Neural Intrinsic Embedding for Non-rigid Point Cloud Matching
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Abstract (arXiv)
As a primitive 3D data representation, point clouds are prevailing in 3D sensing, yet short of intrinsic structural information of the underlying objects. Such discrepancy poses great challenges on directly establishing correspondences between point clouds sampled from deformable shapes. In light of this, we propose Neural Intrinsic Embedding (NIE) to embed each vertex into a high-dimensional space in a way that respects the intrinsic structure. Based upon NIE, we further present a weakly-supervised learning framework for non-rigid point cloud registration. Unlike the prior works, we do not require expansive and sensitive off-line basis construction (e.g., eigen-decomposition of Laplacians), nor do we require ground-truth correspondence labels for supervision. We empirically show that our framework performs on par with or even better than the state-of-the-art baselines, which generally require more supervision and/or more structural geometric input.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Builds on 22 of its 58 references that are in the map. First posted on arXiv 2 Mar 2023.
Builds on
22 of 58 references.
References · 22
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- 2021Vector Neurons: A General Framework for SO(3)-Equivariant Networkscited by 304
- 2018The Perfect Match: 3D Point Cloud Matching with Smoothed Densitiescited by 169
- 20183D-CODED : 3D Correspondences by Deep Deformationcited by 160
- 2017Deep Functional Maps: Structured Prediction for Dense Shape Correspondencecited by 134
- 2020Deep Geometric Functional Maps: Robust Feature Learning for Shape Correspondencecited by 125
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- 2018Unsupervised Deep Learning for Structured Shape Matchingcited by 81
- 2021NeuroMorph: Unsupervised Shape Interpolation and Correspondence in One Gocited by 81
10 more
- 2018Continuous and Orientation-preserving Correspondences via Functional Mapscited by 77
- 2019DeepDeform: Learning Non-rigid RGB-D Reconstruction with Semi-supervised Datacited by 76
- 2018A LiDAR Point Cloud Generator: from a Virtual World to Autonomous Drivingcited by 54
- 2020Neural Non-Rigid Trackingcited by 49
- 2020Correspondence Learning via Linearly-invariant Embeddingcited by 48
- 2020CorrNet3D: Unsupervised End-to-end Learning of Dense Correspondence for 3D Point Cloudscited by 47
- 2019Cyclic Functional Mapping: Self-supervised correspondence between non-isometric deformable shapescited by 30
- 2020Learning to Optimize Non-Rigid Trackingcited by 16
- 2018ArticulatedFusion: Real-time Reconstruction of Motion, Geometry and Segmentation Using a Single Depth Cameracited by 8
- 2021GeodesicEmbedding (GE): A High-Dimensional Embedding Approach for Fast Geodesic Distance Queriescited by 3
Built on by
Citing papers per year: 2023: 3; 2024: 1; 2025: 2; 2026: 3.
9 papers.
- 2023NICP: Neural ICP for 3D Human Registration at Scalecited by 21
- 2023DiscoMatch: Fast Discrete Optimisation for Geometrically Consistent 3D Shape Matchingcited by 7
- 2025Surface-Aware Distilled 3D Semantic Featurescited by 5
- 2023Robust-DefReg: A Robust Deformable Point Cloud Registration Method based on Graph Convolutional Neural Networkscited by 4
- 2025DefTransNet: A Transformer-based Method for Non-Rigid Point Cloud Registration in the Simulation of Soft Tissue Deformationcited by 2
- 2026RINO: Rotation-Invariant Non-Rigid Correspondencescited by 2
- 2026Hyper-Network Neural Functional Maps for Unsupervised Robust 3D Shape Matchingcited by 1
- 2024SynBench: A Synthetic Benchmark for Non-rigid 3D Point Cloud Registrationcited by 0
- 2026Spectral-Geometric Neural Fields for Pose-Free LiDAR View Synthesiscited by 0
- 2026Hyper-Network Neural Functional Maps for Unsupervised Robust 3D Shape Matching29 Jun 2026
- 2026RINO: Rotation-Invariant Non-Rigid Correspondences29 Mar 2026
- 2026Spectral-Geometric Neural Fields for Pose-Free LiDAR View Synthesis13 Mar 2026
- 2025Surface-Aware Distilled 3D Semantic Features24 Mar 2025
- 2025DefTransNet: A Transformer-based Method for Non-Rigid Point Cloud Registration in the Simulation of Soft Tissue Deformation10 Feb 2025
- 2024SynBench: A Synthetic Benchmark for Non-rigid 3D Point Cloud Registration22 Sep 2024
- 2023NICP: Neural ICP for 3D Human Registration at Scale21 Dec 2023
- 2023DiscoMatch: Fast Discrete Optimisation for Geometrically Consistent 3D Shape Matching12 Oct 2023
- 2023Robust-DefReg: A Robust Deformable Point Cloud Registration Method based on Graph Convolutional Neural Networks7 Jun 2023