Variational Relational Point Completion Network
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Abstract (arXiv)
Real-scanned point clouds are often incomplete due to viewpoint, occlusion, and noise. Existing point cloud completion methods tend to generate global shape skeletons and hence lack fine local details. Furthermore, they mostly learn a deterministic partial-to-complete mapping, but overlook structural relations in man-made objects. To tackle these challenges, this paper proposes a variational framework, Variational Relational point Completion network (VRCNet) with two appealing properties: 1) Probabilistic Modeling. In particular, we propose a dual-path architecture to enable principled probabilistic modeling across partial and complete clouds. One path consumes complete point clouds for reconstruction by learning a point VAE. The other path generates complete shapes for partial point clouds, whose embedded distribution is guided by distribution obtained from the reconstruction path during training. 2) Relational Enhancement. Specifically, we carefully design point self-attention kernel and point selective kernel module to exploit relational point features, which refines local shape details conditioned on the coarse completion. In addition, we contribute a multi-view partial point cloud dataset (MVP dataset) containing over 100,000 high-quality scans, which renders partial 3D shapes from 26 uniformly distributed camera poses for each 3D CAD model. Extensive experiments demonstrate that VRCNet outperforms state-of-theart methods on all standard point cloud completion benchmarks. Notably, VRCNet shows great generalizability and robustness on real-world point cloud scans.
Key facts. Cited by 104 papers in the map (data through 13 Oct 2026). Builds on 22 of its 32 references that are in the map. First posted on arXiv 20 Apr 2021.
Builds on
22 of 32 references.
References · 22
- 2015Deep Residual Learning for Image Recognitioncited by 51,950
- 2014Adam: A Method for Stochastic Optimizationcited by 37,093
- 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,321
- 2017PointNet++: Deep Hierarchical Feature Learning on Point Sets in a Metric Spacecited by 4,389
- 2017ScanNet: Richly-annotated 3D Reconstructions of Indoor Scenescited by 3,096
- 2018Dynamic Graph CNN for Learning on Point Cloudscited by 2,222
- 2019KPConv: Flexible and Deformable Convolution for Point Cloudscited by 1,203
- 2018PointConv: Deep Convolutional Networks on 3D Point Cloudscited by 656
- 2019Stand-Alone Self-Attention in Vision Modelscited by 542
- 2018AtlasNet: A Papier-Mach'e Approach to Learning 3D Surface Generationcited by 539
- 2019Selective Kernel Networkscited by 403
- 2018PCN: Point Completion Networkcited by 383
10 more
- 2020Exploring Self-attention for Image Recognitioncited by 313
- 2019What Do Single-view 3D Reconstruction Networks Learn?cited by 260
- 2019Local Relation Networks for Image Recognitioncited by 210
- 2020GRNet: Gridding Residual Network for Dense Point Cloud Completioncited by 174
- 2019Pluralistic Image Completioncited by 162
- 2019Morphing and Sampling Network for Dense Point Cloud Completioncited by 132
- 2020Cascaded Refinement Network for Point Cloud Completioncited by 112
- 2020Point Cloud Completion by Skip-attention Network with Hierarchical Foldingcited by 106
- 2020Detail Preserved Point Cloud Completion via Separated Feature Aggregationcited by 70
- 2019PointAtrousGraph: Deep Hierarchical Encoder-Decoder with Point Atrous Convolution for Unorganized 3D Pointscited by 2
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Citing papers per year: 2021: 11; 2022: 29; 2023: 20; 2024: 20; 2025: 16; 2026: 8.
