%0 Journal Article
%T COMPUTING INTEGRAL VALUES INVOLVING NURBS CURVES<br>NURBS曲线相关积分量的计算方法
%A Wang Guojin
%A <br>王国瑾
%J 软件学报
%D 1996
%I 
%X This paper presents an algorithm for computing quantities involving integration of NURBS curves, such as areas, volumes of revolution, first moments of area, centroids etc., of regions bounded by plane NURBS curves. For quadratic NURBS curves,closed form integral solutions are derived, thus all integral values can be directly obtaind by the coordinates of control points and weights without approximation error. For cubic NURBS curves, an approximation method is given, which provides a simple error bound and has a speed advantage for small tolerance.
%K Computer aided geometric design
%K NURBS
%K integration
%K area
%K volume of revolution
%K moments of area<br>计算机辅助几何设计
%K 非均匀有理B样条
%K 积分
%K 面积
%K 旋转体体积
%K 面积矩
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=1A27234AE77F97068CB6E41B71FBE0E0&yid=8A15F8B0AA0E5323&vid=DF92D298D3FF1E6E&iid=9CF7A0430CBB2DFD&sid=8C044EC256B1039D&eid=DEBDB7F30FBA7F9B&journal_id=1000-9825&journal_name=软件学报&referenced_num=0&reference_num=10