%0 Journal Article
%T Global B-Spline Approximations of Singular Real Algebraic Plane Curves<br>实平面奇异代数曲线的全局B样条逼近
%A FANG Mei-E
%A WANG Guo-Zhao
%A HE Zhi-Min
%A <br>方美娥
%A 汪国昭
%A 贺志民
%J 软件学报
%D 2006
%I 
%X This paper proposes an algorithm for globally approximating real algebraic plane curves of degree k with B-spline curves of the same degree. Each connected component is approximated with a B-spline curve. It is suitable for all irreducible real plane algebraic curves with arbitrary genus (including singular curves). This method is based on our blowup sampling method of algebraic curves, which solves the difficult problem of sampling around singular points in essence. The experimental results show that the algorithm achieves better accuracy than the existed methods.
%K real algebraic curve
%K approximation
%K sampling
%K singular point
%K blowup
%K B-spline<br>实代数曲线
%K 逼近
%K 采样
%K 奇异点
%K 胀开
%K B样条
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=6EE62489F34B9FF7&yid=37904DC365DD7266&vid=BCA2697F357F2001&iid=F3090AE9B60B7ED1&sid=48224D16AE565E7F&eid=9D10F378015F2AC2&journal_id=1000-9825&journal_name=软件学报&referenced_num=2&reference_num=14