Adjusted least squares fitting of algebraic hypersurfaces

DOI10.1016/J.LAA.2015.07.023zbMath1386.65082arXiv1412.2291OpenAlexW1785858982MaRDI QIDQ281980

Ivan Markovsky, Konstantin Usevich

Publication date: 11 May 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2291

zbMATH Keywords

Hermite polynomialscurve fittingstatistical estimationaffine invariancehypersurface fittingquasi-Hankel matrix

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Numerical smoothing, curve fitting (65D10) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Matrix pencils (15A22) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (1)

Structured low-rank approximation for nonlinear matrices

Cites Work

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• Implicitization of curves and (hyper)surfaces using predicted support
• Low rank approximation. Algorithms, implementation, applications
• On the conic section fitting problem
• Consistent estimation in an implicit quadratic measurement error model
• Identification of nonlinear errors-in-variables models.
• Consistent least squares fitting of ellipsoids
• Spectral properties of block multilevel Hankel matrices
• Multivariate polynomials, duality, and structured matrices
• Approximate varieties, approximate ideals and dimension reduction
• Nonlinearly Structured Low-Rank Approximation
• Least-squares fitting of circles and ellipses

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