mlsanityData to 7 Oct 2026

Efficient Deformable Shape Correspondence via Kernel Matching

arXiv 1707.08991 ↗First posted 25 Jul 2017cs.CVcited by 25

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Abstract (arXiv)

We present a method to match three dimensional shapes under non-isometric deformations, topology changes and partiality. We formulate the problem as matching between a set of pair-wise and point-wise descriptors, imposing a continuity prior on the mapping, and propose a projected descent optimization procedure inspired by difference of convex functions (DC) programming. Surprisingly, in spite of the highly non-convex nature of the resulting quadratic assignment problem, our method converges to a semantically meaningful and continuous mapping in most of our experiments, and scales well. We provide preliminary theoretical analysis and several interpretations of the method.

Key facts. Cited by 25 papers in the map (data through 7 Oct 2026). First posted on arXiv 25 Jul 2017.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 3; 2022: 7; 2023: 5; 2024: 6; 2025: 2; 2026: 2.

25 papers.

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  1. 2022A Survey of Non-Rigid 3D Registrationcited by 59
  2. 2022Smooth Non-Rigid Shape Matching via Effective Dirichlet Energy Optimizationcited by 37
  3. 2021Q-Match: Iterative Shape Matching via Quantum Annealingcited by 27
  4. 2024UniGarmentManip: A Unified Framework for Category-Level Garment Manipulation via Dense Visual Correspondencecited by 22
  5. 2022Intrinsic Neural Fields: Learning Functions on Manifoldscited by 20
  6. 2022A Scalable Combinatorial Solver for Elastic Geometrically Consistent 3D Shape Matchingcited by 19
  7. 2023Hybrid Functional Maps for Crease-Aware Non-Isometric Shape Matchingcited by 18
  8. 2021ResNet-LDDMM: Advancing the LDDMM Framework using Deep Residual Networkscited by 13
  9. 2024SRIF: Semantic Shape Registration Empowered by Diffusion-based Image Morphing and Flow Estimationcited by 12
  10. 2024Wormhole Loss for Partial Shape Matchingcited by 12
  11. 2023CCuantuMM: Cycle-Consistent Quantum-Hybrid Matching of Multiple Shapescited by 11
  12. 2022G-MSM: Unsupervised Multi-Shape Matching with Graph-based Affinity Priorscited by 8
13 more
  1. 2023DiscoMatch: Fast Discrete Optimisation for Geometrically Consistent 3D Shape Matchingcited by 7
  2. 2024Synchronous Diffusion for Unsupervised Smooth Non-Rigid 3D Shape Matchingcited by 7
  3. 2023Kissing to Find a Match: Efficient Low-Rank Permutation Representationcited by 5
  4. 2023SIGMA: Scale-Invariant Global Sparse Shape Matchingcited by 4
  5. 2021Medial Spectral Coordinates for 3D Shape Analysiscited by 3
  6. 2022SeedGNN: Graph Neural Networks for Supervised Seeded Graph Matchingcited by 3
  7. 2022Symmetric Volume Maps: Order-Invariant Volumetric Mesh Correspondence with Free Boundarycited by 2
  8. 2024Scalable unsupervised alignment of general metric and non-metric structurescited by 2
  9. 2026RINO: Rotation-Invariant Non-Rigid Correspondencescited by 2
  10. 2024Deep Frequency-Aware Functional Maps for Robust Shape Matchingcited by 0
  11. 2025Sinkhorn Normalization of Diffusion Kernelscited by 0
  12. 2025Matching Shapes Under Different Topologies: A Topology-Adaptive Deformation Guided Approachcited by 0
  13. 2026Domain Elastic Transform: Bayesian Function Registration for High-Dimensional Scientific Datacited by 0