%0 Journal Article
%T Research of whole fairing and approximation algorithm of NURBS curve<br>NURBS曲线整体光顺逼近算法研究
%A LAN Hao
%A LI De-xin
%A <br>兰浩
%A 李德信
%J 计算机应用
%D 2008
%I 
%X With regard to the accuracy and smoothness of a set of discrete data points approximation, this paper gave a whole fairing and approximation algorithm of cubic Non-Uniform Rational B-Spline (NURBS) curve. The algorithm constructed an objective function composed of least square, sum of curvatures on discrete points and sum of curvature varieties on discrete points, obtained a series of the best control points, adjusted weights using nonlinear optimization method, set up an approximation approach to verify the fitting errors and constructed a calculation procedure. At last, this paper displayed and analyzed the obtained curve in UG NX 4.0.
%K gene algorithm
%K approximation
%K nurbs
%K least square
%K second-order difference<br>非均匀有理B样条
%K 最小二乘
%K 二阶差分
%K 遗传算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=831E194C147C78FAAFCC50BC7ADD1732&aid=CB00C73D8D425951985696F5D2D2B332&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=CA4FD0336C81A37A&sid=7EBE588F611589FC&eid=DD74772618543076&journal_id=1001-9081&journal_name=计算机应用&referenced_num=0&reference_num=5