Fitting conics of specific types to data

DOI10.1016/j.laa.2003.08.022zbMath1053.65010OpenAlexW1997251428MaRDI QIDQ1826713

Yves Nievergelt

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.08.022

zbMATH Keywords

algorithmcomparison of methodsnumerical examplescurve fittingconicstotal least-squares

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items

Does the best-fitting curve always exist?, Errors-in-variables regression and the problem of moments, Algorithms for projecting points onto conics

Uses Software

• SUNDIALS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalization of the Eckart-Young-Mirsky matrix approximation theorem
• Least squares with a quadratic constraint
• Circle fitting by linear and nonlinear least squares
• Modern geometry with applications
• Least-squares fitting of ellipses and hyperbolas
• Least squares data fitting with implicit functions
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• Perturbation Bounds for the $QR$ Factorization of a Matrix
• Computing Geodetic Coordinates
• Iterative Solution Methods
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
• Perturbation bounds in connection with singular value decomposition
• Perturbation theory for pseudo-inverses
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Least-squares fitting of circles and ellipses
• Hyperspheres and hyperplanes fitted seamlessly by algebraic constrained total least-squares