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- 2021Density-aware Chamfer Distance as a Comprehensive Metric for Point Cloud Completioncited by 111
- 2021A Conditional Point Diffusion-Refinement Paradigm for 3D Point Cloud Completioncited by 100
- 2023AdaPoinTr: Diverse Point Cloud Completion with Adaptive Geometry-Aware Transformerscited by 66
- 2021PTTR: Relational 3D Point Cloud Object Tracking with Transformercited by 65
- 2023Deep Learning on Implicit Neural Representations of Shapescited by 63
- 2022PMP-Net++: Point Cloud Completion by Transformer-Enhanced Multi-step Point Moving Pathscited by 57
- 20223D Shape Reconstruction from 2D Images with Disentangled Attribute Flowcited by 45
- 2022Comprehensive Review of Deep Learning-Based 3D Point Cloud Completion Processing and Analysiscited by 44
- 2022PointAttN: You Only Need Attention for Point Cloud Completioncited by 44
- 2021PatchFormer: An Efficient Point Transformer with Patch Attentioncited by 43
- 2022Snowflake Point Deconvolution for Point Cloud Completion and Generation with Skip-Transformercited by 38
- 2022Cross-modal Learning for Image-Guided Point Cloud Shape Completioncited by 36
38 more
- 2023SVDFormer: Complementing Point Cloud via Self-view Augmentation and Self-structure Dual-generatorcited by 34
- 2023A Conditional Denoising Diffusion Probabilistic Model for Point Cloud Upsamplingcited by 28
- 2023D-IF: Uncertainty-aware Human Digitization via Implicit Distribution Fieldcited by 26
- 2022FBNet: Feedback Network for Point Cloud Completioncited by 20
- 2023P2C: Self-Supervised Point Cloud Completion from Single Partial Cloudscited by 20
- 2022From 2D to 3D: Re-thinking Benchmarking of Monocular Depth Predictioncited by 19
- 2022Exploring Point-BEV Fusion for 3D Point Cloud Object Tracking with Transformercited by 18
- 2022Learning Local Displacements for Point Cloud Completioncited by 16
- 2025SymmCompletion: High-Fidelity and High-Consistency Point Cloud Completion with Symmetry Guidancecited by 15
- 2022Sparse2Dense: Learning to Densify 3D Features for 3D Object Detectioncited by 14
- 2022CasFusionNet: A Cascaded Network for Point Cloud Semantic Scene Completion by Dense Feature Fusioncited by 11
- 2021KTNet: Knowledge Transfer for Unpaired 3D Shape Completioncited by 9
- 2021Robust Partial-to-Partial Point Cloud Registration in a Full Rangecited by 9
- 2021Multi-View Partial (MVP) Point Cloud Challenge 2021 on Completion and Registration: Methods and Resultscited by 9
- 2022CP3: Unifying Point Cloud Completion by Pretrain-Prompt-Predict Paradigmcited by 9
- 2022Energy-Based Residual Latent Transport for Unsupervised Point Cloud Completioncited by 9
- 2022PointCA: Evaluating the Robustness of 3D Point Cloud Completion Models Against Adversarial Examplescited by 9
- 2023SCoDA: Domain Adaptive Shape Completion for Real Scanscited by 9
- 2023Can point cloud networks learn statistical shape models of anatomies?cited by 9
- 2025Hadamard product in deep learning: Introduction, Advances and Challengescited by 9
- 2021Attention-based Transformation from Latent Features to Point Cloudscited by 8
- 2023Human as Points: Explicit Point-based 3D Human Reconstruction from Single-view RGB Imagescited by 8
- 2022PatchRD: Detail-Preserving Shape Completion by Learning Patch Retrieval and Deformationcited by 7
- 2022SoftPool++: An Encoder-Decoder Network for Point Cloud Completioncited by 6
- 2022DeepMend: Learning Occupancy Functions to Represent Shape for Repaircited by 6
- 2023RoSI: Recovering 3D Shape Interiors from Few Articulation Imagescited by 6
- 2024FSC: Few-point Shape Completioncited by 6
- 2024Unsupervised 3D Point Cloud Completion via Multi-view Adversarial Learningcited by 6
- 2021Multimodal Shape Completion via IMLEcited by 5
- 2022Temporal Point Cloud Completion with Pose Disturbancecited by 5
- 2022Reconstruction-Aware Prior Distillation for Semi-supervised Point Cloud Completioncited by 5
- 2022DeepJoin: Learning a Joint Occupancy, Signed Distance, and Normal Field Function for Shape Repaircited by 5
- 2023Fine-grained Text and Image Guided Point Cloud Completion with CLIP Modelcited by 5
- 2023Deep Learning on Object-centric 3D Neural Fieldscited by 5
- 2024DMF-Net: Image-Guided Point Cloud Completion with Dual-Channel Modality Fusion and Shape-Aware Upsampling Transformercited by 5
