Leveraging SE(3) Equivariance for Self-Supervised Category-Level Object Pose Estimation
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Abstract (arXiv)
Category-level object pose estimation aims to find 6D object poses of previously unseen object instances from known categories without access to object CAD models. To reduce the huge amount of pose annotations needed for category-level learning, we propose for the first time a self-supervised learning framework to estimate category-level 6D object pose from single 3D point clouds.During training, our method assumes no ground-truth pose annotations, no CAD models, and no multi-view supervision. The key to our method is to disentangle shape and pose through an invariant shape reconstruction module and an equivariant pose estimation module, empowered by SE(3) equivariant point cloud networks.The invariant shape reconstruction module learns to perform aligned reconstructions, yielding a category-level reference frame without using any annotations. In addition, the equivariant pose estimation module achieves category-level pose estimation accuracy that is comparable to some fully supervised methods. Extensive experiments demonstrate the effectiveness of our approach on both complete and partial depth point clouds from the ModelNet40 benchmark, and on real depth point clouds from the NOCS-REAL 275 dataset. The project page with code and visualizations can be found at: https://dragonlong.github.io/equi-pose.
Key facts. Cited by 45 papers in the map (data through 14 Oct 2026). Builds on 22 of its 27 references that are in the map. First posted on arXiv 30 Oct 2021.
Builds on
22 of 27 references.
References · 22
- 2016PointNet: Deep Learning on Point Sets for 3D Classification and Segmentationcited by 5,248
- 2015ShapeNet: An Information-Rich 3D Model Repositorycited by 2,897
- 2019KPConv: Flexible and Deformable Convolution for Point Cloudscited by 1,205
- 2016A Point Set Generation Network for 3D Object Reconstruction from a Single Imagecited by 979
- 2017PoseCNN: A Convolutional Neural Network for 6D Object Pose Estimation in Cluttered Scenescited by 775
- 2018Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point cloudscited by 746
- 2020SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networkscited by 607
- 2019Normalized Object Coordinate Space for Category-Level 6D Object Pose and Size Estimationcited by 495
- 2021Vector Neurons: A General Framework for SO(3)-Equivariant Networkscited by 305
- 2020Shape Prior Deformation for Categorical 6D Object Pose and Size Estimationcited by 161
- 2019Category-Level Articulated Object Pose Estimationcited by 159
- 2020Learning Canonical Shape Space for Category-Level 6D Object Pose and Size Estimationcited by 124
10 more
- 2020Category Level Object Pose Estimation via Neural Analysis-by-Synthesiscited by 100
- 2018Unsupervised Learning of Shape and Pose with Differentiable Point Cloudscited by 89
- 2021Equivariant Point Network for 3D Point Cloud Analysiscited by 81
- 2020Self6D: Self-Supervised Monocular 6D Object Pose Estimationcited by 79
- 20196-PACK: Category-level 6D Pose Tracker with Anchor-Based Keypointscited by 78
- 2019Effective Rotation-invariant Point CNN with Spherical Harmonics kernelscited by 57
- 2018Multi-view Consistency as Supervisory Signal for Learning Shape and Pose Predictioncited by 52
- 2019Quaternion Equivariant Capsule Networks for 3D Point Cloudscited by 41
- 2018Pointwise Rotation-Invariant Network with Adaptive Sampling and 3D Spherical Voxel Convolutioncited by 16
- 2018Domain Transfer for 3D Pose Estimation from Color Images without Manual Annotationscited by 12
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Citing papers per year: 2021: 1; 2022: 13; 2023: 17; 2024: 7; 2025: 5; 2026: 2.
45 papers.
