mlsanityData to 14 Oct 2026

A Survey of Non-Rigid 3D Registration

arXiv 2203.07858 ↗First posted 11 Mar 2022cs.CV cs.GR cs.LGcited by 59

Not on the map. Why?

Abstract (arXiv)

Non-rigid registration computes an alignment between a source surface with a target surface in a non-rigid manner. In the past decade, with the advances in 3D sensing technologies that can measure time-varying surfaces, non-rigid registration has been applied for the acquisition of deformable shapes and has a wide range of applications. This survey presents a comprehensive review of non-rigid registration methods for 3D shapes, focusing on techniques related to dynamic shape acquisition and reconstruction. In particular, we review different approaches for representing the deformation field, and the methods for computing the desired deformation. Both optimization-based and learning-based methods are covered. We also review benchmarks and datasets for evaluating non-rigid registration methods, and discuss potential future research directions.

Key facts. Cited by 59 papers in the map (data through 14 Oct 2026). Builds on 75 of its 310 references that are in the map. First posted on arXiv 11 Mar 2022.

Builds on

75 of 310 references.

References · 75

  1. 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,689
  2. 2013Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distancescited by 2,316
  3. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,238
  4. 2021Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gaugescited by 1,167
  5. 2021Volume Rendering of Neural Implicit Surfacescited by 996
  6. 2016A Point Set Generation Network for 3D Object Reconstruction from a Single Imagecited by 979
  7. 2019Differentiable Volumetric Rendering: Learning Implicit 3D Representations without 3D Supervisioncited by 700
  8. 2021UNISURF: Unifying Neural Implicit Surfaces and Radiance Fields for Multi-View Reconstructioncited by 646
  9. 2016Geometric deep learning on graphs and manifolds using mixture model CNNscited by 468
  10. 2017Learning from Synthetic Humanscited by 359
  11. 20163DMatch: Learning Local Geometric Descriptors from RGB-D Reconstructionscited by 336
  12. 20163D Menagerie: Modeling the 3D shape and pose of animalscited by 312
38 more
  1. 2020State of the Art on Neural Renderingcited by 278
  2. 2018Generating 3D faces using Convolutional Mesh Autoencoderscited by 268
  3. 2020Neural Unsigned Distance Fields for Implicit Function Learningcited by 265
  4. 2021Function4D: Real-time Human Volumetric Capture from Very Sparse Consumer RGBD Sensorscited by 246
  5. 20183D-CODED : 3D Correspondences by Deep Deformationcited by 160
  6. 2017Deep Functional Maps: Structured Prediction for Dense Shape Correspondencecited by 134
  7. 2020Deep Geometric Functional Maps: Robust Feature Learning for Shape Correspondencecited by 125
  8. 2020Differentiable Rendering: A Surveycited by 123
  9. 2016Learning shape correspondence with anisotropic convolutional neural networkscited by 95
  10. 2018DoubleFusion: Real-time Capture of Human Performances with Inner Body Shapes from a Single Depth Sensorcited by 95
  11. 2019Neural 3D Morphable Models: Spiral Convolutional Networks for 3D Shape Representation Learning and Generationcited by 90
  12. 2019SpiralNet++: A Fast and Highly Efficient Mesh Convolution Operatorcited by 89
  13. 2018Unsupervised Deep Learning for Structured Shape Matchingcited by 81
  14. 2021NeuroMorph: Unsupervised Shape Interpolation and Correspondence in One Gocited by 81
  15. 2019DeepDeform: Learning Non-rigid RGB-D Reconstruction with Semi-supervised Datacited by 77
  16. 2021Learning Signed Distance Field for Multi-view Surface Reconstructioncited by 76
  17. 2016VolumeDeform: Real-time Volumetric Non-rigid Reconstructioncited by 75
  18. 2020Deep Shells: Unsupervised Shape Correspondence with Optimal Transportcited by 74
  19. 2019Smooth Shells: Multi-Scale Shape Registration with Functional Mapscited by 72
  20. 2020Neural Deformation Graphs for Globally-consistent Non-rigid Reconstructioncited by 67
  21. 2015Partial Functional Correspondencecited by 61
  22. 20193DN: 3D Deformation Networkcited by 60
  23. 2021DPFM: Deep Partial Functional Mapscited by 58
  24. 2020LIMP: Learning Latent Shape Representations with Metric Preservation Priorscited by 55
  25. 2021Shape registration in the time of transformerscited by 51
  26. 2020Neural Non-Rigid Trackingcited by 49
  27. 2015Building Statistical Shape Spaces for 3D Human Modelingcited by 47
  28. 2020CorrNet3D: Unsupervised End-to-end Learning of Dense Correspondence for 3D Point Cloudscited by 47
  29. 2018FilterReg: Robust and Efficient Probabilistic Point-Set Registration using Gaussian Filter and Twist Parameterizationcited by 43
  30. 2020CNNs on Surfaces using Rotation-Equivariant Featurescited by 43
  31. 2019SimulCap : Single-View Human Performance Capture with Cloth Simulationcited by 41
  32. 2021Locally Aware Piecewise Transformation Fields for 3D Human Mesh Registrationcited by 41
  33. 2018Multi-directional Geodesic Neural Networks via Equivariant Convolutioncited by 32
  34. 2019ZoomOut: Spectral Upsampling for Efficient Shape Correspondencecited by 30
  35. 2020Robust 3D Self-portraits in Secondscited by 30
  36. 2015Dense Human Body Correspondences Using Convolutional Networkscited by 26
  37. 2018FARM: Functional Automatic Registration Method for 3D Human Bodiescited by 26
  38. 2017Efficient Deformable Shape Correspondence via Kernel Matchingcited by 25

50 most cited of 75 All 75 (JSON)

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 4; 2023: 18; 2024: 19; 2025: 9; 2026: 9.

