Neural Cages for Detail-Preserving 3D Deformations
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Abstract (arXiv)
We propose a novel learnable representation for detail-preserving shape deformation. The goal of our method is to warp a source shape to match the general structure of a target shape, while preserving the surface details of the source. Our method extends a traditional cage-based deformation technique, where the source shape is enclosed by a coarse control mesh termed cage, and translations prescribed on the cage vertices are interpolated to any point on the source mesh via special weight functions. The use of this sparse cage scaffolding enables preserving surface details regardless of the shape's intricacy and topology. Our key contribution is a novel neural network architecture for predicting deformations by controlling the cage. We incorporate a differentiable cage-based deformation module in our architecture, and train our network end-to-end. Our method can be trained with common collections of 3D models in an unsupervised fashion, without any cage-specific annotations. We demonstrate the utility of our method for synthesizing shape variations and deformation transfer.
Key facts. Cited by 106 papers in the map (data through 14 Oct 2026). First posted on arXiv 13 Dec 2019.
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Citing papers per year: 2021: 15; 2022: 21; 2023: 24; 2024: 18; 2025: 14; 2026: 14.
106 papers.
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- 2021Advances in Neural Renderingcited by 365
- 2023SC-GS: Sparse-Controlled Gaussian Splatting for Editable Dynamic Scenescited by 347
- 2022NeRF-Editing: Geometry Editing of Neural Radiance Fieldscited by 217
- 2021FS-Net: Fast Shape-based Network for Category-Level 6D Object Pose Estimation with Decoupled Rotation Mechanismcited by 121
- 2023Drivable 3D Gaussian Avatarscited by 120
- 2022MagicPony: Learning Articulated 3D Animals in the Wildcited by 112
- 2022Generative Neural Articulated Radiance Fieldscited by 101
- 2023TextDeformer: Geometry Manipulation using Text Guidancecited by 94
- 2022TANGO: Text-driven Photorealistic and Robust 3D Stylization via Lighting Decompositioncited by 83
- 2022Deforming Radiance Fields with Cagescited by 78
- 2024Advances in 3D Generation: A Surveycited by 63
- 2021Geometry-Consistent Neural Shape Representation with Implicit Displacement Fieldscited by 60
38 more
- 20213DStyleNet: Creating 3D Shapes with Geometric and Texture Style Variationscited by 58
- 2021Learning Skeletal Articulations with Neural Blend Shapescited by 53
- 2021KeypointDeformer: Unsupervised 3D Keypoint Discovery for Shape Controlcited by 51
- 2021Joint Learning of 3D Shape Retrieval and Deformationcited by 42
- 2023Controllable Mesh Generation Through Sparse Latent Point Diffusion Modelscited by 41
- 2023NeuralEditor: Editing Neural Radiance Fields via Manipulating Point Cloudscited by 41
- 2021ARAPReg: An As-Rigid-As Possible Regularization Loss for Learning Deformable Shape Generatorscited by 40
- 2021DeepMetaHandles: Learning Deformation Meta-Handles of 3D Meshes with Biharmonic Coordinatescited by 37
- 2022VolTeMorph: Realtime, Controllable and Generalisable Animation of Volumetric Representationscited by 36
- 2023PartNeRF: Generating Part-Aware Editable 3D Shapes without 3D Supervisioncited by 36
