| 区间B样条曲线的降阶 |
| |
| 引用本文： | 陈发来,杨霄锋,杨武.区间B样条曲线的降阶[J].软件学报,2002,13(4):490-500. |
| |
| 作者姓名： | 陈发来 杨霄锋 杨武 |
| |
| 作者单位： | 中国科学技术大学,数学系,安徽,合肥,230026 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No.19971087 (国家自然科学基金); the National Grand Fundamental Research 973 Program of China under Grant No.G1998030600 (国家重点基础研究发展规划973项目); a Grant for Distinguished |
| |
| 摘 要： | 提出了区间B样条曲线的降阶问题,并给出了两种不同的降阶方法:整体降阶法与分段降阶法.给出了两个实例来说明算法,并比较了两种算法的优劣.实验结果表明,无论对均匀区间B样条曲线还是非均匀区间B样条曲线,分段降阶方法比整体降阶方法都更有效,而且能得到更紧的降阶区间B样条曲线.
|
| 关 键 词： | 区间B样条曲线 区间运算 降阶 移去节点 |
| 收稿时间： | 2001/4/26 0:00:00 |
| 修稿时间： | 2001/10/31 0:00:00 |
Degree Reduction of Interval B-Spline Curves |
| |
| CHEN Fa-lai,YANG Xiao-feng and YANG Wu.Degree Reduction of Interval B-Spline Curves[J].Journal of Software,2002,13(4):490-500. |
| |
| Authors: | CHEN Fa-lai YANG Xiao-feng and YANG Wu |
| |
| Abstract: | Two different algorithmic approaches, the integral method and the piecewise degree reduction method, to the degree reduction of interval B-spline curves are presented. Examples are provided to demonstrate the algorithms and to compare the two different approaches. The experimental results show that the piecewise degree reduction method is generally more efficient and produces tighter bound than the integral method. |
| |
| Keywords: | interval B-spline curve interval arithmetic degree reduction knot removal |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《软件学报》浏览原始摘要信息 |
|
点击此处可从《软件学报》下载全文 |
