Surface fitting with NURBS: a gauss Newton with trust region approach
作者： Nils Carlson , Mårten Gulliksson , None
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摘要: 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 reach global convergence well variable substitution simple bounds.
acm.org 参考文章(10)
George Labahn, Wolfgang Heidrich, Richard Bartels, Fitting Uncertain Data with NURBS ,(1997)
Stephen G. Nash, Ariela Sofer, Linear and Nonlinear Programming ,(1987)
Michael S. Floater, Kai Hormann, Surface Parameterization: a Tutorial and Survey Advances in Multiresolution for Geometric Modelling. pp. 157- 186 ,(2005) , 10.1007/3-540-26808-1_9
J. E. Dennis, Robert B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16) Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16). ,(1996)
Thomas Speer, Markus Kuppe, Josef Hoschek, Global reparametrization for curve approximation Computer Aided Geometric Design. ,vol. 15, pp. 869- 877 ,(1998) , 10.1016/S0167-8396(98)00024-7
Jiang Dan, Wang Lancheng, An algorithm of NURBS surface fitting for reverse engineering The International Journal of Advanced Manufacturing Technology. ,vol. 31, pp. 92- 97 ,(2006) , 10.1007/S00170-005-0161-3
Pascal Laurent-Gengoux, Mounib Mekhilef, Optimization of a NURBS representation Computer-aided Design. ,vol. 25, pp. 699- 710 ,(1993) , 10.1016/0010-4485(93)90011-C
Wenping Wang, Helmut Pottmann, Yang Liu, Fitting B-spline curves to point clouds by curvature-based squared distance minimization ACM Transactions on Graphics. ,vol. 25, pp. 214- 238 ,(2006) , 10.1145/1138450.1138453
Zhongwei Yin, Reverse engineering of a NURBS surface from digitized points subject to boundary conditions Computers & Graphics. ,vol. 28, pp. 207- 212 ,(2004) , 10.1016/J.CAG.2003.12.007
Wayne Tiller, Les Piegl, The NURBS book (2nd ed.) Springer-Verlag New York, Inc.. ,(1997)