- 2024Tailor3D: Customized 3D Assets Editing and Generation with Dual-Side Imagescited by 35
- 2022Neural Template: Topology-aware Reconstruction and Disentangled Generation of 3D Meshescited by 34
- 20213D Pose Transfer with Correspondence Learning and Mesh Refinementcited by 30
- 2022SPAGHETTI: Editing Implicit Shapes Through Part Aware Generationcited by 28
- 2022Neural Jacobian Fields: Learning Intrinsic Mappings of Arbitrary Meshescited by 28
- 2024Mesh-based Gaussian Splatting for Real-time Large-scale Deformationcited by 28
- 2023CADSim: Robust and Scalable in-the-wild 3D Reconstruction for Controllable Sensor Simulationcited by 26
- 2024Garment3DGen: 3D Garment Stylization and Texture Generationcited by 26
- 2023As-Plausible-As-Possible: Plausibility-Aware Mesh Deformation Using 2D Diffusion Priorscited by 25
- 2022Learning Whole Heart Mesh Generation From Patient Images For Computational Simulationscited by 21
- 2022Unsupervised 3D Pose Transfer with Cross Consistency and Dual Reconstructioncited by 21
- 2022SPARC: Sparse Render-and-Compare for CAD model alignment in a single RGB imagecited by 19
- 2023NCP: Neural Correspondence Prior for Effective Unsupervised Shape Matchingcited by 18
- 2022SPIDR: SDF-based Neural Point Fields for Illumination and Deformationcited by 17
- 2024MeshUp: Multi-Target Mesh Deformation via Blended Score Distillationcited by 17
- 2021GLASS: Geometric Latent Augmentation for Shape Spacescited by 16
- 2023TapMo: Shape-aware Motion Generation of Skeleton-free Characterscited by 16
- 2024CT4D: Consistent Text-to-4D Generation with Animatable Meshescited by 14
- 2025Geometry in Style: 3D Stylization via Surface Normal Deformationcited by 14
- 20254D-LRM: Large Space-Time Reconstruction Model From and To Any View at Any Timecited by 14
- 2023Zero-shot Pose Transfer for Unrigged Stylized 3D Characterscited by 13
- 2025Edit360: 2D Image Edits to 3D Assets from Any Anglecited by 13
- 2023Weakly-supervised 3D Pose Transfer with Keypointscited by 12
- 2023U-RED: Unsupervised 3D Shape Retrieval and Deformation for Partial Point Cloudscited by 12
- 2022Towards Self-Supervised Category-Level Object Pose and Size Estimationcited by 11
- 2024HeadEvolver: Text to Head Avatars via Expressive and Attribute-Preserving Mesh Deformationcited by 11
- 2022Neural Vector Fields for Implicit Surface Representation and Inferencecited by 10
- 2023DPF-Net: Combining Explicit Shape Priors in Deformable Primitive Field for Unsupervised Structural Reconstruction of 3D Objectscited by 10
50 most cited of 106 All 106 (JSON)
- 2026Cepheid: Decoupling Scale from Structure for Cross-Family Motion Completion13 Oct 2026
- 2026OptimusMesh: Compact Autoregressive Mesh Generation from Point Clouds via Sparse Latent Pivots1 Oct 2026
- 2026P-CORE: Self-Supervised Surface Consistency for Point-Based Neural Editing3 Sep 2026
- 2026As-Rigid-As-Possible Regularization for Implicit Surfaces16 Aug 2026
- 2026Intrinsic and Triangulation-Agnostic Attention: A Simple and Powerful Approach for Learning on Meshes27 Jul 2026
- 2026CNS-Edit++: Category-Agnostic 3D Editing with Coupled Neural Shape Representation18 Jul 2026
- 2026PoseAlign: Sculpting Pose-Consistent Meshes via Text-Guided Deformation12 Jul 2026
- 2026NeuROK: Generative 4D Neural Object Kinematics28 May 2026
