Title :
The GCV method in optimal B-spline surface fairness
Author :
Liu Huayong ; Wang Huanbao
Author_Institution :
Dept. of Sci. & Phys., Anhui Univ. of Archit., Hefei, China
Abstract :
This paper presents a GCV method to the problem of reconstructing a free form curve and surface from measurement data. The GCV method provides a data driven fairness parameter which is an important factor in the energy constrained LSQ approximation. The GCV method is better than the experimental LSQ approximation in several aspects: first, it is optimal; second, it is reliable; third, it is faster. Detailed algorithms are presented which calculate the optimal fairness surface to a prescribed error tolerance.
Keywords :
CAD; engineering graphics; least squares approximations; splines (mathematics); GCV method; data driven fairness parameter; energy constrained LSQ approximation; generalized cross validation; least square approximation; optimal B-spline surface fairness; optimal fairness surface; prescribed error tolerance; Artificial neural networks; Clouds; Least squares approximation; Smoothing methods; Spline; Surface fitting; B-spline; CAGD; Fairing; GCV; Point Clouds;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
