this problem by learning signed distance functions from point clouds, which are limited to reconstructing closed surfaces. Some other methods tried to represent open surfaces using unsigned distance functions (UDF) which are learned from ground truth distances. However, the learned UDF is hard to provide smooth distance fields due to the discontinuous character of point clouds. In this paper, we propose CAP-UDF, a novel method to learn consistency-aware UDF from raw point clouds. We achieve this by learning to move queries onto the surface with a field consistency constraint, where we also enable to progressively estimate a more accurate surface. Specifically, we train a neural network to gradually infer the relationship between queries and the approximated surface by searching for the moving target of queries in a dynamic way. Meanwhile, we introduce a polygonization algorithm to extract surfaces using the gradients of the learned UDF. We conduct comprehensive experiments in surface reconstruction for point clouds, real scans or depth maps, and further explore our performance in unsupervised point normal estimation, which demonstrate non-trivial improvements of CAP-UDF over the state-of-the-art methods.

Key facts. Cited by 46 papers in the map (data through 7 Oct 2026). Builds on 54 of its 94 references that are in the map. First posted on arXiv 6 Oct 2022.

Builds on

54 of 94 references.

References · 54

  1. 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,682
  2. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,214
  3. 2018Occupancy Networks: Learning 3D Reconstruction in Function Spacecited by 2,037
  4. 2021NeuS: Learning Neural Implicit Surfaces by Volume Rendering for Multi-view Reconstructioncited by 1,701
  5. 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
  6. 2020Convolutional Occupancy Networkscited by 760
  7. 2020Implicit Geometric Regularization for Learning Shapescited by 707
  8. 2021UNISURF: Unifying Neural Implicit Surfaces and Radiance Fields for Multi-View Reconstructioncited by 643
  9. 2019SAL: Sign Agnostic Learning of Shapes from Raw Datacited by 389
  10. 2018PCN: Point Completion Networkcited by 382
  11. 2020Local Implicit Grid Representations for 3D Scenescited by 372
  12. 2020Implicit Functions in Feature Space for 3D Shape Reconstruction and Completioncited by 343
38 more
  1. 2020Deep Local Shapes: Learning Local SDF Priors for Detailed 3D Reconstructioncited by 321
  2. 2021Neural RGB-D Surface Reconstructioncited by 312
  3. 2020Neural Unsigned Distance Fields for Implicit Function Learningcited by 265
  4. 2019Multi-Garment Net: Learning to Dress 3D People from Imagescited by 244
  5. 2019Learning Shape Templates with Structured Implicit Functionscited by 242
  6. 2018PU-Net: Point Cloud Upsampling Networkcited by 208
  7. 2021Shape As Points: A Differentiable Poisson Solvercited by 186
  8. 2019PU-GAN: a Point Cloud Upsampling Adversarial Networkcited by 162
  9. 2019SDFDiff: Differentiable Rendering of Signed Distance Fields for 3D Shape Optimizationcited by 159
  10. 2020Neural-Pull: Learning Signed Distance Functions from Point Clouds by Learning to Pull Space onto Surfacescited by 146
  11. 2021BACON: Band-limited Coordinate Networks for Multiscale Scene Representationcited by 142
  12. 2022HF-NeuS: Improved Surface Reconstruction Using High-Frequency Detailscited by 120
  13. 2020SALD: Sign Agnostic Learning with Derivativescited by 115
  14. 2018Deep Geometric Prior for Surface Reconstructioncited by 110
  15. 2017PCPNET: Learning Local Shape Properties from Raw Point Cloudscited by 97
  16. 2022POCO: Point Convolution for Surface Reconstructioncited by 91
  17. 2020PatchNets: Patch-Based Generalizable Deep Implicit 3D Shape Representationscited by 81
  18. 2021MeshUDF: Fast and Differentiable Meshing of Unsigned Distance Field Networkscited by 75
  19. 2021Deep Implicit Moving Least-Squares Functions for 3D Reconstructioncited by 67
  20. 2020Curriculum DeepSDFcited by 62
  21. 2022GO-Surf: Neural Feature Grid Optimization for Fast, High-Fidelity RGB-D Surface Reconstructioncited by 61
  22. 2022Reconstructing Surfaces for Sparse Point Clouds with On-Surface Priorscited by 60
  23. 2022PMP-Net++: Point Cloud Completion by Transformer-Enhanced Multi-step Point Moving Pathscited by 57
  24. 2022Surface Reconstruction from Point Clouds by Learning Predictive Context Priorscited by 54
  25. 2019Deep Level Sets: Implicit Surface Representations for 3D Shape Inferencecited by 52
  26. 2020RoutedFusion: Learning Real-time Depth Map Fusioncited by 52
  27. 20223D Shape Reconstruction from 2D Images with Disentangled Attribute Flowcited by 45
  28. 2022GIFS: Neural Implicit Function for General Shape Representationcited by 45
  29. 2018Nesti-Net: Normal Estimation for Unstructured 3D Point Clouds using Convolutional Neural Networkscited by 44
  30. 2020DeepFit: 3D Surface Fitting via Neural Network Weighted Least Squarescited by 43
  31. 2022Learning Deep Implicit Functions for 3D Shapes with Dynamic Code Cloudscited by 42
  32. 2021Deep Implicit Surface Point Prediction Networkscited by 40
  33. 2020Iso-Points: Optimizing Neural Implicit Surfaces with Hybrid Representationscited by 39
  34. 2022Snowflake Point Deconvolution for Point Cloud Completion and Generation with Skip-Transformercited by 38
  35. 2021Learning Anchored Unsigned Distance Functions with Gradient Direction Alignment for Single-view Garment Reconstructioncited by 36
  36. 2019SSRNet: Scalable 3D Surface Reconstruction Networkcited by 35
  37. 2021Orienting Point Clouds with Dipole Propagationcited by 31
  38. 2020SPU-Net: Self-Supervised Point Cloud Upsampling by Coarse-to-Fine Reconstruction with Self-Projection Optimizationcited by 26

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 1; 2023: 17; 2024: 13; 2025: 13; 2026: 2.

