mlsanityData to 7 Oct 2026

A Survey on Computational Solutions for Reconstructing Complete Objects by Reassembling Their Fractured Parts

arXiv 2410.14770 ↗First posted 18 Oct 2024cs.CV cs.GRcited by 8

Not on the map. Why?

Abstract (arXiv)

Reconstructing a complete object from its parts is a fundamental problem in many scientific domains. The purpose of this article is to provide a systematic survey on this topic. The reassembly problem requires understanding the attributes of individual pieces and establishing matches between different pieces. Many approaches also model priors of the underlying complete object. Existing approaches are tightly connected problems of shape segmentation, shape matching, and learning shape priors. We provide existing algorithms in this context and emphasize their similarities and differences to general-purpose approaches. We also survey the trends from early non-deep learning approaches to more recent deep learning approaches. In addition to algorithms, this survey will also describe existing datasets, open-source software packages, and applications. To the best of our knowledge, this is the first comprehensive survey on this topic in computer graphics.

Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 92 of its 321 references that are in the map. First posted on arXiv 18 Oct 2024.

Builds on

92 of 321 references.

References · 92

  1. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
  2. 2023DINOv2: Learning Robust Visual Features without Supervisioncited by 7,764
  3. 2016PointNet: Deep Learning on Point Sets for 3D Classification and Segmentationcited by 5,223
  4. 2017PointNet++: Deep Hierarchical Feature Learning on Point Sets in a Metric Spacecited by 4,384
  5. 2015ShapeNet: An Information-Rich 3D Model Repositorycited by 2,880
  6. 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,682
  7. 2018Dynamic Graph CNN for Learning on Point Cloudscited by 2,220
  8. 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
  9. 2021Diffusion Probabilistic Models for 3D Point Cloud Generationcited by 734
  10. 2022Point-E: A System for Generating 3D Point Clouds from Complex Promptscited by 694
  11. 2016Learning a Probabilistic Latent Space of Object Shapes via 3D Generative-Adversarial Modelingcited by 558
  12. 2018PartNet: A Large-scale Benchmark for Fine-grained and Hierarchical Part-level 3D Object Understandingcited by 521
38 more
  1. 20213D Shape Generation and Completion through Point-Voxel Diffusioncited by 516
  2. 2021Deep Marching Tetrahedra: a Hybrid Representation for High-Resolution 3D Shape Synthesiscited by 459
  3. 20233DShape2VecSet: A 3D Shape Representation for Neural Fields and Generative Diffusion Modelscited by 449
  4. 2023Emergent Correspondence from Image Diffusioncited by 437
  5. 20163D Menagerie: Modeling the 3D shape and pose of animalscited by 310
  6. 2021Vector Neurons: A General Framework for SO(3)-Equivariant Networkscited by 304
  7. 2023A Tale of Two Features: Stable Diffusion Complements DINO for Zero-Shot Semantic Correspondencecited by 297
  8. 2020PREDATOR: Registration of 3D Point Clouds with Low Overlapcited by 287
  9. 2022SDFusion: Multimodal 3D Shape Completion, Reconstruction, and Generationcited by 287
  10. 2021PoinTr: Diverse Point Cloud Completion with Geometry-Aware Transformerscited by 284
  11. 20223D Neural Field Generation using Triplane Diffusioncited by 274
  12. 2018Generating 3D faces using Convolutional Mesh Autoencoderscited by 267
  13. 2023MeshGPT: Generating Triangle Meshes with Decoder-Only Transformerscited by 254
  14. 2019PointNetLK: Robust & Efficient Point Cloud Registration using PointNetcited by 231
  15. 2016Go-ICP: A Globally Optimal Solution to 3D ICP Point-Set Registrationcited by 159
  16. 2018Nonlinear 3D Face Morphable Modelcited by 157
  17. 2022Diffusion-SDF: Conditional Generative Modeling of Signed Distance Functionscited by 133
  18. 2022Neural Wavelet-domain Diffusion for 3D Shape Generationcited by 132
  19. 2023State of the Art on Diffusion Models for Visual Computingcited by 126
  20. 2023Unsupervised Semantic Correspondence Using Stable Diffusioncited by 120
  21. 2019PQ-NET: A Generative Part Seq2Seq Network for 3D Shapescited by 118
  22. 2020SALD: Sign Agnostic Learning with Derivativescited by 115
  23. 2022ShapeFormer: Transformer-based Shape Completion via Sparse Representationcited by 106
  24. 2020The IKEA ASM Dataset: Understanding People Assembling Furniture through Actions, Objects and Posecited by 95
  25. 20223DILG: Irregular Latent Grids for 3D Generative Modelingcited by 92
  26. 2019Neural 3D Morphable Models: Spiral Convolutional Networks for 3D Shape Representation Learning and Generationcited by 89
  27. 2023GeoTransformer: Fast and Robust Point Cloud Registration with Geometric Transformercited by 83
  28. 2016SE-Sync: A Certifiably Correct Algorithm for Synchronization over the Special Euclidean Groupcited by 80
  29. 2019DeepICP: An End-to-End Deep Neural Network for 3D Point Cloud Registrationcited by 77
  30. 2021JoinABLe: Learning Bottom-up Assembly of Parametric CAD Jointscited by 77
  31. 2020Generative 3D Part Assembly via Dynamic Graph Learningcited by 65
  32. 2020Unsupervised Shape and Pose Disentanglement for 3D Meshescited by 61
  33. 2019StructureNet: Hierarchical Graph Networks for 3D Shape Generationcited by 59
  34. 2020Fully Convolutional Mesh Autoencoder using Efficient Spatially Varying Kernelscited by 53
  35. 2020Learning 3D Part Assembly from a Single Imagecited by 51
  36. 20213D Shape Generation with Grid-based Implicit Functionscited by 48
  37. 2020Shonan Rotation Averaging: Global Optimality by Surfing SO(p)ncited by 46
  38. 2024Physical Property Understanding from Language-Embedded Feature Fieldscited by 45

50 most cited of 92 All 92 (JSON)

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 3; 2026: 5.

8 papers.