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- 2023BundleSDF: Neural 6-DoF Tracking and 3D Reconstruction of Unknown Objectscited by 148
- 2022Zero-Shot Category-Level Object Pose Estimationcited by 57
- 2022Equivariant Descriptor Fields: SE(3)-Equivariant Energy-Based Models for End-to-End Visual Robotic Manipulation Learningcited by 56
- 2024Deep Learning-Based Object Pose Estimation: A Comprehensive Surveycited by 40
- 2023OPDMulti: Openable Part Detection for Multiple Objectscited by 39
- 2023Leveraging SE(3) Equivariance for Learning 3D Geometric Shape Assemblycited by 28
- 2022USEEK: Unsupervised SE(3)-Equivariant 3D Keypoints for Generalizable Manipulationcited by 27
- 2023Self-Supervised Category-Level Articulated Object Pose Estimation with Part-Level SE(3) Equivariancecited by 26
- 2021UDA-COPE: Unsupervised Domain Adaptation for Category-level Object Pose Estimationcited by 25
- 2022Rotationally Equivariant 3D Object Detectioncited by 21
- 2023A General Theory of Correct, Incorrect, and Extrinsic Equivariancecited by 19
- 2023Banana: Banach Fixed-Point Network for Pointcloud Segmentation with Inter-Part Equivariancecited by 19
33 more
- 2022StereoPose: Category-Level 6D Transparent Object Pose Estimation from Stereo Images via Back-View NOCScited by 18
- 2023EFEM: Equivariant Neural Field Expectation Maximization for 3D Object Segmentation Without Scene Supervisioncited by 18
- 2022Shape-Pose Disentanglement using SE(3)-equivariant Vector Neuronscited by 16
- 2023Generalizing Neural Human Fitting to Unseen Poses With Articulated SE(3) Equivariancecited by 14
- 2023SOCS: Semantically-aware Object Coordinate Space for Category-Level 6D Object Pose Estimation under Large Shape Variationscited by 13
- 2022Certifiable 3D Object Pose Estimation: Foundations, Learning Models, and Self-Trainingcited by 12
- 2024UNOPose: Unseen Object Pose Estimation with an Unposed RGB-D Reference Imagecited by 12
- 2022Towards Self-Supervised Category-Level Object Pose and Size Estimationcited by 11
- 2024OP-Align: Object-level and Part-level Alignment for Self-supervised Category-level Articulated Object Pose Estimationcited by 8
- 2022Optimal and Robust Category-level Perception: Object Pose and Shape Estimation from 2D and 3D Semantic Keypointscited by 7
- 2023Multi-body SE(3) Equivariance for Unsupervised Rigid Segmentation and Motion Estimationcited by 7
- 2023A Correct-and-Certify Approach to Self-Supervise Object Pose Estimators via Ensemble Self-Trainingcited by 6
- 2025PRISM-DP: Spatial Pose-based Observations for Diffusion-Policies via Segmentation, Mesh Generation, and Pose Trackingcited by 5
- 2022PCRP: Unsupervised Point Cloud Object Retrieval and Pose Estimationcited by 4
- 2022SO(3)-Pose: SO(3)-Equivariance Learning for 6D Object Pose Estimationcited by 4
- 2024Approximately Piecewise E(3) Equivariant Point Networkscited by 4
- 2022Category-Level Global Camera Pose Estimation with Multi-Hypothesis Point Cloud Correspondencescited by 3
- 2023S3I-PointHop: SO(3)-Invariant PointHop for 3D Point Cloud Classificationcited by 3
- 2023Stable and Consistent Prediction of 3D Characteristic Orientation via Invariant Residual Learningcited by 3
- 2022ObPose: Leveraging Pose for Object-Centric Scene Inference and Generation in 3Dcited by 2
- 2023RGB-D-Based Categorical Object Pose and Shape Estimation: Methods, Datasets, and Evaluationcited by 2
- 2023General Rotation Invariance Learning for Point Clouds via Weight-Feature Alignmentcited by 2
- 20233D Surface Reconstruction in the Wild by Deforming Shape Priors from Synthetic Datacited by 2
- 2023Grasp Transfer based on Self-Aligning Implicit Representations of Local Surfacescited by 2
