Euclidean Distance Degree of the Multiview Variety

DOI10.1137/18M1233406zbMath1437.13049arXiv1812.05648OpenAlexW2999824720WikidataQ114615471 ScholiaQ114615471MaRDI QIDQ5215533

Botong Wang, Laurenţiu Maxim, Jose Israel Rodriguez

Publication date: 12 February 2020

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05648

zbMATH Keywords

Euler-Poincaré characteristicEuclidean distance degreelocal Euler obstructiontriangulation problemmultiview varietynonproper Morse theory

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Characteristic classes and numbers in differential topology (57R20) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

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A Numerical Approach for Computing Euler Characteristics of Affine Varieties ⋮ Milnor Number and Chern Classes for Singular Varieties: An Introduction ⋮ Data loci in algebraic optimization ⋮ The Maximum Likelihood Degree of Sparse Polynomial Systems ⋮ Euclidean distance degree and limit points in a Morsification ⋮ Algebraic structures in statistical methodology. Abstracts from the workshop held December 4--10, 2022 ⋮ An atlas for the pinhole camera ⋮ Gaussian Likelihood Geometry of Projective Varieties ⋮ Nonlinear algebra and applications ⋮ Line Multiview Varieties ⋮ Linear optimization on varieties and Chern-Mather classes ⋮ Defect of Euclidean distance degree ⋮ NOTES ON VANISHING CYCLES AND APPLICATIONS ⋮ A Morse theoretic approach to non-isolated singularities and applications to optimization ⋮ Euclidean distance degree and mixed volume

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