- 2024EM-MIAs: Enhancing Membership Inference Attacks in Large Language Models through Ensemble Modelingcited by 5
- 2025DiffPCN: Latent Diffusion Model Based on Multi-view Depth Images for Point Cloud Completioncited by 5
- 2022Shape Completion with Points in the Shadowcited by 4
50 most cited of 104 All 104 (JSON)
- 2026Toward High-Fidelity 3D Point-Cloud Learning for Brain Folding Morphology Prediction Using Trans-Unet23 Jul 2026
- 2026Restore3D: Breathing Life into Broken Objects with Shape and Texture Restoration1 Jul 2026
- 2026MAGE: View-guided Point Cloud Completion with Efficient Modality Alignment and Adaptive Geometry Enhancement30 Jun 2026
- 2026Deep Spectral Models for Robust Dental Shape Generation30 Jun 2026
- 2026I2PRef: Image-Driven Point Completion with Iterative Refinement26 May 2026
- 2026SIMPC: Learning Self-Induced Mirror-Point Consistency for Unsupervised Point Cloud Denoising26 May 2026
- 2026REVNET: Rotation-Equivariant Point Cloud Completion via Vector Neuron Anchor Transformer13 Jan 2026
- 2026MGPC: Multimodal Network for Generalizable Point Cloud Completion With Modality Dropout and Progressive Decoding7 Jan 2026
- 2025Missing Pattern Tree based Decision Grouping and Ensemble for Enhancing Pair Utilization in Deep Incomplete Multi-View Clustering25 Dec 2025
- 2025Manifold-Aware Point Cloud Completion via Geodesic-Attentive Hierarchical Feature Learning5 Dec 2025
- 2025QAL: A Loss for Recall Precision Balance in 3D Reconstruction21 Nov 2025
- 2025US-X Complete: A Multi-Modal Approach to Anatomical 3D Shape Recovery19 Nov 2025
38 more
- 2025LiNeXt: Revisiting LiDAR Completion with Efficient Non-Diffusion Architectures13 Nov 2025
- 2025DANCE: Density-agnostic and Class-aware Network for Point Cloud Completion11 Nov 2025
- 2025PointMAC: Meta-Learned Adaptation for Robust Test-Time Point Cloud Completion11 Oct 2025
- 2025DiffPCN: Latent Diffusion Model Based on Multi-view Depth Images for Point Cloud Completion28 Sep 2025
- 2025CasPoinTr: Point Cloud Completion with Cascaded Networks and Knowledge Distillation27 Sep 2025
- 2025iMatcher: Improve matching in point cloud registration via local-to-global geometric consistency learning10 Sep 2025
- 2025Multi-modal Multi-task Pre-training for Improved Point Cloud Understanding23 Jul 2025
- 2025Denoising-While-Completing Network (DWCNet): Robust Point Cloud Completion Under Corruption22 Jul 2025
- 2025A Strong View-Free Baseline Approach for Single-View Image Guided Point Cloud Completion18 Jun 2025
- 2025Hadamard product in deep learning: Introduction, Advances and Challenges17 Apr 2025
- 2025Robust Unsupervised Domain Adaptation for 3D Point Cloud Segmentation Under Source Adversarial Attacks2 Apr 2025
- 2025SymmCompletion: High-Fidelity and High-Consistency Point Cloud Completion with Symmetry Guidance23 Mar 2025
- 2024EM-MIAs: Enhancing Membership Inference Attacks in Large Language Models through Ensemble Modeling23 Dec 2024
- 2024Revisiting Point Cloud Completion: Are We Ready For The Real-World?26 Nov 2024
- 2024Curvature Informed Furthest Point Sampling25 Nov 2024
- 2024Deep Learning for 3D Point Cloud Enhancement: A Survey30 Oct 2024
- 2024Enhancing Performance of Point Cloud Completion Networks with Consistency Loss9 Oct 2024
- 2024SurgPointTransformer: Vertebrae Shape Completion with RGB-D Data2 Oct 2024
- 2024Self-supervised Shape Completion via Involution and Implicit Correspondences24 Sep 2024
- 2024The Roles of Generative Artificial Intelligence in Internet of Electric Vehicles24 Sep 2024
- 2024RealDiff: Real-world 3D Shape Completion using Self-Supervised Diffusion Models16 Sep 2024
- 2024Unsupervised 3D Point Cloud Completion via Multi-view Adversarial Learning13 Jul 2024
- 2024DuInNet: Dual-Modality Feature Interaction for Point Cloud Completion10 Jul 2024
- 2024DMF-Net: Image-Guided Point Cloud Completion with Dual-Channel Modality Fusion and Shape-Aware Upsampling Transformer25 Jun 2024
- 2024Towards Consistent Object Detection via LiDAR-Camera Synergy2 May 2024
- 2024F2M-Reg: Unsupervised RGB-D Point Cloud Registration with Frame-to-Model Optimization1 May 2024
- 2024Shape Completion in the Dark: Completing Vertebrae Morphology from 3D Ultrasound11 Apr 2024
