3D-CODED : 3D Correspondences by Deep Deformation
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Abstract (arXiv)
We present a new deep learning approach for matching deformable shapes by introducing it Shape Deformation Networks which jointly encode 3D shapes and correspondences. This is achieved by factoring the surface representation into (i) a template, that parameterizes the surface, and (ii) a learnt global feature vector that parameterizes the transformation of the template into the input surface. By predicting this feature for a new shape, we implicitly predict correspondences between this shape and the template. We show that these correspondences can be improved by an additional step which improves the shape feature by minimizing the Chamfer distance between the input and transformed template. We demonstrate that our simple approach improves on state-of-the-art results on the difficult FAUST-inter challenge, with an average correspondence error of 2.88cm. We show, on the TOSCA dataset, that our method is robust to many types of perturbations, and generalizes to non-human shapes. This robustness allows it to perform well on real unclean, meshes from the the SCAPE dataset.
Key facts. Cited by 160 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Jun 2018.
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Citing papers per year: 2021: 41; 2022: 30; 2023: 36; 2024: 23; 2025: 18; 2026: 12.
160 papers.
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- 2021Neural Fields in Visual Computing and Beyondcited by 539
- 2022POCO: Point Convolution for Surface Reconstructioncited by 91
- 2021The Power of Points for Modeling Humans in Clothingcited by 90
- 2021NPMs: Neural Parametric Models for 3D Deformable Shapescited by 89
- 2021Lepard: Learning partial point cloud matching in rigid and deformable scenescited by 85
- 2021NeuroMorph: Unsupervised Shape Interpolation and Correspondence in One Gocited by 81
- 2021SCALE: Modeling Clothed Humans with a Surface Codec of Articulated Local Elementscited by 72
- 2021Subdivision-Based Mesh Convolution Networkscited by 60
- 2022A Survey of Non-Rigid 3D Registrationcited by 59
- 2023Unsupervised Learning of Robust Spectral Shape Matchingcited by 57
- 2023Diffusion 3D Features (Diff3F): Decorating Untextured Shapes with Distilled Semantic Featurescited by 55
- 2021Shape registration in the time of transformerscited by 51
38 more
- 2021Locally Aware Piecewise Transformation Fields for 3D Human Mesh Registrationcited by 41
- 2021ARAPReg: An As-Rigid-As Possible Regularization Loss for Learning Deformable Shape Generatorscited by 40
- 2022Unsupervised Deep Multi-Shape Matchingcited by 39
- 2022Learned Vertex Descent: A New Direction for 3D Human Model Fittingcited by 37
- 2023Dynamic Point Fieldscited by 37
- 2021DeepMetaHandles: Learning Deformation Meta-Handles of 3D Meshes with Biharmonic Coordinatescited by 36
- 2022Deep Orientation-Aware Functional Maps: Tackling Symmetry Issues in Shape Matchingcited by 36
- 2022Learning Multi-resolution Functional Maps with Spectral Attention for Robust Shape Matchingcited by 35
- 2021Multiway Non-rigid Point Cloud Registration via Learned Functional Map Synchronizationcited by 30
- 2023Spatially and Spectrally Consistent Deep Functional Mapscited by 30
- 2022Skeleton-free Pose Transfer for Stylized 3D Characterscited by 29
- 2022Neural Jacobian Fields: Learning Intrinsic Mappings of Arbitrary Meshescited by 28
- 2022CATRE: Iterative Point Clouds Alignment for Category-level Object Pose Refinementcited by 28
- 2022SCOOP: Self-Supervised Correspondence and Optimization-Based Scene Flowcited by 28
- 2024Spectral Meets Spatial: Harmonising 3D Shape Matching and Interpolationcited by 26
- 2022Bending Graphs: Hierarchical Shape Matching using Gated Optimal Transportcited by 24
- 2022ACID: Action-Conditional Implicit Visual Dynamics for Deformable Object Manipulationcited by 24
- 2023Self-Supervised Learning for Multimodal Non-Rigid 3D Shape Matchingcited by 23
- 2024InterTrack: Tracking Human Object Interaction without Object Templatescited by 22
- 2021Learning 3D Dense Correspondence via Canonical Point Autoencodercited by 21
- 2023CloSET: Modeling Clothed Humans on Continuous Surface with Explicit Template Decompositioncited by 21
- 2023NICP: Neural ICP for 3D Human Registration at Scalecited by 21
- 2021Intrinsic-Extrinsic Preserved GANs for Unsupervised 3D Pose Transfercited by 20
