PC2WF: 3D Wireframe Reconstruction from Raw Point Clouds
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Abstract (arXiv)
We introduce PC2WF, the first end-to-end trainable deep network architecture to convert a 3D point cloud into a wireframe model. The network takes as input an unordered set of 3D points sampled from the surface of some object, and outputs a wireframe of that object, i.e., a sparse set of corner points linked by line segments. Recovering the wireframe is a challenging task, where the numbers of both vertices and edges are different for every instance, and a-priori unknown. Our architecture gradually builds up the model: It starts by encoding the points into feature vectors. Based on those features, it identifies a pool of candidate vertices, then prunes those candidates to a final set of corner vertices and refines their locations. Next, the corners are linked with an exhaustive set of candidate edges, which is again pruned to obtain the final wireframe. All steps are trainable, and errors can be backpropagated through the entire sequence. We validate the proposed model on a publicly available synthetic dataset, for which the ground truth wireframes are accessible, as well as on a new real-world dataset. Our model produces wireframe abstractions of good quality and outperforms several baselines.
Key facts. Cited by 33 papers in the map (data through 13 Oct 2026). Builds on 19 of its 49 references that are in the map. First posted on arXiv 4 Mar 2021.
Builds on
19 of 49 references.
References · 19
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- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,656
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- 2018LayoutNet: Reconstructing the 3D Room Layout from a Single RGB Imagecited by 94
- 2018Supervised Fitting of Geometric Primitives to 3D Point Cloudscited by 91
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7 more
- 2019End-to-End Wireframe Parsingcited by 72
- 2020Learning to Parse Wireframes in Images of Man-Made Environmentscited by 71
- 2020PIE-NET: Parametric Inference of Point Cloud Edgescited by 67
- 2020Holistically-Attracted Wireframe Parsingcited by 63
- 2019Learning to Reconstruct 3D Manhattan Wireframes from a Single Imagecited by 35
- 2017Fast Resampling of 3D Point Clouds via Graphscited by 25
- 2018Edge and Corner Detection for Unorganized 3D Point Clouds with Application to Robotic Weldingcited by 14
Built on by
Citing papers per year: 2021: 1; 2022: 3; 2023: 6; 2024: 10; 2025: 6; 2026: 7.
33 papers.
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- 2024CAD-Recode: Reverse Engineering CAD Code from Point Cloudscited by 65
- 2024CAD-SIGNet: CAD Language Inference from Point Clouds using Layer-wise Sketch Instance Guided Attentioncited by 63
- 2024TransCAD: A Hierarchical Transformer for CAD Sequence Inference from Point Cloudscited by 29
- 2023Building3D: An Urban-Scale Dataset and Benchmarks for Learning Roof Structures from Point Cloudscited by 24
- 2023NEF: Neural Edge Fields for 3D Parametric Curve Reconstruction from Multi-view Imagescited by 22
- 2023NerVE: Neural Volumetric Edges for Parametric Curve Extraction from Point Cloudcited by 22
- 2025Sketch and Patch: Efficient 3D Gaussian Representation for Man-Made Scenescited by 20
- 2022ComplexGen: CAD Reconstruction by B-Rep Chain Complex Generationcited by 17
- 2023SepicNet: Sharp Edges Recovery by Parametric Inference of Curves in 3D Shapescited by 13
- 2022HoW-3D: Holistic 3D Wireframe Perception from a Single Imagecited by 12
- 20243D Neural Edge Reconstructioncited by 12
- 2024EdgeGaussians -- 3D Edge Mapping via Gaussian Splattingcited by 10
21 more
