A Newton-type method for constrained least-squares data-fitting with easy-to-control rational curves

DOI10.1016/j.cam.2008.02.005zbMath1156.65011OpenAlexW1976926600MaRDI QIDQ2378245

Lucia Romani, Giulio Casciola

Publication date: 7 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.02.005

zbMATH Keywords

computer-aided geometric designnumerical examplesrational Hermite interpolationconstrained approximationautomatic selection of weightsinterior-point Newton-type methodleast-squares data-fitting

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Interior-point methods (90C51) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints
• Optimization of a NURBS representation
• On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
• Multidimensional curve fitting to unorganized data points by nonlinear minimization
• Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
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