- 2024Category-Agnostic Pose Estimation for Point Cloudscited by 2
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learningcited by 2
- 2025Learning Generalizable Shape Completion with SIM(3) Equivariancecited by 2
- 2024Diffusion-Driven Self-Supervised Learning for Shape Reconstruction and Pose Estimationcited by 1
- 2025Towards Foundation Models for Cryo-ET Subtomogram Analysiscited by 0
- 2025Exploring Category-level Articulated Object Pose Tracking on SE(3) Manifoldscited by 0
- 2025Equivariant symmetry-aware head pose estimation for fetal MRIcited by 0
- 2026Learning Cross-View Semantic Priors for Single-Reference Unseen Object Pose Estimationcited by 0
- 2026Emergence of a Shared Canonical Object Frame from In-the-Wild Videoscited by 0
- 2026Emergence of a Shared Canonical Object Frame from In-the-Wild Videos29 Jun 2026
- 2026Learning Cross-View Semantic Priors for Single-Reference Unseen Object Pose Estimation20 Jun 2026
- 2025Equivariant symmetry-aware head pose estimation for fetal MRI4 Dec 2025
- 2025Exploring Category-level Articulated Object Pose Tracking on SE(3) Manifolds8 Nov 2025
- 2025Learning Generalizable Shape Completion with SIM(3) Equivariance30 Sep 2025
- 2025Towards Foundation Models for Cryo-ET Subtomogram Analysis29 Sep 2025
- 2025PRISM-DP: Spatial Pose-based Observations for Diffusion-Policies via Segmentation, Mesh Generation, and Pose Tracking29 Apr 2025
- 2024UNOPose: Unseen Object Pose Estimation with an Unposed RGB-D Reference Image25 Nov 2024
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning11 Sep 2024
- 2024OP-Align: Object-level and Part-level Alignment for Self-supervised Category-level Articulated Object Pose Estimation29 Aug 2024
- 2024Deep Learning-Based Object Pose Estimation: A Comprehensive Survey13 May 2024
- 2024Diffusion-Driven Self-Supervised Learning for Shape Reconstruction and Pose Estimation19 Mar 2024
33 more
- 2024Category-Agnostic Pose Estimation for Point Clouds12 Mar 2024
- 2024Approximately Piecewise E(3) Equivariant Point Networks13 Feb 2024
- 2023Leveraging SE(3) Equivariance for Learning 3D Geometric Shape Assembly13 Sep 2023
- 2023Grasp Transfer based on Self-Aligning Implicit Representations of Local Surfaces15 Aug 2023
- 2023Stable and Consistent Prediction of 3D Characteristic Orientation via Invariant Residual Learning20 Jun 2023
- 2023Multi-body SE(3) Equivariance for Unsupervised Rigid Segmentation and Motion Estimation8 Jun 2023
- 2023Banana: Banach Fixed-Point Network for Pointcloud Segmentation with Inter-Part Equivariance25 May 2023
- 2023Generalizing Neural Human Fitting to Unseen Poses With Articulated SE(3) Equivariance20 Apr 2023
- 2023EFEM: Equivariant Neural Field Expectation Maximization for 3D Object Segmentation Without Scene Supervision27 Mar 2023
- 2023BundleSDF: Neural 6-DoF Tracking and 3D Reconstruction of Unknown Objects24 Mar 2023
- 2023OPDMulti: Openable Part Detection for Multiple Objects24 Mar 2023
- 2023SOCS: Semantically-aware Object Coordinate Space for Category-Level 6D Object Pose Estimation under Large Shape Variations18 Mar 2023
- 2023A General Theory of Correct, Incorrect, and Extrinsic Equivariance8 Mar 2023
- 2023Self-Supervised Category-Level Articulated Object Pose Estimation with Part-Level SE(3) Equivariance28 Feb 2023
- 20233D Surface Reconstruction in the Wild by Deforming Shape Priors from Synthetic Data24 Feb 2023
- 2023S3I-PointHop: SO(3)-Invariant PointHop for 3D Point Cloud Classification22 Feb 2023
- 2023General Rotation Invariance Learning for Point Clouds via Weight-Feature Alignment20 Feb 2023
- 2023A Correct-and-Certify Approach to Self-Supervise Object Pose Estimators via Ensemble Self-Training12 Feb 2023