- 2023Understanding and Improving Features Learned in Deep Functional Mapscited by 20
- 2021Augmenting Implicit Neural Shape Representations with Explicit Deformation Fieldscited by 19
- 2023SE-ORNet: Self-Ensembling Orientation-aware Network for Unsupervised Point Cloud Shape Correspondencecited by 19
- 2021VoteHMR: Occlusion-Aware Voting Network for Robust 3D Human Mesh Recovery from Partial Point Cloudscited by 18
- 2023MoSAR: Monocular Semi-Supervised Model for Avatar Reconstruction using Differentiable Shadingcited by 18
- 2021GLASS: Geometric Latent Augmentation for Shape Spacescited by 16
- 2021NeeDrop: Self-supervised Shape Representation from Sparse Point Clouds using Needle Droppingcited by 16
- 2021Field Convolutions for Surface CNNscited by 14
- 2023Deep Graph-based Spatial Consistency for Robust Non-rigid Point Cloud Registrationcited by 14
- 2023Generalizing Neural Human Fitting to Unseen Poses With Articulated SE(3) Equivariancecited by 14
- 2024Memory-Scalable and Simplified Functional Map Learningcited by 14
- 2025Denoising Functional Maps: Diffusion Models for Shape Correspondencecited by 14
- 2025Hierarchical Neural Semantic Representation for 3D Semantic Correspondencecited by 14
- 2021ResNet-LDDMM: Advancing the LDDMM Framework using Deep Residual Networkscited by 13
- 2022Implicit field supervision for robust non-rigid shape matchingcited by 13
50 most cited of 160 All 160 (JSON)
- 2026TokenMatch: 3D Mesh Correspondence Transformer with Curvature-Guided Tokenisation3 Sep 2026
- 2026Ordered Diffusion for 3D Human Registration6 Aug 2026
- 2026GenSP: Consistent Spherical Parameterization via Learning Shape Generative Models1 Jul 2026
- 2026Hyper-Network Neural Functional Maps for Unsupervised Robust 3D Shape Matching29 Jun 2026
- 2026Geometry-Grounded Articulation and Test-Time Adaptation for Zero-Shot, Scalable Shape Matching in the Wild28 Jun 2026
- 2026MeshLoom: Feed-Forward Non-Rigid Registration of Mesh Sequences15 Jun 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
- 2026PQDT: Pseudo-Query Dual Transformer for Robust Point Cloud Restoration24 May 2026
- 2026SGSoft: Learning Fused Semantic-Geometric Features for 3D Shape Correspondence via Template-Guided Soft Signals18 May 2026
- 2026Deformation-based In-Context Learning for Point Cloud Understanding3 Apr 2026
- 2026SGMatch: Semantic-Guided Non-Rigid Shape Matching with Flow Regularization13 Mar 2026
38 more
- 2025LiteGE: Lightweight Geodesic Embedding for Efficient Geodesics Computation and Non-Isometric Shape Correspondence19 Dec 2025
- 2025FUSE: A Flow-based Mapping Between Shapes17 Nov 2025
- 2025Hierarchical Neural Semantic Representation for 3D Semantic Correspondence22 Sep 2025
- 2025Matching Shapes Under Different Topologies: A Topology-Adaptive Deformation Guided Approach8 Sep 2025
- 2025PAOLI: Pose-free Articulated Object Learning from Sparse-view Images4 Sep 2025
- 2025ScanMove: Motion Prediction and Transfer for Unregistered Body Meshes27 Aug 2025
- 20253D Human Mesh Estimation from Single View RGBD11 Aug 2025
- 2025Symmetry Understanding of 3D Shapes via Chirality Disentanglement7 Aug 2025
- 2025DiffuMatch: Category-Agnostic Spectral Diffusion Priors for Robust Non-rigid Shape Matching31 Jul 2025
- 2025NFR: Neural Feature-Guided Non-Rigid Shape Registration28 May 2025
- 2025Neural Face Skinning for Mesh-agnostic Facial Expression Cloning28 May 2025
- 2025Disentangled Human Body Representation Based on Unsupervised Semantic-Aware Learning25 May 2025
- 2025Fast Globally Optimal and Geometrically Consistent 3D Shape Matching8 Apr 2025
- 2025Surface-Aware Distilled 3D Semantic Features24 Mar 2025
- 2025ASMR: Adaptive Skeleton-Mesh Rigging and Skinning via 2D Generative Prior17 Mar 2025
- 2025SAS: Segment Any 3D Scene with Integrated 2D Priors11 Mar 2025
- 2025HybridReg: Robust 3D Point Cloud Registration with Hybrid Motions10 Mar 2025
- 2025Denoising Functional Maps: Diffusion Models for Shape Correspondence3 Mar 2025
- 2024Revisiting Lesion Tracking in 3D Total Body Photography10 Dec 2024
- 2024PaNDaS: Learnable Deformation Modeling with Localized Control3 Dec 2024
- 2024ReMP: Reusable Motion Prior for Multi-domain 3D Human Pose Estimation and Motion Inbetweening13 Nov 2024
- 2024Self Supervised Networks for Learning Latent Space Representations of Human Body Scans and Motions5 Nov 2024
- 2024DiffSurf: A Transformer-based Diffusion Model for Generating and Reconstructing 3D Surfaces in Pose27 Aug 2024
