%0 Journal Article
%T Multidegree Reduction of Bézier Curves with Conditions of Endpoint Interpolations<br>带端点插值条件的Bézier曲线降多阶逼近
%A CHEN Guo-dong
%A WANG Guo-jin
%A <br>陈国栋
%A 王国瑾
%J 软件学报
%D 2000
%I 
%X In this paper, the authors study the multidegree reduction of Bézier curves with arbitrary degree interpolation conditions of two endpoint. For the given endpoint interpolation conditions, a new approximation method of multidegree reduction is presented. Using Chebyshev polynomial approximation theory, the nearly best uniform approximation under the interpolation conditions of endpoints can be obtained. This algorithm is easy to implement and simple for error estimation. The approximation effects of the degree reduction curves are very good. Combined with subdivision algorithm, it can reach a higher rate of error convergence.
%K Endpoint interpolation
%K multidegree reduction
%K approximation
%K subdivision<br>端点插值，降多阶，逼近，分割.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=056D169A03EBC4421AFCCDB961F7230A&yid=9806D0D4EAA9BED3&vid=708DD6B15D2464E8&iid=9CF7A0430CBB2DFD&sid=C80CAAD049B5B990&eid=379827DA4720AA2A&journal_id=1000-9825&journal_name=软件学报&referenced_num=8&reference_num=11