摘要
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。笔者根据多分辨分析的思想,提出了一种任意分辨率下的曲线光顺新方法。该方法以准均匀三次B样条曲线为研究对象,构造出相应的曲线光顺滤波器组,并推导了相应的快速算法,最后对B样条基函数及滤波器组的归一化进行了详细的阐述。该算法成功应用于具有任意控制顶点数的B样条曲线的光顺。
When wavelets analysis is used to reverse engineering, it asks for specific number of control vertices, as a result, it can only treat the curve with 2j ＋ r control vertices. According to thread of multiresolution analysis （MRA）, a new arbitrary resolution fairing algorithm to curve with any amount of control vertices is put forward. And corresponding curve fairing filter bank and rapid algorithm on quasi-uniform cubic B-Spline curve is deduced. Finally, the standardizations of B-Spline basis functions and filter bank are expounded in details. This new algorithm is applied to a quasi-uniform cubic B-Spline curve with any amount of control vertices successfully and proved to be accurate, stable, and efficient by the given examples.
出处
《机械科学与技术》
CSCD
北大核心
2009年第11期1477-1481,共5页
Mechanical Science and Technology for Aerospace Engineering
基金
国防十五预研项目(41318.1.1.7)资助
