The Chow form of the essential variety in computer vision

DOI10.1016/j.jsc.2017.03.010zbMath1380.68369arXiv1604.04372OpenAlexW2963612330MaRDI QIDQ1680158

Giorgio Ottaviani, Joe Kileel, Gunnar Fløystad

Publication date: 22 November 2017

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04372

zbMATH Keywords

Chow formUlrich sheafcalibrated camerasessential varietyPieri resolutions

Mathematics Subject Classification ID

Determinantal varieties (14M12) Computational aspects of higher-dimensional varieties (14Q15) Parametrization (Chow and Hilbert schemes) (14C05) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Machine vision and scene understanding (68T45)

Related Items (10)

Explicit Pieri inclusions ⋮ Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction ⋮ The Euclidean distance degree of orthogonally invariant matrix varieties ⋮ VerifyRealRoots: a Matlab package for computing verified real solutions of polynomials systems of equations and inequalities ⋮ Jordan Algebras of Symmetric Matrices ⋮ Nonlinear algebra and applications ⋮ Two Hilbert Schemes in Computer Vision ⋮ Classification and geometric properties of surfaces with property \(\mathbf{N}_{3,3}\) ⋮ Distortion varieties ⋮ Bad projections of the PSD cone

Uses Software

• Macaulay2
• SchurRings
• PieriMaps

Cites Work

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• Sheaf cohomology and free resolutions over exterior algebras
• Resultants and Chow forms via exterior syzygies
• Multiple View Geometry in Computer Vision
• The Euclidean distance degree of an algebraic variety

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