mlsanityData to 7 Oct 2026

Distortion Varieties

arXiv 1610.01860 ↗First posted 6 Oct 2016math.AG cs.CVcited by 8

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Abstract (arXiv)

The distortion varieties of a given projective variety are parametrized by duplicating coordinates and multiplying them with monomials. We study their degrees and defining equations. Exact formulas are obtained for the case of one-parameter distortions. These are based on Chow polytopes and Gr"obner bases. Multi-parameter distortions are studied using tropical geometry. The motivation for distortion varieties comes from multi-view geometry in computer vision. Our theory furnishes a new framework for formulating and solving minimal problems for camera models with image distortion.

Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Oct 2016.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 2; 2022: 2; 2023: 1; 2024: 1; 2025: 0; 2026: 2.

8 papers.

  1. 2022Snapshot of Algebraic Visioncited by 9
  2. 2022Optimizing Elimination Templates by Greedy Parameter Searchcited by 8
  3. 2021Trust Your IMU: Consequences of Ignoring the IMU Driftcited by 3
  4. 2024Tensor-Based Synchronization and the Low-Rankness of the Block Trifocal Tensorcited by 3
  5. 2023Automatic Solver Generator for Systems of Laurent Polynomial Equationscited by 2
  6. 2021On a realization of motion and similarity group equivalence classes of labeled points in mathbb Rk with applications to computer visioncited by 0
  7. 2026QuadSync: Quadrifocal Tensor Synchronization via Tucker Decompositioncited by 0
  8. 2026Elimination Templates in Macaulay2cited by 0