| 基于曲率单调均匀变化约束的曲线光顺方法 |
| |
| 引用本文： | 高斌,宋小文,胡树根,俞小莉.基于曲率单调均匀变化约束的曲线光顺方法[J].农业机械学报,2007,38(8):145-148. |
| |
| 作者姓名： | 高斌 宋小文 胡树根 俞小莉 |
| |
| 作者单位： | 1. 温州职业技术学院机械系,325035,浙江省温州市
2. 浙江大学机械与能源工程学院,310027,杭州市 |
| |
| 基金项目： | 教育部留学回国人员科研启动基金 |
| |
| 摘 要： | 曲线曲率变化图是一种分析曲线光顺性的常用方法。提出了一种基于曲率变化约束的平面B样条曲线光顺方法:通过目标曲率云图方便地确定目标曲线的曲率变化趋势及拐点、曲率极值点的大致分布,在光顺过程中通过曲率单调性约束条件反映这些信息;目标函数考虑了曲线段的离散能量及和原始曲线的误差控制,从而使得光顺后的结果曲线曲率不仅单调变化,且曲率变化比较均匀,最后以实例验证了算法的有效性。
|
| 关 键 词： | 曲线光顺 B样条曲线 曲率单调变化 曲率均匀变化 |
| 修稿时间： | 2006-10-14 |
Fairing B-spline Curves with Curvature Variation Constraints |
| |
| Gao Bin,Song Xiaowen,Hu Shugen,Yu Xiaoli.Fairing B-spline Curves with Curvature Variation Constraints[J].Transactions of the Chinese Society of Agricultural Machinery,2007,38(8):145-148. |
| |
| Authors: | Gao Bin Song Xiaowen Hu Shugen Yu Xiaoli |
| |
| Abstract: | The curve curvature variation plot is a common method for analyzing curve quality.An intuitive and efficient planar B-spline curves fairing method with curvature variation was brought forward.The trend of curvature monotone variety and the location of curvature extremum points and inflection points and flat points were designed by using target curvature plot.Minimization of discrete points' energy of curve segments and the difference between faired curve and original curve was regarded as objective function of curve fairing optimization algorithm,and the information(the trend of curvature monotone variety for every curve segment) provided by target curvature plot reflecting design intent has been treated as constraint condition of curve fairing optimization algorithm.This algorithm made faired curve curvature monotone and equable variation.Finally,an example verified the validity of this algorithm. |
| |
| Keywords: | Curve fairing B-spline curve Monotone curvature variation Equable curvature variation |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《农业机械学报》浏览原始摘要信息 |
| 点击此处可从《农业机械学报》下载免费的PDF全文 |
|
