Deep Parametric Shape Predictions using Distance Fields
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Abstract (arXiv)
Many tasks in graphics and vision demand machinery for converting shapes into consistent representations with sparse sets of parameters; these representations facilitate rendering, editing, and storage. When the source data is noisy or ambiguous, however, artists and engineers often manually construct such representations, a tedious and potentially time-consuming process. While advances in deep learning have been successfully applied to noisy geometric data, the task of generating parametric shapes has so far been difficult for these methods. Hence, we propose a new framework for predicting parametric shape primitives using deep learning. We use distance fields to transition between shape parameters like control points and input data on a pixel grid. We demonstrate efficacy on 2D and 3D tasks, including font vectorization and surface abstraction.
Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Apr 2019.
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Citing papers per year: 2021: 13; 2022: 3; 2023: 7; 2024: 4; 2025: 3.
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- 2021Im2Vec: Synthesizing Vector Graphics without Vector Supervisioncited by 114
- 2022Learning to generate line drawings that convey geometry and semanticscited by 82
- 2022Approximate Convex Decomposition for 3D Meshes with Collision-Aware Concavity and Tree Searchcited by 61
- 2021Engineering Sketch Generation for Computer-Aided Designcited by 49
- 2022AniFaceGAN: Animatable 3D-Aware Face Image Generation for Video Avatarscited by 46
- 2021Unsupervised Learning for Cuboid Shape Abstraction via Joint Segmentation from Point Cloudscited by 44
- 2021MarioNette: Self-Supervised Sprite Learningcited by 35
- 2021CPFN: Cascaded Primitive Fitting Networks for High-Resolution Point Cloudscited by 24
- 2024Uni3D-LLM: Unifying Point Cloud Perception, Generation and Editing with Large Language Modelscited by 24
- 2021Learning 3D Dense Correspondence via Canonical Point Autoencodercited by 21
- 2023Marching-Primitives: Shape Abstraction from Signed Distance Functioncited by 18
- 2024NIVeL: Neural Implicit Vector Layers for Text-to-Vector Generationcited by 17
18 more
- 2021DeepVecFont: Synthesizing High-quality Vector Fonts via Dual-modality Learningcited by 14
- 2021DeepCurrents: Learning Implicit Representations of Shapes with Boundariescited by 12
- 2023SENS: Part-Aware Sketch-based Implicit Neural Shape Modelingcited by 8
- 2025PartSDF: Part-Based Implicit Neural Representation for Composite 3D Shape Parametrization and Optimizationcited by 8
- 2021Learning Implicit Glyph Shape Representationcited by 7
- 2023VecFontSDF: Learning to Reconstruct and Synthesize High-quality Vector Fonts via Signed Distance Functionscited by 7
- 2023Convex Decomposition of Indoor Scenescited by 6
- 2021HybridSDF: Combining Deep Implicit Shapes and Geometric Primitives for 3D Shape Representation and Manipulationcited by 5
- 2024SweepNet: Unsupervised Learning Shape Abstraction via Neural Sweeperscited by 5
- 2025Light-SQ: Structure-aware Shape Abstraction with Superquadrics for Generated Meshescited by 5
- 2023DeepCalliFont: Few-shot Chinese Calligraphy Font Synthesis by Integrating Dual-modality Generative Modelscited by 4
- 2021Modeling 3D Surface Manifolds with a Locally Conditioned Atlascited by 3
- 2023Towards Learning Geometric Eigen-Lengths Crucial for Fitting Taskscited by 3
- 2021Fabrication-Aware Reverse Engineering for Carpentrycited by 1
- 2021Font Completion and Manipulation by Cycling Between Multi-Modality Representationscited by 1
- 2023Randomized 3D Scene Generation for Generalizable Self-Supervised Pre-Trainingcited by 0
- 2024Improved Convex Decomposition with Ensembling and Negative Primitivescited by 0
- 2025A 3D Generation Framework from Cross Modality to Parameterized Primitivecited by 0
- 2025A 3D Generation Framework from Cross Modality to Parameterized Primitive9 Oct 2025
- 2025Light-SQ: Structure-aware Shape Abstraction with Superquadrics for Generated Meshes29 Sep 2025
- 2025PartSDF: Part-Based Implicit Neural Representation for Composite 3D Shape Parametrization and Optimization18 Feb 2025
- 2024SweepNet: Unsupervised Learning Shape Abstraction via Neural Sweepers8 Jul 2024
- 2024Improved Convex Decomposition with Ensembling and Negative Primitives29 May 2024
