| 基于广义逆节点消去的B样条曲线的可控逼近 |
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| 引用本文： | 黄健民,施法中.基于广义逆节点消去的B样条曲线的可控逼近[J].计算机工程与应用,2006,42(13):80-83. |
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| 作者姓名： | 黄健民 施法中 |
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| 作者单位： | 1. 北京航空航天大学机械工程与自动化学院,北京,100083;广西师范大学数学与计算机科学学院,桂林,541004
2. 北京航空航天大学机械工程与自动化学院,北京,100083 |
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| 摘 要： | 提出了一个基于节点消去的B样条曲线的逼近算法。该算法首先从插值于给定数据点的一阶B样条曲线出发,利用广义逆矩阵实现节点消去,并通过升阶、最小二乘逼近和投影修正误差等步骤,得到了与给定数据点的误差在容许范围内的逼近曲线。
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| 关 键 词： | 曲线逼近 广义逆矩阵 B样条曲线 节点消去 |
| 文章编号： | 1002-8331-（2006）13-0080-04 |
| 收稿时间： | 2005-09 |
| 修稿时间： | 2005-09 |
B-Spline Curve Approximation Based on Knots Removal |
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| Huang Jianmin,Shi Fazhong.B-Spline Curve Approximation Based on Knots Removal[J].Computer Engineering and Applications,2006,42(13):80-83. |
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| Authors: | Huang Jianmin Shi Fazhong |
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| Abstract: | Algorithm for approximating a sequence of point data,which is sampled in a curve,is presented.Doing so,we have first generated a one-degree B-spline curve interpolating the given data.Then we have removed removable knots from the knot sequence by means of theory of generalized inverse matrix.After degree lifting,least squares approximation,and projecting point data onto the current approximation to correct error,we have arrived at the desired approximation with given accuracy. |
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| Keywords: | curve approximation Moore-Penrose pseudoinverse matrix B-spline curve knot removal |
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