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| 带切向控制的多结点曲线造型方法 | |
| 引用本文： | 宋瑞霞,马辉,王小春.带切向控制的多结点曲线造型方法[J].计算机辅助设计与图形学学报,2006,18(3):396-400. |
| 作者姓名： | 宋瑞霞 马辉 王小春 |
| 作者单位： | 1. 北方工业大学理学院,北京,100041 2. 澳门科技大学资讯科技学院,澳门 3. 北京林业大学理学院,北京,100083 |
| 基金项目： | 科技部科研项目;国家高技术研究发展计划(863计划);北京市教委科技基金 |
| 摘 要： | 在普通的多结点样条中加入相当于导数条件的可控参数，通过调节这些参数控制插值曲线在各型值点的切向量，从而达到满意的曲线造型效果．该方法保持了多结点样条的优越性（基数型，局部性），因此可以只对插值曲线作局部调整而不影响整体，有助于计算机辅助几何设计领域的工程人员设计、调整曲线的形状． |
| 关 键 词： | 计算机辅助几何设计 B样条 多结点样条 Kirov定理 |
| 收稿时间： | 2005-04-28 |
| 修稿时间： | 2005-06-13 |
Many-Knot Curve Construction with Controlled Tangent Vector |
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| Song Ruixia,Ma Hui,Wang Xiaochun.Many-Knot Curve Construction with Controlled Tangent Vector[J].Journal of Computer-Aided Design & Computer Graphics,2006,18(3):396-400. | |
| Authors: | Song Ruixia Ma Hui Wang Xiaochun |
| Affiliation: | 1 College of Sciences, North China University of Technology, Beijing 100041; 2 Faculty of Information Technology, Maeau University of Science and Tech . , Macao; 3 College of Sciences, Beijing Forestry University, Beijing 100083 |
| Abstract: | Some adjustable parameters are added to the general many-knot spline, a new kind of interpolating curve is constructed. At control points, we can control the tangent vectors of fitting curve by adjusting these parameters, and the better fitting result can be obtained. The scheme retains the advantages of common many-knot spline (cardinal-type, local-property), it can help engineers in CAGD applications to design and locally adjust the fitting curve. KH-*2] |
| Keywords: | CAGD B-spline many-knot spline Kirov theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
