%0 Journal Article
%T Approximating to Nonparameterzied Minimal Surface with B-Spline Surface<br>B-样条函数极小曲面造型
%A MAN Jia-Ju
%A WANG Guo-Zhao
%A <br>满家巨
%A 汪国昭
%J 软件学报
%D 2003
%I 
%X The minimal surfaces have been extensively employed in many areas such as architecture, aviation, ship manufacture, and so on. However, the complexity of the minimal surface equation prevents people from modeling the minimal surface in CAD/CAGD. In this paper, based on the nonlinear programming and the FEM (finite element method), the approximation to the solution of the minimal surface equation bounded by Bézier or B-spline curves is investigated. A global method, which is called numerical extension method, is appealed to in the whole iterative process and linearize the nonlinear finite element system by using a simple iteration. Some numerical results are given in this paper.
%K 极小曲面
%K Bézier曲面
%K B-样条曲面
%K 数值延拓
%K 有限元
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=6797AFC3DB48B64C&yid=D43C4A19B2EE3C0A&vid=F3583C8E78166B9E&iid=E158A972A605785F&sid=8A03DD854A27B60D&eid=C81F81170838C444&journal_id=1000-9825&journal_name=软件学报&referenced_num=10&reference_num=15