Consistent least squares fitting of ellipsoids

DOI10.1007/s00211-004-0526-9zbMath1054.65010OpenAlexW2150452754MaRDI QIDQ1882559

Ivan Markovsky, Sabine Van Huffel, Alexander G. Kukush

Publication date: 1 October 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/263295/1/ellest_comp_published.pdf

zbMATH Keywords

parameter estimationleast squares methodellipsoid fitting

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (9)

Adjusted least squares fitting of algebraic hypersurfaces ⋮ Nonlinearly Structured Low-Rank Approximation ⋮ Total least-squares regularization of Tykhonov type and an ancient racetrack in Corinth ⋮ A cell based particle method for modeling dynamic interfaces ⋮ On the conic section fitting problem ⋮ Constrained ellipse fitting with center on a line ⋮ Structured low-rank approximation for nonlinear matrices ⋮ Consistent estimation in an implicit quadratic measurement error model ⋮ Singular asymptotic normality of an estimator in the conic section fitting problem. I

Cites Work

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• Consistent estimation in an implicit quadratic measurement error model
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• Consistent fundamental matrix estimation in a quadratic measurement error model arising in motion analysis
• Statistical bias of conic fitting and renormalization
• Consistent Estimates Based on Partially Consistent Observations
• Least-squares fitting of circles and ellipses
• Hyperspheres and hyperplanes fitted seamlessly by algebraic constrained total least-squares

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