Surface fitting with NURBS: a gauss Newton with trust region approach

Authors:
Nils Carlson;Mårten Gulliksson
Affiliations:
Luleå University of Technology, Department of Mathematics, Luleå, Sweden;Mid Sweden University, Department of Natural Sciences, Sundsvall, Sweden
Venue:
MATH'08 Proceedings of the 13th WSEAS international conference on Applied mathematics
Year:
2008

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Abstract

This paper shows a new approach for non-linear least squares fitting with NURBS as curves and surfaces to measured data by the Gauss-Newton method. A Trust Region algorithm is used to reach global convergence as well as variable substitution and simple bounds.