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Surface Fitting with NURBS - a Gauss Newton with Trust Region Approach: 13th WSEAS International Conference on APPLIED MATHEMATICS Puerto de la Cruz, SPAIN, DEC 15-17, 2008
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics. (matematik, fscn)
Department of Mathematics, Luleå University, Sweden.
2008 (English)In: APPLIED AND COMPUTATIONAL MATHEMATICS, 2ND EDITION, AG LOANNOU THEOLOGOU 17-23, 15773 ZOGRAPHOU, ATHENS, GREECE: World Scientific and Engineering Academy and Society, 2008, p. 169-174Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
AG LOANNOU THEOLOGOU 17-23, 15773 ZOGRAPHOU, ATHENS, GREECE: World Scientific and Engineering Academy and Society, 2008. p. 169-174
Series
Mathematics and Computers in Science and Engineering
Keywords [en]
Non-linear least squares; NURBS; curve and surface fitting; reverse engineering; optimisation; Gauss-Newton
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-9520ISBN: 978-960-474-034-5 (print)OAI: oai:DiVA.org:miun-9520DiVA, id: diva2:231712
Projects
NURBS and Surface FittingAvailable from: 2009-08-17 Created: 2009-08-17 Last updated: 2013-03-25Bibliographically approved

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Gulliksson, Mårten

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