%0 Journal Article
%T 3D Geometric Constraint Solving with Conicoid<br>用圆锥曲面求解几何约束问题
%A JIANG Kun
%A GAO Xiao-shan
%A <br>蒋鲲
%A 高小山
%J 软件学报
%D 2002
%I 
%X In general, most 3D parametric design systems use plane and sphere as basic tools to draw a three-dimensional diagram. In this paper, we introduce a class of new drawing tools: conicoid. The scope of three-dimensional diagram that can be drawn with conicoid is strictly larger than that with plane and sphere only. We prove that a diagram can be drawn with conicoid sequentially if and only if it can be described by a set of triangular equations of degree less than nine. Spatial Appolonius drawing problems can be completely solved with conicoid.
%K geometric constraint solving
%K conicoid
%K parametric CAD<br>几何约束求解
%K 圆锥曲面
%K 参数化CAD
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=1235793FF3DD89E4&yid=C3ACC247184A22C1&vid=FC0714F8D2EB605D&iid=E158A972A605785F&sid=BE5DBC360CD4FFB9&eid=F176272DD933A0BB&journal_id=1000-9825&journal_name=软件学报&referenced_num=0&reference_num=14