3D Neural Edge Reconstruction
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Abstract (arXiv)
Real-world objects and environments are predominantly composed of edge features, including straight lines and curves. Such edges are crucial elements for various applications, such as CAD modeling, surface meshing, lane mapping, etc. However, existing traditional methods only prioritize lines over curves for simplicity in geometric modeling. To this end, we introduce EMAP, a new method for learning 3D edge representations with a focus on both lines and curves. Our method implicitly encodes 3D edge distance and direction in Unsigned Distance Functions (UDF) from multi-view edge maps. On top of this neural representation, we propose an edge extraction algorithm that robustly abstracts parametric 3D edges from the inferred edge points and their directions. Comprehensive evaluations demonstrate that our method achieves better 3D edge reconstruction on multiple challenging datasets. We further show that our learned UDF field enhances neural surface reconstruction by capturing more details.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 54 of its 76 references that are in the map. First posted on arXiv 29 May 2024.
Builds on
54 of 76 references.
References · 54
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38 more
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50 most cited of 54 All 54 (JSON)
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Citing papers per year: 2024: 2; 2025: 7; 2026: 3.
12 papers.
- 2025Sketch and Patch: Efficient 3D Gaussian Representation for Man-Made Scenescited by 20
- 2024EdgeGaussians -- 3D Edge Mapping via Gaussian Splattingcited by 10
- 2025Curve-Aware Gaussian Splatting for 3D Parametric Curve Reconstructioncited by 9
- 2025SketchSplat: 3D Edge Reconstruction via Differentiable Multi-view Sketch Splattingcited by 5
- 2025WIR3D: Visually-Informed and Geometry-Aware 3D Shape Abstractioncited by 3
- 2025Recovering Dynamic 3D Sketches from Videoscited by 2
- 2026Sketch&Patch++: Efficient Structure-Aware 3D Gaussian Representationcited by 1
- 2026Interacted Planes Reveal 3D Line Mappingcited by 1
- 2024LapisGS: Layered Progressive 3D Gaussian Splatting for Adaptive Streamingcited by 0
- 2025MRASfM: Multi-Camera Reconstruction and Aggregation through Structure-from-Motion in Driving Scenescited by 0
- 2025Order Matters: 3D Shape Generation from Sequential VR Sketchescited by 0
- 2026RoEL: Robust Event-based 3D Line Reconstructioncited by 0
- 2026RoEL: Robust Event-based 3D Line Reconstruction20 Feb 2026
- 2026Interacted Planes Reveal 3D Line Mapping1 Feb 2026
- 2026Sketch&Patch++: Efficient Structure-Aware 3D Gaussian Representation8 Jan 2026
- 2025Order Matters: 3D Shape Generation from Sequential VR Sketches4 Dec 2025
- 2025MRASfM: Multi-Camera Reconstruction and Aggregation through Structure-from-Motion in Driving Scenes17 Oct 2025
- 2025Curve-Aware Gaussian Splatting for 3D Parametric Curve Reconstruction26 Jun 2025
- 2025WIR3D: Visually-Informed and Geometry-Aware 3D Shape Abstraction7 May 2025
- 2025Recovering Dynamic 3D Sketches from Videos26 Mar 2025
- 2025SketchSplat: 3D Edge Reconstruction via Differentiable Multi-view Sketch Splatting18 Mar 2025
- 2025Sketch and Patch: Efficient 3D Gaussian Representation for Man-Made Scenes22 Jan 2025
- 2024EdgeGaussians -- 3D Edge Mapping via Gaussian Splatting19 Sep 2024
- 2024LapisGS: Layered Progressive 3D Gaussian Splatting for Adaptive Streaming27 Aug 2024