- 2024InterTrack: Tracking Human Object Interaction without Object Templates25 Aug 2024
- 2024DV-Matcher: Deformation-based Non-Rigid Point Cloud Matching Guided by Pre-trained Visual Features16 Aug 2024
- 2024Synchronous Diffusion for Unsupervised Smooth Non-Rigid 3D Shape Matching11 Jul 2024
- 2024TutteNet: Injective 3D Deformations by Composition of 2D Mesh Deformations17 Jun 2024
- 2024CanFields: Consolidating Diffeomorphic Flows for Non-Rigid 4D Interpolation from Arbitrary-Length Sequences5 Jun 2024
- 2024Degrees of Freedom Matter: Inferring Dynamics from Point Trajectories5 Jun 2024
- 2024DifAttack++: Query-Efficient Black-Box Adversarial Attack via Hierarchical Disentangled Feature Space in Cross-Domain5 Jun 2024
- 2024SPARE: Symmetrized Point-to-Plane Distance for Robust Non-Rigid 3D Registration30 May 2024
- 2024NeuroGauss4D-PCI: 4D Neural Fields and Gaussian Deformation Fields for Point Cloud Interpolation23 May 2024
- 2024Reconstruction of Manipulated Garment with Guided Deformation Prior17 May 2024
- 2024Towards Robust 3D Pose Transfer with Adversarial Learning2 Apr 2024
- 2024Equivariant Local Reference Frames for Unsupervised Non-rigid Point Cloud Shape Correspondence1 Apr 2024
- 2024Memory-Scalable and Simplified Functional Map Learning30 Mar 2024
- 2024Unsupervised Template-assisted Point Cloud Shape Correspondence Network25 Mar 2024
- 2024Shape Non-rigid Kinematics (SNK): A Zero-Shot Method for Non-Rigid Shape Matching via Unsupervised Functional Map Regularized Reconstruction11 Mar 2024
50 newest of 160 All 160 (JSON)
- 2025Denoising Functional Maps: Diffusion Models for Shape Correspondencecited by 14
- 2025DiffuMatch: Category-Agnostic Spectral Diffusion Priors for Robust Non-rigid Shape Matchingcited by 10
- 2023Diffusion Shape Prior for Wrinkle-Accurate Cloth Registrationcited by 7
- 2024DiffSurf: A Transformer-based Diffusion Model for Generating and Reconstructing 3D Surfaces in Posecited by 2
- 2025FUSE: A Flow-based Mapping Between Shapescited by 2
- 2025FUSE: A Flow-based Mapping Between Shapes17 Nov 2025
- 2025DiffuMatch: Category-Agnostic Spectral Diffusion Priors for Robust Non-rigid Shape Matching31 Jul 2025
- 2025Denoising Functional Maps: Diffusion Models for Shape Correspondence3 Mar 2025
- 2024DiffSurf: A Transformer-based Diffusion Model for Generating and Reconstructing 3D Surfaces in Pose27 Aug 2024
- 2023Diffusion Shape Prior for Wrinkle-Accurate Cloth Registration10 Nov 2023
- 2021Neural Fields in Visual Computing and Beyondcited by 539
- 2022POCO: Point Convolution for Surface Reconstructioncited by 91
- 2021The Power of Points for Modeling Humans in Clothingcited by 90
- 2021NPMs: Neural Parametric Models for 3D Deformable Shapescited by 89
- 2021Lepard: Learning partial point cloud matching in rigid and deformable scenescited by 85
- 2021NeuroMorph: Unsupervised Shape Interpolation and Correspondence in One Gocited by 81
- 2021SCALE: Modeling Clothed Humans with a Surface Codec of Articulated Local Elementscited by 72
- 2021Subdivision-Based Mesh Convolution Networkscited by 60
- 2022A Survey of Non-Rigid 3D Registrationcited by 59
- 2023Unsupervised Learning of Robust Spectral Shape Matchingcited by 57
- 2023Diffusion 3D Features (Diff3F): Decorating Untextured Shapes with Distilled Semantic Featurescited by 55
- 2021Shape registration in the time of transformerscited by 51
12 most cited of 155 All 155 (JSON)
- 2026TokenMatch: 3D Mesh Correspondence Transformer with Curvature-Guided Tokenisation3 Sep 2026
- 2026Ordered Diffusion for 3D Human Registration6 Aug 2026
- 2026GenSP: Consistent Spherical Parameterization via Learning Shape Generative Models1 Jul 2026
- 2026Hyper-Network Neural Functional Maps for Unsupervised Robust 3D Shape Matching29 Jun 2026
- 2026Geometry-Grounded Articulation and Test-Time Adaptation for Zero-Shot, Scalable Shape Matching in the Wild28 Jun 2026
- 2026MeshLoom: Feed-Forward Non-Rigid Registration of Mesh Sequences15 Jun 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
- 2026PQDT: Pseudo-Query Dual Transformer for Robust Point Cloud Restoration24 May 2026
- 2026SGSoft: Learning Fused Semantic-Geometric Features for 3D Shape Correspondence via Template-Guided Soft Signals18 May 2026
- 2026Deformation-based In-Context Learning for Point Cloud Understanding3 Apr 2026
- 2026SGMatch: Semantic-Guided Non-Rigid Shape Matching with Flow Regularization13 Mar 2026
12 newest of 155 All 155 (JSON)