准均匀B样条曲面的多分辨率表示及应用  

Multiresolution representations and applications of quasi-uniform B-spline surfaces

作　　者：孙永辉[1] 姜昱明[1] 

机构地区：[1]西安电子科技大学计算机学院,陕西西安710071

出　　处：《计算机工程与设计》2003年第9期84-86,93,共4页Computer Engineering and Design

摘　　要：在多分辨率曲线和曲面造型中,B样条小波已经得到了广泛应用。曲线和曲面的多分辨率造型成为一个研究热点。通过阐述准均匀B样条曲线曲面的基于小波分解的多分辨率表示的数学原理,给出了具体的曲线和曲面小波分解算法和实验结果,说明了准均匀B样条曲面多分辨表示的优点及其在工业上的应用。B-spline wavelet has been widely used in multiresolution modeling for curves and surfaces, which has been a researching hot recently. This paper sets forth the mathematics theory of the multiresolution representations of quasi_uniform B-spline surface on the basis of wavelet decomposition, and a discription of this algorithm is given, then the correspongding experiment results are provided. At last its advantage and application in industry are simply discussed.

关 键 词：CAGD 计算机辅助设计 B样条曲面 多分辨率表示 小波变换 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]