Efficient computation of the Gauss-Newton direction when fitting NURBS using ODR

DOI10.1007/s10543-012-0371-7zbMath1255.65039OpenAlexW2067693391MaRDI QIDQ1759585

Ove Edlund, Per Bergström, Inge Söderkvist

Publication date: 21 November 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0371-7

zbMATH Keywords

algorithmJacobianparameter estimationregularizationnumerical examplesleast-squarescurve fittingGauss-NewtonLevenberg-Marquardtlinear overdetermined systemnonuniform rational \(B\)-splinesorthogonal distance regression (ODR)block angular formNURBS fitting

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Uses Software

• ODRPACK
• symrcm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A full-Newton approach to separable nonlinear least squares problems and its application to discrete least squares rational approximation
• Global reparametrization for curve approximation
• Optimization of a NURBS representation
• A class of methods for fitting a curve or surface to data by minimizing the sum of squares of orthogonal distances.
• Total least squares fitting of Bézier and B-spline curves to ordered data
• Parametrization of randomly measured points for least squares fitting of \(B\)-spline curves and surfaces
• Sparse Matrices in MATLAB: Design and Implementation
• Algorithm 676: ODRPACK: software for weighted orthogonal distance regression
• Unitary Triangularization of a Nonsymmetric Matrix

This page was built for publication: Efficient computation of the Gauss-Newton direction when fitting NURBS using ODR