Extended Cubic Uniform B-spline and α-B-spline  

作　　者：XU Gang WANG Guo-Zhao 

机构地区：[1]Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027 P. R. China

出　　处：《自动化学报》2008年第8期980-983,共4页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of China （60773179） and the National Basic Research Program of China （973 program） （2004CB318000）

摘　　要：花键曲线和表面在 CAD 和计算机图形起一个重要作用。在这份报纸，我们建议立方的一致 B 花键的几延期。然后，我们在场插入内推的延期 -B-spline 基于新 B 花键和单个相配技术。延期的优点是他们有全球、本地的形状参数。而且，我们也在数据插值和多角形的形状变丑调查他们的应用。Spline curve and surface play an important role in CAD and computer graphics. In this paper, we propose several extensions of cubic uniform B-spline. Then, we present the extensions of interpolating α-B-spline based on the new B-splines and the singular blending technique. The advantage of the extensions is that they have global and local shape parameters. Furthermore, we also investigate their applications in data interpolation and polygonal shape deformation.

关 键 词：计算机技术 CAD 图象处理技术 几何图形 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术] TP391.72