| 圆域B样条曲线的节点去除 |
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| 引用本文： | 翁彬,潘日晶.圆域B样条曲线的节点去除[J].计算机辅助设计与图形学学报,2006,18(7):924-928. |
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| 作者姓名： | 翁彬 潘日晶 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福州,350007 |
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| 摘 要： | 在圆域算术的基础上,引入了圆域B样条曲线的概念,并讨论了它的一些基本性质.研究了圆域B样条曲线的节点去除问题,即用去除一个节点后的圆域B样条曲线包住原曲线,采用拟线性规划和最佳逼近2种方法,分别给出了该问题的解析解.
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| 关 键 词： | B样条曲线 节点去除 圆域B样条曲线 拟线性规划 最佳逼近 |
| 收稿时间： | 2005-07-08 |
| 修稿时间： | 2005-11-08 |
Knot-Removal of Disk B-Spline Curves |
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| Weng Bin,Pan Rijing.Knot-Removal of Disk B-Spline Curves[J].Journal of Computer-Aided Design & Computer Graphics,2006,18(7):924-928. |
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| Authors: | Weng Bin Pan Rijing |
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| Affiliation: | School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007 |
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| Abstract: | Based on the disk arithmetic, we proposed disk B-spline curves, and discussed their some properties. We also studied the knot-removal problem of the disk B-spline curves, that is, bounding a disk B-spline curve with an one-knot-removed disk B-spline curve. Two methods were proposed to solve the problem, both of them can get the analytic solution. |
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| Keywords: | B-spline curve knot-removal disk B-spline curve pseudo linear programming optimal approximation |
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