摘要
曲面重构是逆向工程中的关键技术.根据非均匀有理B样条曲面矩阵表达式,对于造型曲面上的(2m+1)×(2n+1)个型值数据点,推导了一个仅利用型值点数据反算二次非均匀有理B样条曲面控制顶点的算法.数值算例表明了该算法的有效性.
Surface reconstruction is the key technologies of reverse engineering. For the （2m ＋ 1） × （2n ＋ 1）data, points of a surface, an interpolation algorithm for quadratic NURBS surface is presented with the aid of matrix representation of NURBS surface and only the data points are made use of to solve control vertices. Efficiency of the algorithm has been demonstrated by numerical example.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第1期61-65,共5页
Mathematics in Practice and Theory
基金
河南省自然科学基金(0611052000)
河南省教育厅自然科学基金(200510485012)
