%0 Journal Article
%T Smooth Spline Surfaces over Arbitrary Topological Triangular Meshes<br>在任意拓扑三角形网格上的光滑样条曲面
%A FENG Ren-Zhong
%A WANG Ren-Hong
%A <br>冯仁忠
%A 王仁宏
%J 软件学报
%D 2003
%I 
%X The paper introduces an algorithm for creating smooth spline surfaces over control triangular meshes capable of outlining arbitrary free-form surfaces with or without boundary. The resulting surface has a degree 4 parametric polynomial representation and is represented as a network of tangent plane continuous triangular Bézier patches. The approximation of resulting surface to mesh is controlled by a blend ratio; when the blend ratio is zero, surfaces interpolate meshes. The algorithm is a local method, simple, efficient and fit for appearance design.
%K spline surface
%K control triangular mesh
%K triangular Bezier patch
%K geometric continuity
%K blend ratio<br>样条曲面
%K 控制三角形网格
%K 三角形Bézier片
%K 几何连续性
%K 混合比
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=73489283418FC028&yid=D43C4A19B2EE3C0A&vid=F3583C8E78166B9E&iid=E158A972A605785F&sid=CE16DE2ABCD4D365&eid=2C8B50BA95995EA2&journal_id=1000-9825&journal_name=软件学报&referenced_num=0&reference_num=11