%0 Journal Article
%T PDE Surface Generation with Combined Closed and Non-Closed Form Solutions
%A Jian-jun Zhang
%A Li-Hua You
%A <br>Jian-JunZhang
%A Li-HuaYou
%J 计算机科学技术学报
%D 2004
%I 
%X Partial differential equations (PDEs) combined with suitably chosen boundary conditions are effective in creating free form surfaces. In this paper, a fourth order partial differential equation and boundary conditions up to tangential continuity are introduced. The general solution is divided into a closed form solution and a non-closed form one leading to a mixed solution to the PDE. The obtained solution is applied to a number of surface modelling examples including glass shape design, vase surface creation and arbitrary surface representation.
%K surface generation
%K combined solution
%K fourth order partial differential equation
%K geometric modelling<br>表面发生
%K PDE
%K 几何模型
%K 图形设计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=F57FEF5FAEE544283F43708D560ABF1B&aid=C787619B401B6EBD9BFC1154BDD552E2&yid=D0E58B75BFD8E51C&vid=2A8D03AD8076A2E3&iid=94C357A881DFC066&sid=2B25C5E62F83A049&eid=2B25C5E62F83A049&journal_id=1000-9000&journal_name=计算机科学技术学报&referenced_num=0&reference_num=20