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  1. 2024Advances in 3D Generation: A Surveycited by 62
  2. 2024DiffGS: Functional Gaussian Splatting Diffusioncited by 50
  3. 2024Binocular-Guided 3D Gaussian Splatting with View Consistency for Sparse View Synthesiscited by 41
  4. 2023Towards Better Gradient Consistency for Neural Signed Distance Functions via Level Set Alignmentcited by 39
  5. 2023Learning a More Continuous Zero Level Set in Unsigned Distance Fields through Level Set Projectioncited by 36
  6. 2023NeuSurf: On-Surface Priors for Neural Surface Reconstruction from Sparse Input Viewscited by 36
  7. 2023Differentiable Registration of Images and LiDAR Point Clouds with VoxelPoint-to-Pixel Matchingcited by 35
  8. 2023Neural-Singular-Hessian: Implicit Neural Representation of Unoriented Point Clouds by Enforcing Singular Hessiancited by 34
  9. 2024Zero-Shot Scene Reconstruction from Single Images with Deep Prior Assemblycited by 34
  10. 2022GeoUDF: Surface Reconstruction from 3D Point Clouds via Geometry-guided Distance Representationcited by 28
  11. 2023Unsupervised Inference of Signed Distance Functions from Single Sparse Point Clouds without Learning Priorscited by 28
  12. 2023Learning Signed Distance Functions from Noisy 3D Point Clouds via Noise to Noise Mappingcited by 27
34 more
  1. 2025MaterialRefGS: Reflective Gaussian Splatting with Multi-view Consistent Material Inferencecited by 22
  2. 2023Robust Zero Level-Set Extraction from Unsigned Distance Fields Based on Double Coveringcited by 21
  3. 2024MAtCha Gaussians: Atlas of Charts for High-Quality Geometry and Photorealism From Sparse Viewscited by 21
  4. 2023Learning Continuous Implicit Field with Local Distance Indicator for Arbitrary-Scale Point Cloud Upsamplingcited by 19
  5. 2024VRP-UDF: Towards Unbiased Learning of Unsigned Distance Functions from Multi-view Images with Volume Rendering Priorscited by 17
  6. 2023Neural Vector Fields: Implicit Representation by Explicit Learningcited by 16
  7. 2024Fast Learning of Signed Distance Functions from Noisy Point Clouds via Noise to Noise Mappingcited by 15
  8. 2025GaussianUDF: Inferring Unsigned Distance Functions through 3D Gaussian Splattingcited by 14
  9. 2025NeRFPrior: Learning Neural Radiance Field as a Prior for Indoor Scene Reconstructioncited by 12
  10. 2023GridPull: Towards Scalability in Learning Implicit Representations from 3D Point Cloudscited by 11
  11. 2023Learning Neural Implicit through Volume Rendering with Attentive Depth Fusion Priorscited by 11
  12. 2023Learning Signed Hyper Surfaces for Oriented Point Cloud Normal Estimationcited by 10
  13. 2023Robustifying Generalizable Implicit Shape Networks with a Tunable Non-Parametric Modelcited by 10
  14. 2025SparseRecon: Neural Implicit Surface Reconstruction from Sparse Views with Feature and Depth Consistenciescited by 9
  15. 2024Spurfies: Sparse Surface Reconstruction using Local Geometry Priorscited by 8
  16. 2025Learning Bijective Surface Parameterization for Inferring Signed Distance Functions from Sparse Point Clouds with Grid Deformationcited by 7
  17. 2025GAP: Gaussianize Any Point Clouds with Text Guidancecited by 7
  18. 2023Retro-FPN: Retrospective Feature Pyramid Network for Point Cloud Semantic Segmentationcited by 6
  19. 2023Coordinate Quantized Neural Implicit Representations for Multi-view Reconstructioncited by 5
  20. 2024Monge-Ampere Regularization for Learning Arbitrary Shapes from Point Cloudscited by 5
  21. 2024Learning Local Pattern Modularization for Point Cloud Reconstruction from Unseen Classescited by 3
  22. 2025U-CAN: Unsupervised Point Cloud Denoising with Consistency-Aware Noise2Noise Matchingcited by 3
  23. 2023Neural Vector Fields: Generalizing Distance Vector Fields by Codebooks and Zero-Curl Regularizationcited by 2
  24. 2025Learning Normals of Noisy Points by Local Gradient-Aware Surface Filteringcited by 2
  25. 2025High Resolution UDF Meshing via Iterative Networkscited by 2
  26. 2024Surface Reconstruction from Point Clouds via Grid-based Intersection Predictioncited by 1
  27. 2025UltraBoneUDF: Self-supervised Bone Surface Reconstruction from Ultrasound Based on Neural Unsigned Distance Functionscited by 1
  28. 2025TeSO: Representing and Compressing 3D Point Cloud Scenes with Textured Surfel Octreecited by 1
  29. 2026AnySurf: Any Surface Generation with Directed Edgecited by 1
  30. 2024Neural Octahedral Field: Octahedral prior for simultaneous smoothing and sharp edge regularizationcited by 0
  31. 2024Geometry Distributionscited by 0
  32. 2025Neural Shortest Path for Surface Reconstruction from Point Cloudscited by 0
  33. 2025T-MLP: Tailed Multi-Layer Perceptron for Level-of-Detail Signal Representationcited by 0
  34. 2026SAND: Spatially Adaptive Network Depth for Fast Sampling of Neural Implicit Surfacescited by 0