MeshUDF: Fast and Differentiable Meshing of Unsigned Distance Field Networks
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Abstract (arXiv)
Unsigned Distance Fields (UDFs) can be used to represent non-watertight surfaces. However, current approaches to converting them into explicit meshes tend to either be expensive or to degrade the accuracy. Here, we extend the marching cube algorithm to handle UDFs, both fast and accurately. Moreover, our approach to surface extraction is differentiable, which is key to using pretrained UDF networks to fit sparse data.
Key facts. Cited by 75 papers in the map (data through 7 Oct 2026). Builds on 27 of its 40 references that are in the map. First posted on arXiv 29 Nov 2021.
Builds on
27 of 40 references.
References · 27
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2015ShapeNet: An Information-Rich 3D Model Repositorycited by 2,880
- 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,682
- 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,214
- 2018Occupancy Networks: Learning 3D Reconstruction in Function Spacecited by 2,037
- 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
- 2020Convolutional Occupancy Networkscited by 760
- 2020Implicit Geometric Regularization for Learning Shapescited by 707
- 2017Neural 3D Mesh Renderercited by 437
- 2019SAL: Sign Agnostic Learning of Shapes from Raw Datacited by 389
- 2019DISN: Deep Implicit Surface Network for High-quality Single-view 3D Reconstructioncited by 332
- 2020Neural Unsigned Distance Fields for Implicit Function Learningcited by 265
15 more
- 2019Multi-Garment Net: Learning to Dress 3D People from Imagescited by 244
- 2019DIST: Rendering Deep Implicit Signed Distance Function with Differentiable Sphere Tracingcited by 179
- 2021SMPLicit: Topology-aware Generative Model for Clothed Peoplecited by 154
- 2020SALD: Sign Agnostic Learning with Derivativescited by 115
- 2020MeshSDF: Differentiable Iso-Surface Extractioncited by 112
- 2018DeepWrinkles: Accurate and Realistic Clothing Modelingcited by 90
- 2020DualSDF: Semantic Shape Manipulation using a Two-Level Representationcited by 82
- 2019Controlling Neural Level Setscited by 76
- 2020Curriculum DeepSDFcited by 62
- 2021Neural Marching Cubescited by 50
- 2021Deep Implicit Surface Point Prediction Networkscited by 40
- 2018Geodesic Convolutional Shape Optimizationcited by 37
- 2021Learning Anchored Unsigned Distance Functions with Gradient Direction Alignment for Single-view Garment Reconstructioncited by 36
- 2020GarNet++: Improving Fast and Accurate Static3D Cloth Draping by Curvature Losscited by 24
- 2021DeepMesh: Differentiable Iso-Surface Extractioncited by 14
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Citing papers per year: 2022: 7; 2023: 18; 2024: 29; 2025: 16; 2026: 5.
75 papers.
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- 2025SparseFlex: High-Resolution and Arbitrary-Topology 3D Shape Modelingcited by 76
- 2022NeuralUDF: Learning Unsigned Distance Fields for Multi-view Reconstruction of Surfaces with Arbitrary Topologiescited by 62
- 2024Neural Signed Distance Function Inference through Splatting 3D Gaussians Pulled on Zero-Level Setcited by 47
- 2022CAP-UDF: Learning Unsigned Distance Functions Progressively from Raw Point Clouds with Consistency-Aware Field Optimizationcited by 46
- 2022Surface Reconstruction from Point Clouds: A Survey and a Benchmarkcited by 41
- 2023NeUDF: Leaning Neural Unsigned Distance Fields with Volume Renderingcited by 40
- 2022DrapeNet: Garment Generation and Self-Supervised Drapingcited by 39
- 2023Single-view 3D Scene Reconstruction with High-fidelity Shape and Texturecited by 37
- 2023Learning a More Continuous Zero Level Set in Unsigned Distance Fields through Level Set Projectioncited by 36
- 2023NeAT: Learning Neural Implicit Surfaces with Arbitrary Topologies from Multi-view Imagescited by 32
- 2023ISP: Multi-Layered Garment Draping with Implicit Sewing Patternscited by 31
