| 两相邻三次非均匀B样条曲线近似合并的一种方法 |
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| 引用本文： | 梁清清. 两相邻三次非均匀B样条曲线近似合并的一种方法[J]. 合肥工业大学学报(自然科学版), 2006, 29(1): 126-128 |
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| 作者姓名： | 梁清清 |
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| 作者单位： | 合肥工业大学理学院,安徽,合肥,230009 |
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| 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。
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| 关 键 词： | 近似合并 矩阵表示 最小二乘范数 |
| 文章编号： | 1003-5060(2006)01-0126-03 |
| 修稿时间： | 2004-12-28 |
Method of approximate merging two adjacent cubic non-uniform B-spline curves |
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| LIANG Qing-qing. Method of approximate merging two adjacent cubic non-uniform B-spline curves[J]. Journal of Hefei University of Technology(Natural Science), 2006, 29(1): 126-128 |
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| Authors: | LIANG Qing-qing |
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| Abstract: | By means of minimizing the L__2 norm distance function of two cubic non-uniform B-spline curves,herein proposed is a new approach of approximating by merging two adjacent cubic non-uniform B-spline curves into a single cubic non-uniform B-spline curve.Then the 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. |
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| Keywords: | approximate merging matrix representation least squares norm |
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