mlsanityData to 14 Oct 2026

Snapshot of Algebraic Vision

arXiv 2210.11443 ↗First posted 20 Oct 2022math.AG cs.CVcited by 9

Not on the map. Why?

Abstract (arXiv)

In this survey article, we present interactions between algebraic geometry and computer vision, which have recently come under the header of algebraic vision. The subject has given new insights in multiple view geometry and its application to 3D scene reconstruction and carried a host of novel problems and ideas back into algebraic geometry.

Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 41 of its 201 references that are in the map. First posted on arXiv 20 Oct 2022.

Builds on

41 of 201 references.

References · 41

  1. 2017A Survey of Structure from Motioncited by 158
  2. 2016SE-Sync: A Certifiably Correct Algorithm for Synchronization over the Special Euclidean Groupcited by 80
  3. 2016Rolling Shutter Camera Relative Pose: Generalized Epipolar Geometrycited by 26
  4. 2018Beyond Gr"obner Bases: Basis Selection for Minimal Solverscited by 25
  5. 2021Certifiably Optimal Outlier-Robust Geometric Perception: Semidefinite Relaxations and Scalable Global Optimizationcited by 21
  6. 2019Robust Group Synchronization via Cycle-Edge Message Passingcited by 19
  7. 2021Learning to Solve Hard Minimal Problemscited by 19
  8. 2019PLMP -- Point-Line Minimal Problems in Complete Multi-View Visibilitycited by 18
  9. 2017A clever elimination strategy for efficient minimal solverscited by 17
  10. 2013The Euclidean distance degree of an algebraic varietycited by 16
  11. 2020PL1P -- Point-line Minimal Problems under Partial Visibility in Three Viewscited by 16
  12. 2016Minimal Problems for the Calibrated Trifocal Varietycited by 15
29 more
  1. 2017A Minimal Solution for Two-view Focal-length Estimation using Two Affine Correspondencescited by 14
  2. 2017On the local stability of semidefinite relaxationscited by 12
  3. 2021Galois/monodromy groups for decomposing minimal problems in 3D reconstructioncited by 12
  4. 2018Five-point Fundamental Matrix Estimation for Uncalibrated Camerascited by 11
  5. 2019A sparse resultant based method for efficient minimal solverscited by 11
  6. 2022Estimation Contracts for Outlier-Robust Geometric Perceptioncited by 11
  7. 2018A Minimal Closed-Form Solution for Multi-Perspective Pose Estimation using Points and Linescited by 10
  8. 2021On the Instability of Relative Pose Estimation and RANSAC's Rolecited by 10
  9. 2016Distortion Varietiescited by 8
  10. 2021GPU-Based Homotopy Continuation for Minimal Problems in Computer Visioncited by 8
  11. 2022Optimizing Elimination Templates by Greedy Parameter Searchcited by 8
  12. 2020GAPS: Generator for Automatic Polynomial Solverscited by 7
  13. 2015On the Existence of Epipolar Matricescited by 6
  14. 2021Critical configurations for two projective views, a new approachcited by 5
  15. 2022An Atlas for the Pinhole Cameracited by 5
  16. 2015The Quadrifocal Varietycited by 4
  17. 2016On Some Properties of Calibrated Trifocal Tensorscited by 4
  18. 2016The Chow Form of the Essential Variety in Computer Visioncited by 4
  19. 2018On the Solvability of Viewing Graphscited by 3
  20. 2016Congruences and Concurrent Lines in Multi-View Geometrycited by 2
  21. 2016General models for rational cameras and the case of two-slit projectionscited by 2
  22. 2020The Chiral Domain of a Camera Arrangementcited by 2
  23. 2021Critical configurations for three projective viewscited by 2
  24. 2015Filtrated Algebraic Subspace Clusteringcited by 1
  25. 2015Rigid Multiview Varietiescited by 1
  26. 2016The Euclidean Distance Degree of Orthogonally Invariant Matrix Varietiescited by 1
  27. 2017Changing Views on Curves and Surfacescited by 1
  28. 2017Projective reconstruction in algebraic visioncited by 1
  29. 2020Existence of Two View Chiral Reconstructionscited by 1

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 2; 2024: 1; 2025: 4; 2026: 2.

9 papers.

  1. 2024Tensor-Based Synchronization and the Low-Rankness of the Block Trifocal Tensorcited by 3
  2. 2023Algebra and Geometry of Camera Resectioningcited by 2
  3. 2025A Taxonomy of Structure from Motion Methodscited by 2
  4. 2023Condition numbers in multiview geometry, instability in relative pose estimation, and RANSACcited by 1
  5. 2025An Algebraic Geometry Approach to Viewing Graph Solvabilitycited by 0
  6. 2025Numerically Computing Galois Groups of Minimal Problemscited by 0
  7. 2025Universal Gr"obner Bases of (Universal) Multiview Idealscited by 0
  8. 2026QuadSync: Quadrifocal Tensor Synchronization via Tucker Decompositioncited by 0
  9. 2026Multiprojective Geometry of Compatible Triples of Fundamental and Essential Matricescited by 0