- 2022GeoUDF: Surface Reconstruction from 3D Point Clouds via Geometry-guided Distance Representationcited by 28
38 more
- 2024Mesh-based Gaussian Splatting for Real-time Large-scale Deformationcited by 28
- 2022DIG: Draping Implicit Garment over the Human Bodycited by 26
- 2023Ghost on the Shell: An Expressive Representation of General 3D Shapescited by 24
- 2023Garment Recovery with Shape and Deformation Priorscited by 23
- 2024UDiFF: Generating Conditional Unsigned Distance Fields with Optimal Wavelet Diffusioncited by 23
- 2023Robust Zero Level-Set Extraction from Unsigned Distance Fields Based on Double Coveringcited by 21
- 2024GarmentDreamer: 3DGS Guided Garment Synthesis with Diverse Geometry and Texture Detailscited by 19
- 2024VRP-UDF: Towards Unbiased Learning of Unsigned Distance Functions from Multi-view Images with Volume Rendering Priorscited by 17
- 2023Neural Vector Fields: Implicit Representation by Explicit Learningcited by 16
- 2025GaussianUDF: Inferring Unsigned Distance Functions through 3D Gaussian Splattingcited by 14
- 2024WordRobe: Text-Guided Generation of Textured 3D Garmentscited by 13
- 2024PoNQ: a Neural QEM-based Mesh Representationcited by 12
- 2024Multimodal Latent Diffusion Model for Complex Sewing Pattern Generationcited by 12
- 2025Single View Garment Reconstruction Using Diffusion Mapping Via Pattern Coordinatescited by 12
- 2024DMesh++: An Efficient Differentiable Mesh for Complex Shapescited by 11
- 2022Neural Vector Fields for Implicit Surface Representation and Inferencecited by 10
- 2024DUDF: Differentiable Unsigned Distance Fields with Hyperbolic Scalingcited by 9
- 2024Neural-ABC: Neural Parametric Models for Articulated Body with Clothescited by 9
- 2024SimAvatar: Simulation-Ready Avatars with Layered Hair and Clothingcited by 9
- 2023SENS: Part-Aware Sketch-based Implicit Neural Shape Modelingcited by 8
- 2023Surf-D: Generating High-Quality Surfaces of Arbitrary Topologies Using Diffusion Modelscited by 8
- 2025PartSDF: Part-Based Implicit Neural Representation for Composite 3D Shape Parametrization and Optimizationcited by 8
- 20232S-UDF: A Novel Two-stage UDF Learning Method for Robust Non-watertight Model Reconstruction from Multi-view Imagescited by 7
- 2024Details Enhancement in Unsigned Distance Field Learning for High-fidelity 3D Surface Reconstructioncited by 7
- 2023SuperUDF: Self-supervised UDF Estimation for Surface Reconstructioncited by 6
- 2024Unsigned Orthogonal Distance Fields: An Accurate Neural Implicit Representation for Diverse 3D Shapescited by 6
- 2023Sketch2Cloth: Sketch-based 3D Garment Generation with Unsigned Distance Fieldscited by 5
- 2024DDM: A Metric for Comparing 3D Shapes Using Directional Distance Fieldscited by 5
- 2024Design2Cloth: 3D Cloth Generation from 2D Maskscited by 5
- 2025SPGen: Spherical Projection as Consistent and Flexible Representation for Single Image 3D Shape Generationcited by 5
- 2024Neural Surface Detection for Unsigned Distance Fieldscited by 4
- 2025LaFiTe: A Generative Latent Field for 3D Native Texturingcited by 4
- 2023A Review of Deep Learning-Powered Mesh Reconstruction Methodscited by 3
- 2024RaNeuS: Ray-adaptive Neural Surface Reconstructioncited by 3
- 2024DCUDF2: Improving Efficiency and Accuracy in Extracting Zero Level Sets from Unsigned Distance Fieldscited by 3
- 2024Occupancy-Based Dual Contouringcited by 3
- 2023Neural Vector Fields: Generalizing Distance Vector Fields by Codebooks and Zero-Curl Regularizationcited by 2
- 2024Oriented-grid Encoder for 3D Implicit Representationscited by 2
50 most cited of 75 All 75 (JSON)
- 2026VolFill: Single-View Amodal 3D Scene Reconstruction with Volumetric Flow Matching29 May 2026
- 2026AnySurf: Any Surface Generation with Directed Edge23 May 2026
- 2026Spatio-Temporal Garment Reconstruction Using Diffusion Mapping via Pattern Coordinates27 Feb 2026
- 2026Learning to Build Shapes by Extrusion30 Jan 2026