- 2026Geometry-Guided Modeling of Foundation Features Enables Generalizable Object Shape Deformation Learning28 May 2026
- 2026Category-Level 3D Correspondence in Camera Space via Morphable Object Priors27 May 2026
- 2026Fishbone: From One 3D Asset to a Million Controllable Edits24 May 2026
- 2026FrameTwin: Curve-Anchored Gaussian Alignment from Sparse Views for Adaptive Wireframe 3D Printing10 May 2026
38 more
- 2026SkeletonGaussian: Editable 4D Generation through Gaussian Skeletonization4 Feb 2026
- 2026Deep Feature Deformation Weights18 Jan 2026
- 2025MimiCAT: Mimic with Correspondence-Aware Cascade-Transformer for Category-Free 3D Pose Transfer23 Nov 2025
- 2025HEIR: Learning Graph-Based Motion Hierarchies30 Oct 2025
- 2025Advances in 4D Representation: Geometry, Motion, and Interaction22 Oct 2025
- 2025PoissonNet: A Local-Global Approach for Learning on Surfaces15 Oct 2025
- 2025Category-Aware 3D Object Composition with Disentangled Texture and Shape Multi-view Diffusion2 Sep 2025
- 2025ScanMove: Motion Prediction and Transfer for Unregistered Body Meshes27 Aug 2025
- 20254D-LRM: Large Space-Time Reconstruction Model From and To Any View at Any Time23 Jun 2025
- 2025Edit360: 2D Image Edits to 3D Assets from Any Angle12 Jun 2025
- 2025Handle-based Mesh Deformation Guided By Vision Language Model5 Jun 2025
- 2025Category-Agnostic Neural Object Rigging26 May 2025
- 2025CAGE-GS: High-fidelity Cage Based 3D Gaussian Splatting Deformation17 Apr 2025
- 2025SMF: Template-free and Rig-free Animation Transfer using Kinetic Codes7 Apr 2025
- 2025Geometry in Style: 3D Stylization via Surface Normal Deformation29 Mar 2025
- 2025Relational Anatomical Supervision for Accurate 3D Multi-Chamber Cardiac Mesh Reconstruction10 Mar 2025
- 2024CRAFT: Designing Creative and Functional 3D Objects5 Dec 2024
- 2024CLIPtortionist: Zero-shot Text-driven Deformation for Manufactured 3D Shapes19 Oct 2024
- 2024MeshUp: Multi-Target Mesh Deformation via Blended Score Distillation27 Aug 2024
- 20243D-Consistent Human Avatars with Sparse Inputs via Gaussian Splatting and Contrastive Learning19 Aug 2024
- 2024CT4D: Consistent Text-to-4D Generation with Animatable Meshes15 Aug 2024
- 2024Temporal Residual Jacobians For Rig-free Motion Transfer20 Jul 2024
- 2024Towards High-Quality 3D Motion Transfer with Realistic Apparel Animation15 Jul 2024
- 2024Tailor3D: Customized 3D Assets Editing and Generation with Dual-Side Images8 Jul 2024
- 2024TutteNet: Injective 3D Deformations by Composition of 2D Mesh Deformations17 Jun 2024
- 2024Neural Pose Representation Learning for Generating and Transferring Non-Rigid Object Poses14 Jun 2024
- 2024GSDeformer: Direct, Real-time and Extensible Cage-based Deformation for 3D Gaussian Splatting24 May 2024
- 2024Garment3DGen: 3D Garment Stylization and Texture Generation27 Mar 2024
- 2024LeGO: Leveraging a Surface Deformation Network for Animatable Stylized Face Generation with One Example22 Mar 2024
- 2024KP-RED: Exploiting Semantic Keypoints for Joint 3D Shape Retrieval and Deformation15 Mar 2024
- 2024HeadEvolver: Text to Head Avatars via Expressive and Attribute-Preserving Mesh Deformation14 Mar 2024
- 2024Mesh-based Gaussian Splatting for Real-time Large-scale Deformation7 Feb 2024
- 2024CNS-Edit: 3D Shape Editing via Coupled Neural Shape Optimization4 Feb 2024
- 2024Advances in 3D Generation: A Survey31 Jan 2024
