Methods for Non-Linear Least Squares Problems (2nd ed.)

By Kaj Madsen, H. B. Nielsen, O. Tingleff. 2004

446 citations recorded by the source corpus.

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An insight into optical metrology in manufacturing (2020, unknown): “As schematically illustrated in figure 42, the nonlinear regression method iteratively adjusts the structural parameter vector x using some optimization algorithms [285, 286], such as the Gauss– Newton algorithm and the Levenberg–Marquardt algorithm, until the simulated signature F(x) best matches t”
Automatic Variogram Modeling by Iterative Least Squares: Univariate and Multivariate Cases (2013, unknown): “We call it foxleg by reference to the close Powell’s Dog Leg algorithm (for instance Madsen et al, 2004a) and the translation of the French name of the second author.”
Fast Automatic Precision Tree Models from Terrestrial Laser Scanner Data (2013, methodology): “This nonlinear optimization problem requires iterative solution methods with good initial estimates for the parameter values [38].”
Online modeling for realtime facial animation (2013, methodology): “The optimization is solved using the Gauss-Newton method [Madsen et al. 2004].”