A trust region algorithm for parametric curve and surface fitting

DOI10.1016/0377-0427(96)00039-8zbMath0861.65010OpenAlexW2002934147WikidataQ126759490 ScholiaQ126759490MaRDI QIDQ1815878

D. Zwick, Hans-Peter Helfrich

Publication date: 19 November 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(96)00039-8

zbMATH Keywords

hyperboloidcurve fittingtrust region algorithmscattered data fittingsurface fittingparameter fitting

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10)

Related Items (4)

A class of methods for fitting a curve or surface to data by minimizing the sum of squares of orthogonal distances. ⋮ Multivariate scattered data fitting ⋮ Incomplete orthogonal distance regression ⋮ Fitting parametric curves and surfaces by \(l_\infty\) distance regression

Uses Software

• ODRPACK

Cites Work

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• Convergence properties of trust region methods for linear and convex constraints
• Parameter optimization in approximating curves and surfaces to measurement data
• Constrained B-spline curve and surface fitting
• A trust region method for implicit orthogonal distance regression
• Parametric approximation of data using ODR splines
• Trust region algorithms for the nonlinear least distance problem
• A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression
• Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Algorithm 676: ODRPACK: software for weighted orthogonal distance regression

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