mlsanityData to 14 Oct 2026

Isometric Multi-Shape Matching

arXiv 2012.02689 ↗First posted 4 Dec 2020cs.CVcited by 33

Not on the map. Why?

Abstract (arXiv)

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence methods aim to find a solution between pairs of shapes, even if multiple instances of the same class are available. While isometries are often studied in shape correspondence problems, they have not been considered explicitly in the multi-matching setting. This paper closes this gap by proposing a novel optimisation formulation for isometric multi-shape matching. We present a suitable optimisation algorithm for solving our formulation and provide a convergence and complexity analysis. Our algorithm obtains multi-matchings that are by construction provably cycle-consistent. We demonstrate the superior performance of our method on various datasets and set the new state-of-the-art in isometric multi-shape matching.

Key facts. Cited by 33 papers in the map (data through 14 Oct 2026). First posted on arXiv 4 Dec 2020.

Builds on

No reference list yet.

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 4; 2022: 5; 2023: 10; 2024: 4; 2025: 5; 2026: 5.

33 papers.

Sort:

By area:

  1. 2023Unsupervised Learning of Robust Spectral Shape Matchingcited by 57
  2. 2022Unsupervised Deep Multi-Shape Matchingcited by 39
  3. 2021Multiway Non-rigid Point Cloud Registration via Learned Functional Map Synchronizationcited by 30
  4. 2023Spatially and Spectrally Consistent Deep Functional Mapscited by 30
  5. 2023Self-Supervised Learning for Multimodal Non-Rigid 3D Shape Matchingcited by 23
  6. 2022A Scalable Combinatorial Solver for Elastic Geometrically Consistent 3D Shape Matchingcited by 19
  7. 2023Geometrically Consistent Partial Shape Matchingcited by 13
  8. 2024SRIF: Semantic Shape Registration Empowered by Diffusion-based Image Morphing and Flow Estimationcited by 12
  9. 2023CCuantuMM: Cycle-Consistent Quantum-Hybrid Matching of Multiple Shapescited by 11
  10. 2023GenCorres: Consistent Shape Matching via Coupled Implicit-Explicit Shape Generative Modelscited by 11
  11. 2025DiffuMatch: Category-Agnostic Spectral Diffusion Priors for Robust Non-rigid Shape Matchingcited by 10
  12. 2022Q-FW: A Hybrid Classical-Quantum Frank-Wolfe for Quadratic Binary Optimizationcited by 8
21 more
  1. 2022G-MSM: Unsupervised Multi-Shape Matching with Graph-based Affinity Priorscited by 8
  2. 2023Revisiting Map Relations for Unsupervised Non-Rigid Shape Matchingcited by 8
  3. 2024Synchronous Diffusion for Unsupervised Smooth Non-Rigid 3D Shape Matchingcited by 7
  4. 2021Sparse Quadratic Optimisation over the Stiefel Manifold with Application to Permutation Synchronisationcited by 6
  5. 2023Kissing to Find a Match: Efficient Low-Rank Permutation Representationcited by 5
  6. 2025Quantum-enhanced Computer Vision: Going Beyond Classical Algorithmscited by 5
  7. 2022Universe Points Representation Learning for Partial Multi-Graph Matchingcited by 3
  8. 2025Symmetry Understanding of 3D Shapes via Chirality Disentanglementcited by 3
  9. 2024Optimizing Incomplete, Large-Scale and Sparse Multi-Graph Matching in Bioimagingcited by 2
  10. 2026SGMatch: Semantic-Guided Non-Rigid Shape Matching with Flow Regularizationcited by 2
  11. 2026RINO: Rotation-Invariant Non-Rigid Correspondencescited by 2
  12. 2021Riemannian Functional Map Synchronization for Probabilistic Partial Correspondence in Shape Networkscited by 1
  13. 2023A Novel and Optimal Spectral Method for Permutation Synchronizationcited by 1
  14. 2023Non-Negative Spherical Relaxations for Universe-Free Multi-Matching and Clusteringcited by 1
  15. 2025ARC-Flow : Articulated, Resolution-Agnostic, Correspondence-Free Matching and Interpolation of 3D Shapes Under Flow Fieldscited by 1
  16. 2025DcMatch: Unsupervised Multi-Shape Matching with Dual-Level Consistencycited by 1
  17. 2026Hyper-Network Neural Functional Maps for Unsupervised Robust 3D Shape Matchingcited by 1
  18. 2021Temporally-Consistent Surface Reconstruction using Metrically-Consistent Atlasescited by 0
  19. 2024Deep Frequency-Aware Functional Maps for Robust Shape Matchingcited by 0
  20. 2026DisPOSE: Projected Polystochastic Diffusion for Self-Supervised Multi-View 3D Human Pose Estimationcited by 0
  21. 2026MDND: Unsupervised Learning Guided by Non-Differentiable Refinement for Shape Correspondencecited by 0