- 2024APC2Mesh: Bridging the gap from occluded building faccades to full 3D models3 Apr 2024
- 2024MASSTAR: A Multi-Modal and Large-Scale Scene Dataset with a Versatile Toolchain for Surface Prediction and Completion18 Mar 2024
- 2024FSC: Few-point Shape Completion12 Mar 2024
- 2024LISR: Learning Linear 3D Implicit Surface Representation Using Compactly Supported Radial Basis Functions11 Feb 2024
- 2024An Event-Oriented Diffusion-Refinement Method for Sparse Events Completion6 Jan 2024
- 2023Deep Learning on Object-centric 3D Neural Fields20 Dec 2023
- 2023A Conditional Denoising Diffusion Probabilistic Model for Point Cloud Upsampling3 Dec 2023
- 2023Human as Points: Explicit Point-based 3D Human Reconstruction from Single-view RGB Images6 Nov 2023
- 2023Rotation-Invariant Completion Network23 Aug 2023
- 2023D-IF: Uncertainty-aware Human Digitization via Implicit Distribution Field17 Aug 2023
- 2023Fine-grained Text and Image Guided Point Cloud Completion with CLIP Model17 Aug 2023
50 newest of 104 All 104 (JSON)
- 2021A Conditional Point Diffusion-Refinement Paradigm for 3D Point Cloud Completioncited by 100
- 2023A Conditional Denoising Diffusion Probabilistic Model for Point Cloud Upsamplingcited by 28
- 2025DiffPCN: Latent Diffusion Model Based on Multi-view Depth Images for Point Cloud Completioncited by 5
- 2024RealDiff: Real-world 3D Shape Completion using Self-Supervised Diffusion Modelscited by 0
- 2025DiffPCN: Latent Diffusion Model Based on Multi-view Depth Images for Point Cloud Completion28 Sep 2025
- 2024RealDiff: Real-world 3D Shape Completion using Self-Supervised Diffusion Models16 Sep 2024
- 2023A Conditional Denoising Diffusion Probabilistic Model for Point Cloud Upsampling3 Dec 2023
- 2021A Conditional Point Diffusion-Refinement Paradigm for 3D Point Cloud Completion7 Dec 2021
- 2021Density-aware Chamfer Distance as a Comprehensive Metric for Point Cloud Completioncited by 111
- 2023AdaPoinTr: Diverse Point Cloud Completion with Adaptive Geometry-Aware Transformerscited by 66
- 2021PTTR: Relational 3D Point Cloud Object Tracking with Transformercited by 65
- 2023Deep Learning on Implicit Neural Representations of Shapescited by 63
- 2022PMP-Net++: Point Cloud Completion by Transformer-Enhanced Multi-step Point Moving Pathscited by 57
- 20223D Shape Reconstruction from 2D Images with Disentangled Attribute Flowcited by 45
- 2022Comprehensive Review of Deep Learning-Based 3D Point Cloud Completion Processing and Analysiscited by 44
- 2022PointAttN: You Only Need Attention for Point Cloud Completioncited by 44
- 2021PatchFormer: An Efficient Point Transformer with Patch Attentioncited by 43
- 2022Snowflake Point Deconvolution for Point Cloud Completion and Generation with Skip-Transformercited by 38
- 2022Cross-modal Learning for Image-Guided Point Cloud Shape Completioncited by 36
- 2023SVDFormer: Complementing Point Cloud via Self-view Augmentation and Self-structure Dual-generatorcited by 34
12 most cited of 98 All 98 (JSON)
- 2026Toward High-Fidelity 3D Point-Cloud Learning for Brain Folding Morphology Prediction Using Trans-Unet23 Jul 2026
- 2026Restore3D: Breathing Life into Broken Objects with Shape and Texture Restoration1 Jul 2026
- 2026MAGE: View-guided Point Cloud Completion with Efficient Modality Alignment and Adaptive Geometry Enhancement30 Jun 2026
- 2026Deep Spectral Models for Robust Dental Shape Generation30 Jun 2026
- 2026I2PRef: Image-Driven Point Completion with Iterative Refinement26 May 2026
- 2026SIMPC: Learning Self-Induced Mirror-Point Consistency for Unsupervised Point Cloud Denoising26 May 2026
- 2026REVNET: Rotation-Equivariant Point Cloud Completion via Vector Neuron Anchor Transformer13 Jan 2026
- 2026MGPC: Multimodal Network for Generalizable Point Cloud Completion With Modality Dropout and Progressive Decoding7 Jan 2026
- 2025Missing Pattern Tree based Decision Grouping and Ensemble for Enhancing Pair Utilization in Deep Incomplete Multi-View Clustering25 Dec 2025
- 2025Manifold-Aware Point Cloud Completion via Geodesic-Attentive Hierarchical Feature Learning5 Dec 2025
- 2025QAL: A Loss for Recall Precision Balance in 3D Reconstruction21 Nov 2025
- 2025US-X Complete: A Multi-Modal Approach to Anatomical 3D Shape Recovery19 Nov 2025
12 newest of 98 All 98 (JSON)