- 2024NIVeL: Neural Implicit Vector Layers for Text-to-Vector Generation24 May 2024
- 2024Uni3D-LLM: Unifying Point Cloud Perception, Generation and Editing with Large Language Models9 Jan 2024
- 2023Towards Learning Geometric Eigen-Lengths Crucial for Fitting Tasks25 Dec 2023
- 2023DeepCalliFont: Few-shot Chinese Calligraphy Font Synthesis by Integrating Dual-modality Generative Models16 Dec 2023
- 2023Convex Decomposition of Indoor Scenes9 Jul 2023
- 2023SENS: Part-Aware Sketch-based Implicit Neural Shape Modeling9 Jun 2023
- 2023Randomized 3D Scene Generation for Generalizable Self-Supervised Pre-Training7 Jun 2023
18 more
- 2023Marching-Primitives: Shape Abstraction from Signed Distance Function23 Mar 2023
- 2023VecFontSDF: Learning to Reconstruct and Synthesize High-quality Vector Fonts via Signed Distance Functions22 Mar 2023
- 2022AniFaceGAN: Animatable 3D-Aware Face Image Generation for Video Avatars12 Oct 2022
- 2022Approximate Convex Decomposition for 3D Meshes with Collision-Aware Concavity and Tree Search5 May 2022
- 2022Learning to generate line drawings that convey geometry and semantics23 Mar 2022
- 2021DeepCurrents: Learning Implicit Representations of Shapes with Boundaries17 Nov 2021
- 2021DeepVecFont: Synthesizing High-quality Vector Fonts via Dual-modality Learning13 Oct 2021
- 2021HybridSDF: Combining Deep Implicit Shapes and Geometric Primitives for 3D Shape Representation and Manipulation22 Sep 2021
- 2021CPFN: Cascaded Primitive Fitting Networks for High-Resolution Point Clouds31 Aug 2021
- 2021Font Completion and Manipulation by Cycling Between Multi-Modality Representations30 Aug 2021
- 2021Fabrication-Aware Reverse Engineering for Carpentry21 Jul 2021
- 2021Learning 3D Dense Correspondence via Canonical Point Autoencoder10 Jul 2021
- 2021Learning Implicit Glyph Shape Representation16 Jun 2021
- 2021Unsupervised Learning for Cuboid Shape Abstraction via Joint Segmentation from Point Clouds7 Jun 2021
- 2021MarioNette: Self-Supervised Sprite Learning29 Apr 2021
- 2021Engineering Sketch Generation for Computer-Aided Design19 Apr 2021
- 2021Modeling 3D Surface Manifolds with a Locally Conditioned Atlas11 Feb 2021
- 2021Im2Vec: Synthesizing Vector Graphics without Vector Supervision4 Feb 2021
- 2021Im2Vec: Synthesizing Vector Graphics without Vector Supervisioncited by 114
- 2022Learning to generate line drawings that convey geometry and semanticscited by 82
- 2022Approximate Convex Decomposition for 3D Meshes with Collision-Aware Concavity and Tree Searchcited by 61
- 2021Engineering Sketch Generation for Computer-Aided Designcited by 49
- 2022AniFaceGAN: Animatable 3D-Aware Face Image Generation for Video Avatarscited by 46
- 2021Unsupervised Learning for Cuboid Shape Abstraction via Joint Segmentation from Point Cloudscited by 44
- 2021MarioNette: Self-Supervised Sprite Learningcited by 35
- 2021CPFN: Cascaded Primitive Fitting Networks for High-Resolution Point Cloudscited by 24
- 2024Uni3D-LLM: Unifying Point Cloud Perception, Generation and Editing with Large Language Modelscited by 24
- 2021Learning 3D Dense Correspondence via Canonical Point Autoencodercited by 21
- 2023Marching-Primitives: Shape Abstraction from Signed Distance Functioncited by 18
- 2021DeepVecFont: Synthesizing High-quality Vector Fonts via Dual-modality Learningcited by 14
12 most cited of 29 All 29 (JSON)
- 2025A 3D Generation Framework from Cross Modality to Parameterized Primitive9 Oct 2025
- 2025Light-SQ: Structure-aware Shape Abstraction with Superquadrics for Generated Meshes29 Sep 2025
- 2025PartSDF: Part-Based Implicit Neural Representation for Composite 3D Shape Parametrization and Optimization18 Feb 2025
- 2024SweepNet: Unsupervised Learning Shape Abstraction via Neural Sweepers8 Jul 2024
- 2024Improved Convex Decomposition with Ensembling and Negative Primitives29 May 2024
- 2024Uni3D-LLM: Unifying Point Cloud Perception, Generation and Editing with Large Language Models9 Jan 2024
- 2023Towards Learning Geometric Eigen-Lengths Crucial for Fitting Tasks25 Dec 2023
- 2023DeepCalliFont: Few-shot Chinese Calligraphy Font Synthesis by Integrating Dual-modality Generative Models16 Dec 2023
- 2023Convex Decomposition of Indoor Scenes9 Jul 2023
- 2023SENS: Part-Aware Sketch-based Implicit Neural Shape Modeling9 Jun 2023
- 2023Randomized 3D Scene Generation for Generalizable Self-Supervised Pre-Training7 Jun 2023
- 2023Marching-Primitives: Shape Abstraction from Signed Distance Function23 Mar 2023
12 newest of 29 All 29 (JSON)