59 papers.

Sort:

By area:

  1. 2022Smooth Non-Rigid Shape Matching via Effective Dirichlet Energy Optimizationcited by 37
  2. 2022Learning Multi-resolution Functional Maps with Spectral Attention for Robust Shape Matchingcited by 35
  3. 2023Spatially and Spectrally Consistent Deep Functional Mapscited by 30
  4. 2024Spectral Meets Spatial: Harmonising 3D Shape Matching and Interpolationcited by 26
  5. 2023Robust Zero Level-Set Extraction from Unsigned Distance Fields Based on Double Coveringcited by 22
  6. 2023NICP: Neural ICP for 3D Human Registration at Scalecited by 21
  7. 2023NCP: Neural Correspondence Prior for Effective Unsupervised Shape Matchingcited by 18
  8. 2023Hybrid Functional Maps for Crease-Aware Non-Isometric Shape Matchingcited by 18
  9. 2023Deep Graph-based Spatial Consistency for Robust Non-rigid Point Cloud Registrationcited by 15
  10. 2023Generalizing Neural Human Fitting to Unseen Poses With Articulated SE(3) Equivariancecited by 14
  11. 2024Memory-Scalable and Simplified Functional Map Learningcited by 14
  12. 2025Reconstructing 4D Spatial Intelligence: A Surveycited by 14
38 more
  1. 2022SRFeat: Learning Locally Accurate and Globally Consistent Non-Rigid Shape Correspondencecited by 13
  2. 2022Fast and Robust Non-Rigid Registration Using Accelerated Majorization-Minimizationcited by 12
  3. 2024Boundary Constraint-free Biomechanical Model-Based Surface Matching for Intraoperative Liver Deformation Correctioncited by 12
  4. 2024SRIF: Semantic Shape Registration Empowered by Diffusion-based Image Morphing and Flow Estimationcited by 12
  5. 2023CCuantuMM: Cycle-Consistent Quantum-Hybrid Matching of Multiple Shapescited by 11
  6. 2023SceNeRFlow: Time-Consistent Reconstruction of General Dynamic Scenescited by 11
  7. 2024Beyond Complete Shapes: A Benchmark for Quantitative Evaluation of 3D Shape Surface Matching Algorithmscited by 11
  8. 2024Correspondence-Free Non-Rigid Point Set Registration Using Unsupervised Clustering Analysiscited by 10
  9. 2023Root Pose Decomposition Towards Generic Non-rigid 3D Reconstruction with Monocular Videoscited by 8
  10. 2023Diffusion Shape Prior for Wrinkle-Accurate Cloth Registrationcited by 8
  11. 2024Synchronous Diffusion for Unsupervised Smooth Non-Rigid 3D Shape Matchingcited by 7
  12. 2023Leveraging Intrinsic Properties for Non-Rigid Garment Alignmentcited by 6
  13. 2023Dyn-E: Local Appearance Editing of Dynamic Neural Radiance Fieldscited by 5
  14. 2023Basis restricted elastic shape analysis on the space of unregistered surfacescited by 5
  15. 2024Semantic Human Mesh Reconstruction with Texturescited by 5
  16. 2024Degrees of Freedom Matter: Inferring Dynamics from Point Trajectoriescited by 5
  17. 2023Robust-DefReg: A Robust Deformable Point Cloud Registration Method based on Graph Convolutional Neural Networkscited by 4
  18. 2024LUDO: Low-Latency Understanding of Deformable Objects using Point Cloud Occupancy Functionscited by 4
  19. 2025Occlusion-aware Non-Rigid Point Cloud Registration via Unsupervised Neural Deformation Correntropycited by 4
  20. 2025Fast Globally Optimal and Geometrically Consistent 3D Shape Matchingcited by 4
  21. 2025FRIDU: Functional Map Refinement with Guided Image Diffusioncited by 4
  22. 2026MorphAny3D: Unleashing the Power of Structured Latent in 3D Morphingcited by 4
  23. 2026Non-Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunitiescited by 4
  24. 2023BLiSS: Bootstrapped Linear Shape Spacecited by 3
  25. 2023Deformation-Guided Unsupervised Non-Rigid Shape Matchingcited by 3
  26. 2024TutteNet: Injective 3D Deformations by Composition of 2D Mesh Deformationscited by 3
  27. 2025Deformable registration and generative modelling of aortic anatomies by auto-decoders and neural ODEscited by 3
  28. 2023Partial Transport for Point-Cloud Registrationcited by 2
  29. 2024SLAM assisted 3D tracking system for laparoscopic surgerycited by 2
  30. 2025DefTransNet: A Transformer-based Method for Non-Rigid Point Cloud Registration in the Simulation of Soft Tissue Deformationcited by 2
  31. 2025AI-Powered Automated Model Construction for Patient-Specific CFD Simulations of Aortic Flowscited by 2
  32. 2024SPARE: Symmetrized Point-to-Plane Distance for Robust Non-Rigid 3D Registrationcited by 1
  33. 2024RatBodyFormer: Rat Body Surface from Keypointscited by 1
  34. 2024LEDA: Log-Euclidean Diffeomorphism Autoencoder for Efficient Statistical Analysis of Diffeomorphismscited by 1
  35. 2026MeshLoom: Feed-Forward Non-Rigid Registration of Mesh Sequencescited by 1
  36. 2026Hyper-Network Neural Functional Maps for Unsupervised Robust 3D Shape Matchingcited by 1
  37. 2026Ordered Diffusion for 3D Human Registrationcited by 1
  38. 2024Towards Geometric-Photometric Joint Alignment for Facial Mesh Registrationcited by 0

50 most cited of 59 All 59 (JSON)