- 2026Learning Sewing Patterns via Latent Flow Matching of Implicit Fields25 Jan 2026
- 2025VoroLight: Learning Voronoi Surface Meshes via Sphere Intersection15 Dec 2025
- 2025LaFiTe: A Generative Latent Field for 3D Native Texturing4 Dec 2025
- 2025LoG3D: Ultra-High-Resolution 3D Shape Modeling via Local-to-Global Partitioning13 Nov 2025
- 2025Voronoi-Assisted Optimization for Diffusing Unsigned Distance Fields from Unoriented Points14 Oct 2025
- 2025High Resolution UDF Meshing via Iterative Networks21 Sep 2025
- 2025SPGen: Spherical Projection as Consistent and Flexible Representation for Single Image 3D Shape Generation16 Sep 2025
- 2025MIND: Material Interface Generation from UDFs for Non-Manifold Surface Reconstruction3 Jun 2025
38 more
- 2025UltraBoneUDF: Self-supervised Bone Surface Reconstruction from Ultrasound Based on Neural Unsigned Distance Functions23 May 2025
- 2025Beyond Static Perception: Integrating Temporal Context into VLMs for Cloth Folding12 May 2025
- 2025Single View Garment Reconstruction Using Diffusion Mapping Via Pattern Coordinates11 Apr 2025
- 2025SparseFlex: High-Resolution and Arbitrary-Topology 3D Shape Modeling27 Mar 2025
- 2025GaussianUDF: Inferring Unsigned Distance Functions through 3D Gaussian Splatting25 Mar 2025
- 2025OffsetOPT: Explicit Surface Reconstruction without Normals20 Mar 2025
- 2025A Text-to-3D Framework for Joint Generation of CG-Ready Humans and Compatible Garments15 Mar 2025
- 2025PartSDF: Part-Based Implicit Neural Representation for Composite 3D Shape Parametrization and Optimization18 Feb 2025
- 2025Neural Shortest Path for Surface Reconstruction from Point Clouds9 Feb 2025
- 2024DMesh++: An Efficient Differentiable Mesh for Complex Shapes21 Dec 2024
- 2024Multimodal Latent Diffusion Model for Complex Sewing Pattern Generation19 Dec 2024
- 2024SimAvatar: Simulation-Ready Avatars with Layered Hair and Clothing12 Dec 2024
- 2024Geometry Distributions25 Nov 2024
- 2024From Transparent to Opaque: Rethinking Neural Implicit Surfaces with α-NeuS8 Nov 2024
- 2024Gradient Distance Function29 Oct 2024
- 2024Neural Signed Distance Function Inference through Splatting 3D Gaussians Pulled on Zero-Level Set18 Oct 2024
- 2024Self-supervised Shape Completion via Involution and Implicit Correspondences24 Sep 2024
- 2024Occupancy-Based Dual Contouring20 Sep 2024
- 2024A Latent Implicit 3D Shape Model for Multiple Levels of Detail10 Sep 2024
- 2024DCUDF2: Improving Efficiency and Accuracy in Extracting Zero Level Sets from Unsigned Distance Fields30 Aug 2024
- 2024A Comparative Study of Neural Surface Reconstruction for Scientific Visualization30 Jul 2024
- 2024Neural Surface Detection for Unsigned Distance Fields25 Jul 2024
- 2024VRP-UDF: Towards Unbiased Learning of Unsigned Distance Functions from Multi-view Images with Volume Rendering Priors23 Jul 2024
- 2024RaNeuS: Ray-adaptive Neural Surface Reconstruction14 Jun 2024
- 2024Details Enhancement in Unsigned Distance Field Learning for High-fidelity 3D Surface Reconstruction1 Jun 2024
- 2024Self-Supervised Dual Contouring28 May 2024
- 2024GarmentDreamer: 3DGS Guided Garment Synthesis with Diverse Geometry and Texture Details20 May 2024
- 2024UDiFF: Generating Conditional Unsigned Distance Fields with Optimal Wavelet Diffusion10 Apr 2024
- 2024Neural-ABC: Neural Parametric Models for Articulated Body with Clothes6 Apr 2024
- 2024Design2Cloth: 3D Cloth Generation from 2D Masks3 Apr 2024
- 2024WordRobe: Text-Guided Generation of Textured 3D Garments26 Mar 2024
- 2024Surface Reconstruction from Point Clouds via Grid-based Intersection Prediction21 Mar 2024
- 2024PoNQ: a Neural QEM-based Mesh Representation19 Mar 2024
- 2024Unsigned Orthogonal Distance Fields: An Accurate Neural Implicit Representation for Diverse 3D Shapes3 Mar 2024
- 2024DUDF: Differentiable Unsigned Distance Fields with Hyperbolic Scaling14 Feb 2024
- 2024Oriented-grid Encoder for 3D Implicit Representations9 Feb 2024
