摘要
从两非均匀三次B-样条曲线间的最小二乘范数下的距离函数中取最小值,给出了把两相邻三次非均匀B样条合并成一条三次非均匀B样条曲线的新方法,得到了用矩阵表示的合并曲线的控制顶点的显式表达式;图例显示,该方法所确定的合并曲线对原曲线有较好的逼近效果。
By means of minimizing the L2 norm distance function of two curves,herein proposed is a new approach of approximating by merging form B-spline curves into a single cubic non-uniform B-spline curve. Then cubic nonuniform B-spline two adjacent cubic non-unithe explicit formulas of control points of the merged curve are obtained which are expressed by the matrix form. Some examples are given to illustrate the effect of the presented method. It can be seen easily that the merged curve approximates the original curves well.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期126-128,共3页
Journal of Hefei University of Technology：Natural Science
关键词
近似合并
矩阵表示
最小二乘范数
approximate merging
matrix representation
least squares norm
