Minimal Problems for the Calibrated Trifocal Variety
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Abstract (arXiv)
We determine the algebraic degree of minimal problems for the calibrated trifocal variety in computer vision. We rely on numerical algebraic geometry and the homotopy continuation software Bertini.
Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Nov 2016.
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Citing papers per year: 2021: 4; 2022: 2; 2023: 1; 2024: 3; 2025: 3; 2026: 2.
15 papers.
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- 2021Learning to Solve Hard Minimal Problemscited by 18
- 2021Galois/monodromy groups for decomposing minimal problems in 3D reconstructioncited by 12
- 2022Snapshot of Algebraic Visioncited by 9
- 2021GPU-Based Homotopy Continuation for Minimal Problems in Computer Visioncited by 8
- 2022An Atlas for the Pinhole Cameracited by 5
- 2024Minimal Perspective Autocalibrationcited by 3
- 2024Tensor-Based Synchronization and the Low-Rankness of the Block Trifocal Tensorcited by 3
- 2023Practical solutions to the relative pose of three calibrated camerascited by 1
- 2024Simulator HC: Regression-based Online Simulation of Starting Problem-Solution Pairs for Homotopy Continuation in Geometric Visioncited by 1
- 2025Higher-Order Group Synchronizationcited by 1
- 2021On a realization of motion and similarity group equivalence classes of labeled points in mathbb Rk with applications to computer visioncited by 0
- 2025PLMP -- Point-Line Minimal Problems for Projective SfMcited by 0
- 2026Multiprojective Geometry of Compatible Triples of Fundamental and Essential Matrices26 Feb 2026
- 2026QuadSync: Quadrifocal Tensor Synchronization via Tucker Decomposition26 Feb 2026
- 2025Numerically Computing Galois Groups of Minimal Problems14 Jul 2025
- 2025Higher-Order Group Synchronization28 May 2025
- 2025PLMP -- Point-Line Minimal Problems for Projective SfM6 Mar 2025
- 2024Simulator HC: Regression-based Online Simulation of Starting Problem-Solution Pairs for Homotopy Continuation in Geometric Vision6 Nov 2024
- 2024Tensor-Based Synchronization and the Low-Rankness of the Block Trifocal Tensor14 Sep 2024
- 2024Minimal Perspective Autocalibration9 May 2024
- 2023Practical solutions to the relative pose of three calibrated cameras28 Mar 2023
- 2022Snapshot of Algebraic Vision20 Oct 2022
- 2022An Atlas for the Pinhole Camera27 Jun 2022
- 2021GPU-Based Homotopy Continuation for Minimal Problems in Computer Vision7 Dec 2021
3 more
- 2021Learning to Solve Hard Minimal Problemscited by 18
- 2021Galois/monodromy groups for decomposing minimal problems in 3D reconstructioncited by 12
- 2022Snapshot of Algebraic Visioncited by 9
- 2021GPU-Based Homotopy Continuation for Minimal Problems in Computer Visioncited by 8
- 2022An Atlas for the Pinhole Cameracited by 5
- 2024Minimal Perspective Autocalibrationcited by 3
- 2024Tensor-Based Synchronization and the Low-Rankness of the Block Trifocal Tensorcited by 3
- 2023Practical solutions to the relative pose of three calibrated camerascited by 1
- 2024Simulator HC: Regression-based Online Simulation of Starting Problem-Solution Pairs for Homotopy Continuation in Geometric Visioncited by 1
- 2025Higher-Order Group Synchronizationcited by 1
- 2021On a realization of motion and similarity group equivalence classes of labeled points in mathbb Rk with applications to computer visioncited by 0
- 2025PLMP -- Point-Line Minimal Problems for Projective SfMcited by 0
12 most cited of 15 All 15 (JSON)
- 2026Multiprojective Geometry of Compatible Triples of Fundamental and Essential Matrices26 Feb 2026
- 2026QuadSync: Quadrifocal Tensor Synchronization via Tucker Decomposition26 Feb 2026
- 2025Numerically Computing Galois Groups of Minimal Problems14 Jul 2025
- 2025Higher-Order Group Synchronization28 May 2025
- 2025PLMP -- Point-Line Minimal Problems for Projective SfM6 Mar 2025
- 2024Simulator HC: Regression-based Online Simulation of Starting Problem-Solution Pairs for Homotopy Continuation in Geometric Vision6 Nov 2024
- 2024Tensor-Based Synchronization and the Low-Rankness of the Block Trifocal Tensor14 Sep 2024
- 2024Minimal Perspective Autocalibration9 May 2024
- 2023Practical solutions to the relative pose of three calibrated cameras28 Mar 2023
- 2022Snapshot of Algebraic Vision20 Oct 2022
- 2022An Atlas for the Pinhole Camera27 Jun 2022
- 2021GPU-Based Homotopy Continuation for Minimal Problems in Computer Vision7 Dec 2021
12 newest of 15 All 15 (JSON)