%0 Journal Article
%T Analysis and Control of Shape Variation of BBN Surfaces<br>BBN曲面的形状分析与控制
%A WANG Xing-bo
%A <br>王兴波
%J 软件学报
%D 2002
%I 
%X In this paper, the shape variation law of Bezier surfaces, B-spline surfaces and NURBS surfaces (BBN surfaces) is investigated under the modification of a control point of the surfaces. The relationship between the geometric elements of the surface before and after deformation and the deforming displacement is built up by decomposition a BBN surface into the summation of a convex surface and a surface with special shape. The law of a convex BBN surface losing its convexity is also obtained. The achievements in this paper can guide the algorithm design and shape control in CAD modeling.
%K CAD modeling
%K parametric surface
%K shape control
%K algorithm design<br>CAD造型
%K 参数曲面
%K 形状控制
%K 算法设计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=3CC10243E7A7A879&yid=C3ACC247184A22C1&vid=FC0714F8D2EB605D&iid=E158A972A605785F&sid=EE7D0B10C851F35D&eid=D5B44BB3CCE27369&journal_id=1000-9825&journal_name=软件学报&referenced_num=2&reference_num=10