The distance function from a real algebraic variety

DOI10.1016/j.cagd.2020.101927zbMath1453.65046arXiv1807.10390OpenAlexW3082826029MaRDI QIDQ2005166

Luca Sodomaco, Giorgio Ottaviani

Publication date: 7 October 2020

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10390

zbMATH Keywords

real algebraic varietyEuclidean distanceEuclidean distance degreeisotropic quadricEuclidean distance polynomialpolar degrees

Mathematics Subject Classification ID

Real algebraic sets (14P05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Geometric aspects of numerical algebraic geometry (14Q65)

Related Items (8)

Voronoi cells of varieties ⋮ Degrees of Kalman varieties of tensors ⋮ Exact solutions in low-rank approximation with zeros ⋮ The critical curvature degree of an algebraic variety ⋮ Nonlinear algebra and applications ⋮ Eigenschemes of Ternary Tensors ⋮ Asymptotics of degrees and ED degrees of Segre products ⋮ On the product of the singular values of a binary tensor

Uses Software

• Macaulay2

Cites Work

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