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math.AGMay 16, 2012
46
citations (OpenAlex)
authors
  • Chris Aholt
  • Luke Oeding
institutions
  • Auburn University
  • University of California, Berkeley
  • University of Washington
arXiv abstractPDF
paper

The ideal of the trifocal variety

arXiv:1205.3776 · doi:10.1090/S0025-5718-2014-02842-1

Abstract

Techniques from representation theory, symbolic computational algebra, and numerical algebraic geometry are used to find the minimal generators of the ideal of the trifocal variety. An effective test for determining whether a given tensor is a trifocal tensor is also given.

Cited by in corpus (12)

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  • On Some Properties of Calibrated Trifocal Tensors
  • Rigid Multiview Varieties
  • The 3 x 3 x 3 hyperdeterminant as a polynomial in the fundamental invariants for SL(3,C) x SL(3,C) x SL(3,C)
  • Dual Principal Component Pursuit
  • An Atlas for the Pinhole Camera
  • Trifocal Relative Pose from Lines at Points and its Efficient Solution
  • Are all Secant Varieties of Segre Products Arithmetically Cohen-Macaulay?
  • Multi-focal tensors as invariant differential forms
  • Nonlinear Algebra and Applications
  • Necessary and Sufficient Polynomial Constraints on Compatible Triplets of Essential Matrices
  • Minimal Problems for the Calibrated Trifocal Variety
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