- 2025Curve-Aware Gaussian Splatting for 3D Parametric Curve Reconstructioncited by 10
- 2022Learning to Construct 3D Building Wireframes from 3D Line Cloudscited by 9
- 2024Generating 3D House Wireframes with Semanticscited by 8
- 2025CLR-Wire: Towards Continuous Latent Representations for 3D Curve Wireframe Generationcited by 7
- 2023PBWR: Parametric Building Wireframe Reconstruction from Aerial LiDAR Point Cloudscited by 5
- 20213D Parametric Wireframe Extraction Based on Distance Fieldscited by 4
- 2024MV2Cyl: Reconstructing 3D Extrusion Cylinders from Multi-View Imagescited by 3
- 2025Explaining Human Preferences via Metrics for Structured 3D Reconstructioncited by 3
- 2024APC2Mesh: Bridging the gap from occluded building faccades to full 3D modelscited by 2
- 2024LineGS : 3D Line Segment Representation on 3D Gaussian Splattingcited by 2
- 2025PI3DETR: Parametric Instance Detection of 3D Point Cloud Edges With a Geometry-Aware 3DETRcited by 2
- 2023PRS: Sharp Feature Priors for Resolution-Free Surface Remeshingcited by 1
- 2026Sketch&Patch++: Efficient Structure-Aware 3D Gaussian Representationcited by 1
- 20263DrawAgent: Teaching LLM to Draw in 3D with Early Contrastive Experiencecited by 1
- 2024LapisGS: Layered Progressive 3D Gaussian Splatting for Adaptive Streamingcited by 0
- 2025STAR-Edge: Structure-aware Local Spherical Curve Representation for Thin-walled Edge Extraction from Unstructured Point Cloudscited by 0
- 2026Detecting 3D Line Segments for 6DoF Pose Estimation with Limited Datacited by 0
- 2026Delaunay Canopy: Building Wireframe Reconstruction from Airborne LiDAR Point Clouds via Delaunay Graphcited by 0
- 2026FrameTwin: Curve-Anchored Gaussian Alignment from Sparse Views for Adaptive Wireframe 3D Printingcited by 0
- 2026Learned Suppression for 3D Keypoint Detection with a Graph-Transformer Backbonecited by 0
- 2026SAVMap: Structure-Aided Visual Mapping of Large-Scale 2.5D Manhattan Wireframes from Panoramic Videocited by 0
- 2026SAVMap: Structure-Aided Visual Mapping of Large-Scale 2.5D Manhattan Wireframes from Panoramic Video1 Jun 2026
- 2026Learned Suppression for 3D Keypoint Detection with a Graph-Transformer Backbone14 May 2026
- 2026FrameTwin: Curve-Anchored Gaussian Alignment from Sparse Views for Adaptive Wireframe 3D Printing10 May 2026
- 20263DrawAgent: Teaching LLM to Draw in 3D with Early Contrastive Experience9 Apr 2026
- 2026Delaunay Canopy: Building Wireframe Reconstruction from Airborne LiDAR Point Clouds via Delaunay Graph2 Apr 2026
- 2026Detecting 3D Line Segments for 6DoF Pose Estimation with Limited Data17 Jan 2026
- 2026Sketch&Patch++: Efficient Structure-Aware 3D Gaussian Representation8 Jan 2026
- 2025PI3DETR: Parametric Instance Detection of 3D Point Cloud Edges With a Geometry-Aware 3DETR3 Sep 2025
- 2025Curve-Aware Gaussian Splatting for 3D Parametric Curve Reconstruction26 Jun 2025
- 2025CLR-Wire: Towards Continuous Latent Representations for 3D Curve Wireframe Generation27 Apr 2025
- 2025Explaining Human Preferences via Metrics for Structured 3D Reconstruction11 Mar 2025
- 2025STAR-Edge: Structure-aware Local Spherical Curve Representation for Thin-walled Edge Extraction from Unstructured Point Clouds2 Mar 2025
21 more
- 2025Sketch and Patch: Efficient 3D Gaussian Representation for Man-Made Scenes22 Jan 2025
- 2024CAD-Recode: Reverse Engineering CAD Code from Point Clouds18 Dec 2024
- 2024LineGS : 3D Line Segment Representation on 3D Gaussian Splatting30 Nov 2024
- 2024EdgeGaussians -- 3D Edge Mapping via Gaussian Splatting19 Sep 2024
- 2024LapisGS: Layered Progressive 3D Gaussian Splatting for Adaptive Streaming27 Aug 2024
- 2024TransCAD: A Hierarchical Transformer for CAD Sequence Inference from Point Clouds17 Jul 2024