- 2023SC-GS: Sparse-Controlled Gaussian Splatting for Editable Dynamic Scenes4 Dec 2023
- 2023As-Plausible-As-Possible: Plausibility-Aware Mesh Deformation Using 2D Diffusion Priors28 Nov 2023
- 2023ShapeMatcher: Self-Supervised Joint Shape Canonicalization, Segmentation, Retrieval and Deformation18 Nov 2023
- 2023Drivable 3D Gaussian Avatars14 Nov 2023
50 newest of 106 All 106 (JSON)
- 2023Controllable Mesh Generation Through Sparse Latent Point Diffusion Modelscited by 41
- 2023As-Plausible-As-Possible: Plausibility-Aware Mesh Deformation Using 2D Diffusion Priorscited by 25
- 2024CT4D: Consistent Text-to-4D Generation with Animatable Meshescited by 14
- 2025Edit360: 2D Image Edits to 3D Assets from Any Anglecited by 13
- 2023DragD3D: Realistic Mesh Editing with Rigidity Control Driven by 2D Diffusion Priorscited by 3
- 2025Edit360: 2D Image Edits to 3D Assets from Any Angle12 Jun 2025
- 2024CT4D: Consistent Text-to-4D Generation with Animatable Meshes15 Aug 2024
- 2023As-Plausible-As-Possible: Plausibility-Aware Mesh Deformation Using 2D Diffusion Priors28 Nov 2023
- 2023DragD3D: Realistic Mesh Editing with Rigidity Control Driven by 2D Diffusion Priors6 Oct 2023
- 2023Controllable Mesh Generation Through Sparse Latent Point Diffusion Models14 Mar 2023
- 2021Advances in Neural Renderingcited by 365
- 2023SC-GS: Sparse-Controlled Gaussian Splatting for Editable Dynamic Scenescited by 347
- 2022NeRF-Editing: Geometry Editing of Neural Radiance Fieldscited by 217
- 2021FS-Net: Fast Shape-based Network for Category-Level 6D Object Pose Estimation with Decoupled Rotation Mechanismcited by 121
- 2023Drivable 3D Gaussian Avatarscited by 120
- 2022MagicPony: Learning Articulated 3D Animals in the Wildcited by 112
- 2022Generative Neural Articulated Radiance Fieldscited by 101
- 2023TextDeformer: Geometry Manipulation using Text Guidancecited by 94
- 2022TANGO: Text-driven Photorealistic and Robust 3D Stylization via Lighting Decompositioncited by 83
- 2022Deforming Radiance Fields with Cagescited by 78
- 2024Advances in 3D Generation: A Surveycited by 63
- 2021Geometry-Consistent Neural Shape Representation with Implicit Displacement Fieldscited by 60
12 most cited of 100 All 100 (JSON)
- 2026Cepheid: Decoupling Scale from Structure for Cross-Family Motion Completion13 Oct 2026
- 2026OptimusMesh: Compact Autoregressive Mesh Generation from Point Clouds via Sparse Latent Pivots1 Oct 2026
- 2026P-CORE: Self-Supervised Surface Consistency for Point-Based Neural Editing3 Sep 2026
- 2026As-Rigid-As-Possible Regularization for Implicit Surfaces16 Aug 2026
- 2026Intrinsic and Triangulation-Agnostic Attention: A Simple and Powerful Approach for Learning on Meshes27 Jul 2026
- 2026CNS-Edit++: Category-Agnostic 3D Editing with Coupled Neural Shape Representation18 Jul 2026
- 2026PoseAlign: Sculpting Pose-Consistent Meshes via Text-Guided Deformation12 Jul 2026
- 2026NeuROK: Generative 4D Neural Object Kinematics28 May 2026
- 2026Geometry-Guided Modeling of Foundation Features Enables Generalizable Object Shape Deformation Learning28 May 2026
- 2026Category-Level 3D Correspondence in Camera Space via Morphable Object Priors27 May 2026
- 2026Fishbone: From One 3D Asset to a Million Controllable Edits24 May 2026
- 2026FrameTwin: Curve-Anchored Gaussian Alignment from Sparse Views for Adaptive Wireframe 3D Printing10 May 2026
12 newest of 100 All 100 (JSON)