- 2023RGB-D-Based Categorical Object Pose and Shape Estimation: Methods, Datasets, and Evaluation19 Jan 2023
- 2022StereoPose: Category-Level 6D Transparent Object Pose Estimation from Stereo Images via Back-View NOCS3 Nov 2022
- 2022Category-Level Global Camera Pose Estimation with Multi-Hypothesis Point Cloud Correspondences28 Sep 2022
- 2022USEEK: Unsupervised SE(3)-Equivariant 3D Keypoints for Generalizable Manipulation28 Sep 2022
- 2022SO(3)-Pose: SO(3)-Equivariance Learning for 6D Object Pose Estimation17 Aug 2022
- 2022Optimal and Robust Category-level Perception: Object Pose and Shape Estimation from 2D and 3D Semantic Keypoints24 Jun 2022
- 2022Certifiable 3D Object Pose Estimation: Foundations, Learning Models, and Self-Training22 Jun 2022
- 2022Equivariant Descriptor Fields: SE(3)-Equivariant Energy-Based Models for End-to-End Visual Robotic Manipulation Learning16 Jun 2022
- 2022ObPose: Leveraging Pose for Object-Centric Scene Inference and Generation in 3D7 Jun 2022
- 2022Rotationally Equivariant 3D Object Detection28 Apr 2022
- 2022Zero-Shot Category-Level Object Pose Estimation7 Apr 2022
- 2022Shape-Pose Disentanglement using SE(3)-equivariant Vector Neurons3 Apr 2022
- 2022Towards Self-Supervised Category-Level Object Pose and Size Estimation6 Mar 2022
- 2022PCRP: Unsupervised Point Cloud Object Retrieval and Pose Estimation16 Feb 2022
- 2021UDA-COPE: Unsupervised Domain Adaptation for Category-level Object Pose Estimation24 Nov 2021
- 2023BundleSDF: Neural 6-DoF Tracking and 3D Reconstruction of Unknown Objectscited by 148
- 2022Zero-Shot Category-Level Object Pose Estimationcited by 57
- 2022Equivariant Descriptor Fields: SE(3)-Equivariant Energy-Based Models for End-to-End Visual Robotic Manipulation Learningcited by 56
- 2024Deep Learning-Based Object Pose Estimation: A Comprehensive Surveycited by 40
- 2023OPDMulti: Openable Part Detection for Multiple Objectscited by 39
- 2023Leveraging SE(3) Equivariance for Learning 3D Geometric Shape Assemblycited by 28
- 2022USEEK: Unsupervised SE(3)-Equivariant 3D Keypoints for Generalizable Manipulationcited by 27
- 2023Self-Supervised Category-Level Articulated Object Pose Estimation with Part-Level SE(3) Equivariancecited by 26
- 2021UDA-COPE: Unsupervised Domain Adaptation for Category-level Object Pose Estimationcited by 25
- 2022Rotationally Equivariant 3D Object Detectioncited by 21
- 2023A General Theory of Correct, Incorrect, and Extrinsic Equivariancecited by 19
- 2023Banana: Banach Fixed-Point Network for Pointcloud Segmentation with Inter-Part Equivariancecited by 19
12 most cited of 44 All 44 (JSON)
- 2026Emergence of a Shared Canonical Object Frame from In-the-Wild Videos29 Jun 2026
- 2026Learning Cross-View Semantic Priors for Single-Reference Unseen Object Pose Estimation20 Jun 2026
- 2025Equivariant symmetry-aware head pose estimation for fetal MRI4 Dec 2025
- 2025Exploring Category-level Articulated Object Pose Tracking on SE(3) Manifolds8 Nov 2025
- 2025Learning Generalizable Shape Completion with SIM(3) Equivariance30 Sep 2025
- 2025Towards Foundation Models for Cryo-ET Subtomogram Analysis29 Sep 2025
- 2024UNOPose: Unseen Object Pose Estimation with an Unposed RGB-D Reference Image25 Nov 2024
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning11 Sep 2024
- 2024OP-Align: Object-level and Part-level Alignment for Self-supervised Category-level Articulated Object Pose Estimation29 Aug 2024
- 2024Deep Learning-Based Object Pose Estimation: A Comprehensive Survey13 May 2024
- 2024Diffusion-Driven Self-Supervised Learning for Shape Reconstruction and Pose Estimation19 Mar 2024
- 2024Category-Agnostic Pose Estimation for Point Clouds12 Mar 2024
12 newest of 44 All 44 (JSON)