%0 Journal Article
%T Generating Symbolic Interpolants for Scattered Data with Normal Vectors
%A Ming Li
%A Xiao-Shan Gao
%A Jin-San Cheng
%A <br>Ming Li
%A Xiao-Shan Gao
%A and Jin-San Cheng
%J 计算机科学技术学报
%D 2005
%I 
%X Algorithms to generate a triangular or a quadrilateral interpolant with G1-continuity are given in this paper for arbitrary scattered data with associated normal vectors over a prescribed triangular or quadrilateral decomposition. The interpolants are constructed with a general method to generate surfaces from moving Bezier curves under geometric constraints. With the algorithm, we may obtain interpolants in complete symbolic parametric forms, leading to a fast computation of the interpolant. A dynamic interpolation solid modelling software package DISM is implemented based on the algorithm which can be used to generate and manipulate solid objects in an interactive way.
%K solid modelling
%K Hermite interpolation surface
%K Bezier curve
%K sweeping curve<br>固体模型
%K Bezier曲线
%K 连续性
%K 标准向量
%K 空间分解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=F57FEF5FAEE544283F43708D560ABF1B&aid=587B34316A745F9F1D86A1B454DB6FC7&yid=2DD7160C83D0ACED&vid=A04140E723CB732E&iid=B31275AF3241DB2D&sid=0B757E9DCA0EC579&eid=3893EBCAC6700388&journal_id=1000-9000&journal_name=计算机科学技术学报&referenced_num=0&reference_num=27