- 2024Generating 3D House Wireframes with Semantics17 Jul 2024
- 2024MV2Cyl: Reconstructing 3D Extrusion Cylinders from Multi-View Images16 Jun 2024
- 20243D Neural Edge Reconstruction29 May 2024
- 2024APC2Mesh: Bridging the gap from occluded building faccades to full 3D models3 Apr 2024
- 2024CAD-SIGNet: CAD Language Inference from Point Clouds using Layer-wise Sketch Instance Guided Attention27 Feb 2024
- 2023PRS: Sharp Feature Priors for Resolution-Free Surface Remeshing30 Nov 2023
- 2023PBWR: Parametric Building Wireframe Reconstruction from Aerial LiDAR Point Clouds18 Nov 2023
- 2023Building3D: An Urban-Scale Dataset and Benchmarks for Learning Roof Structures from Point Clouds21 Jul 2023
- 2023SepicNet: Sharp Edges Recovery by Parametric Inference of Curves in 3D Shapes13 Apr 2023
- 2023NerVE: Neural Volumetric Edges for Parametric Curve Extraction from Point Cloud29 Mar 2023
- 2023NEF: Neural Edge Fields for 3D Parametric Curve Reconstruction from Multi-view Images14 Mar 2023
- 2022Learning to Construct 3D Building Wireframes from 3D Line Clouds25 Aug 2022
- 2022HoW-3D: Holistic 3D Wireframe Perception from a Single Image15 Aug 2022
- 2022ComplexGen: CAD Reconstruction by B-Rep Chain Complex Generation29 May 2022
- 20213D Parametric Wireframe Extraction Based on Distance Fields13 Jul 2021
- 2024CAD-Recode: Reverse Engineering CAD Code from Point Cloudscited by 65
- 2024CAD-SIGNet: CAD Language Inference from Point Clouds using Layer-wise Sketch Instance Guided Attentioncited by 63
- 2024TransCAD: A Hierarchical Transformer for CAD Sequence Inference from Point Cloudscited by 29
- 2023Building3D: An Urban-Scale Dataset and Benchmarks for Learning Roof Structures from Point Cloudscited by 24
- 2023NEF: Neural Edge Fields for 3D Parametric Curve Reconstruction from Multi-view Imagescited by 22
- 2023NerVE: Neural Volumetric Edges for Parametric Curve Extraction from Point Cloudcited by 22
- 2025Sketch and Patch: Efficient 3D Gaussian Representation for Man-Made Scenescited by 20
- 2022ComplexGen: CAD Reconstruction by B-Rep Chain Complex Generationcited by 17
- 2023SepicNet: Sharp Edges Recovery by Parametric Inference of Curves in 3D Shapescited by 13
- 2022HoW-3D: Holistic 3D Wireframe Perception from a Single Imagecited by 12
- 20243D Neural Edge Reconstructioncited by 12
- 2024EdgeGaussians -- 3D Edge Mapping via Gaussian Splattingcited by 10
12 most cited of 33 All 33 (JSON)
- 2026SAVMap: Structure-Aided Visual Mapping of Large-Scale 2.5D Manhattan Wireframes from Panoramic Video1 Jun 2026
- 2026Learned Suppression for 3D Keypoint Detection with a Graph-Transformer Backbone14 May 2026
- 2026FrameTwin: Curve-Anchored Gaussian Alignment from Sparse Views for Adaptive Wireframe 3D Printing10 May 2026
- 20263DrawAgent: Teaching LLM to Draw in 3D with Early Contrastive Experience9 Apr 2026
- 2026Delaunay Canopy: Building Wireframe Reconstruction from Airborne LiDAR Point Clouds via Delaunay Graph2 Apr 2026
- 2026Detecting 3D Line Segments for 6DoF Pose Estimation with Limited Data17 Jan 2026
- 2026Sketch&Patch++: Efficient Structure-Aware 3D Gaussian Representation8 Jan 2026
- 2025PI3DETR: Parametric Instance Detection of 3D Point Cloud Edges With a Geometry-Aware 3DETR3 Sep 2025
- 2025Curve-Aware Gaussian Splatting for 3D Parametric Curve Reconstruction26 Jun 2025
- 2025CLR-Wire: Towards Continuous Latent Representations for 3D Curve Wireframe Generation27 Apr 2025
- 2025Explaining Human Preferences via Metrics for Structured 3D Reconstruction11 Mar 2025
- 2025STAR-Edge: Structure-aware Local Spherical Curve Representation for Thin-walled Edge Extraction from Unstructured Point Clouds2 Mar 2025
12 newest of 33 All 33 (JSON)