基于半正交B样条小波的任意控制顶点数曲线光顺  

Curve Fairing with Arbitrary Number of Control Vertices by Semi-Orthogonal B-Spline Wavelets

作　　者：纪小刚[1] 龚光容[1] 

机构地区：[1]南京理工大学机械工程学院,江苏南京210094

出　　处：《工程图学学报》2006年第2期90-95,共6页Journal of Engineering Graphics

基　　金：国防十五预研资助项目(41318.1.1.7)

摘　　要：目前,小波分析应用于逆向工程时,对控制顶点有特殊要求,只能处理2j+r个控制顶点的图形,为此提出了一种可以光顺任意控制顶点B样条曲线的小波分析新方法。在介绍B样条定义的基础上,从小波分析的定义出发,用严格的数学证明推导了任意控制顶点曲线的小波分解与重构具体算法。最后,该算法成功应用于B样条曲线的小波光顺,实例表明,该算法准确、结果稳定,效率理想。When wavelets analysis is used to reverse engineering of B-spline curves, the specific numbers of control vertices are asked, as a result, only curves with 2^j＋r control vertices can be treated. So a new wavelets analysis method which can smooth B-spline curves with arbitrary number of control vertices is presented. Based on the definition of B-spline and the definition of wavelets analysis, a wavelet decomposition and reconstruction algorithm is introduced which is deduced by strict mathematics. This new algorithm is applied to wavelets fairing of B-spline curve successfully and proved to be accurate, stable, and efficient by the given examples.

关 键 词：计算机应用 逆向工程 B样条曲线 小波 光顺 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]