| 基于广义逆矩阵的B样条曲线的节点消去与光顺 |
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| 引用本文： | 胡海艳,吴振远. 基于广义逆矩阵的B样条曲线的节点消去与光顺[J]. 工程地球物理学报, 2010, 7(1): 106-110. DOI: 10.3969/j.issn.1672-7940.2010.01.022 |
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| 作者姓名： | 胡海艳 吴振远 |
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| 作者单位： | 中国地质大学,数学与物理学院,武汉,430074 |
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| 摘 要： | 研究了B样条曲线节点的消去问题，简化了B样条曲线内部节点精确消去的充要条件。基于广义逆矩阵方法，通过升阶和最小二乘逼近等步骤，给出了节点消去的一个新算法，并用于光顺B样条曲线。
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| 关 键 词： | 广义逆矩阵 B样条曲线 最小二乘 光顺 |
Knots Removal and Fairing for B-spline Curves |
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| Hu Haiyan,Wu Zhenyuan. Knots Removal and Fairing for B-spline Curves[J]. Chinese Journal of Engineering Geophysics, 2010, 7(1): 106-110. DOI: 10.3969/j.issn.1672-7940.2010.01.022 |
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| Authors: | Hu Haiyan Wu Zhenyuan |
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| Affiliation: | School of Mathematics and Physics;China University of Geosciences;Wuhan 430074;China |
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| Abstract: | The problem of knots removal for B-spline curves is investigated in this paper.The sufficient and necessary condition for removing knots of B-spline curves exactly is simplified.Then we have removed the removable knots from the knot sequence by means of theory of generalized inverse matrix.With the process of lifting and least squares approximation,a new algorithm of knots removal is derived by perturbing the control points of B-spline curves.This method can also be used to fair B-spline curves. |
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| Keywords: | generalized inverse matrix B-spline curves least squares fairing |
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