- 2024Mesh-based Gaussian Splatting for Real-time Large-scale Deformation7 Feb 2024
- 2024DDM: A Metric for Comparing 3D Shapes Using Directional Distance Fields18 Jan 2024
50 newest of 75 All 75 (JSON)
- 2024UDiFF: Generating Conditional Unsigned Distance Fields with Optimal Wavelet Diffusioncited by 23
- 2024Multimodal Latent Diffusion Model for Complex Sewing Pattern Generationcited by 12
- 2024SimAvatar: Simulation-Ready Avatars with Layered Hair and Clothingcited by 9
- 2023Surf-D: Generating High-Quality Surfaces of Arbitrary Topologies Using Diffusion Modelscited by 8
- 2025SPGen: Spherical Projection as Consistent and Flexible Representation for Single Image 3D Shape Generationcited by 5
- 2026Learning Sewing Patterns via Latent Flow Matching of Implicit Fieldscited by 1
- 2026VolFill: Single-View Amodal 3D Scene Reconstruction with Volumetric Flow Matchingcited by 0
- 2026VolFill: Single-View Amodal 3D Scene Reconstruction with Volumetric Flow Matching29 May 2026
- 2026Learning Sewing Patterns via Latent Flow Matching of Implicit Fields25 Jan 2026
- 2025SPGen: Spherical Projection as Consistent and Flexible Representation for Single Image 3D Shape Generation16 Sep 2025
- 2024Multimodal Latent Diffusion Model for Complex Sewing Pattern Generation19 Dec 2024
- 2024SimAvatar: Simulation-Ready Avatars with Layered Hair and Clothing12 Dec 2024
- 2024UDiFF: Generating Conditional Unsigned Distance Fields with Optimal Wavelet Diffusion10 Apr 2024
- 2023Surf-D: Generating High-Quality Surfaces of Arbitrary Topologies Using Diffusion Models28 Nov 2023
- 2025SparseFlex: High-Resolution and Arbitrary-Topology 3D Shape Modelingcited by 76
- 2022NeuralUDF: Learning Unsigned Distance Fields for Multi-view Reconstruction of Surfaces with Arbitrary Topologiescited by 62
- 2024Neural Signed Distance Function Inference through Splatting 3D Gaussians Pulled on Zero-Level Setcited by 47
- 2022CAP-UDF: Learning Unsigned Distance Functions Progressively from Raw Point Clouds with Consistency-Aware Field Optimizationcited by 46
- 2022Surface Reconstruction from Point Clouds: A Survey and a Benchmarkcited by 41
- 2023NeUDF: Leaning Neural Unsigned Distance Fields with Volume Renderingcited by 40
- 2022DrapeNet: Garment Generation and Self-Supervised Drapingcited by 39
- 2023Single-view 3D Scene Reconstruction with High-fidelity Shape and Texturecited by 37
- 2023Learning a More Continuous Zero Level Set in Unsigned Distance Fields through Level Set Projectioncited by 36
- 2023NeAT: Learning Neural Implicit Surfaces with Arbitrary Topologies from Multi-view Imagescited by 32
- 2023ISP: Multi-Layered Garment Draping with Implicit Sewing Patternscited by 31
- 2022GeoUDF: Surface Reconstruction from 3D Point Clouds via Geometry-guided Distance Representationcited by 28
12 most cited of 68 All 68 (JSON)
- 2026AnySurf: Any Surface Generation with Directed Edge23 May 2026
- 2026Spatio-Temporal Garment Reconstruction Using Diffusion Mapping via Pattern Coordinates27 Feb 2026
- 2026Learning to Build Shapes by Extrusion30 Jan 2026
- 2025VoroLight: Learning Voronoi Surface Meshes via Sphere Intersection15 Dec 2025
- 2025LaFiTe: A Generative Latent Field for 3D Native Texturing4 Dec 2025
- 2025LoG3D: Ultra-High-Resolution 3D Shape Modeling via Local-to-Global Partitioning13 Nov 2025
- 2025Voronoi-Assisted Optimization for Diffusing Unsigned Distance Fields from Unoriented Points14 Oct 2025
- 2025High Resolution UDF Meshing via Iterative Networks21 Sep 2025
- 2025MIND: Material Interface Generation from UDFs for Non-Manifold Surface Reconstruction3 Jun 2025
- 2025UltraBoneUDF: Self-supervised Bone Surface Reconstruction from Ultrasound Based on Neural Unsigned Distance Functions23 May 2025
- 2025Beyond Static Perception: Integrating Temporal Context into VLMs for Cloth Folding12 May 2025
- 2025Single View Garment Reconstruction Using Diffusion Mapping Via Pattern Coordinates11 Apr 2025
12 newest of 68 All 68 (JSON)