| 空间NURBS曲线的双圆弧逼近 |
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| 引用本文： | 林杰,潘日晶.空间NURBS曲线的双圆弧逼近[J].福建师范大学学报(自然科学版),2006,22(1):20-23,28. |
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| 作者姓名： | 林杰 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,福建,福州,350007 |
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| 基金项目： | 福建省教育厅A类科技项目（JA050207） |
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| 摘 要： | 给出了用双圆弧样条来逼近空间NURBS曲线的方法．先用折线逼近NURBS曲线，再在给定误差限内用双圆弧样条来逼近折线．在误差估计中，给出了空间线段与圆弧的距离表达式，以此来求最大误差．该方法能在给定误差限内以尽量少的双圆弧段数逼近NURBS曲线，适合数控加工等方面的应用．
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| 关 键 词： | NURBS曲线 双圆弧 逼近 |
| 文章编号： | 1000-5277（2006）01-0020-04 |
| 收稿时间： | 2005-03-23 |
| 修稿时间： | 2005-03-23 |
Biarc Approximation of Space NURBS Curves |
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| LIN Jie,PAN Ri-jing.Biarc Approximation of Space NURBS Curves[J].Journal of Fujian Teachers University(Natural Science),2006,22(1):20-23,28. |
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| Authors: | LIN Jie PAN Ri-jing |
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| Institution: | School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China |
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| Abstract: | A method for approximating arbitrary space NURBS curve with biarcs is presented. The main idea is to approximate the NURBS curve with a polygon, and then to approximate the polygon with blares within the required tolerance. In order to estimate the error, a formula for the distance between a line segment and an arc is established, and then the largest deviation distance is found. The method can approximate a NURBS curve by fewer biarc segments in the given error bound. And this is useful in the application of CNC and so on. |
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| Keywords: | NURBS curve biarcs approximation |
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