| 与给定多边形相切的C 3连续B3样条曲线 |
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| 引用本文： | 王成伟.与给定多边形相切的C 3连续B3样条曲线[J].工程图学学报,2002,23(1):104-108. |
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| 作者姓名： | 王成伟 |
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| 作者单位： | 北京服装学院基础课部,北京,100029 |
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| 摘 要： | 描述了一种与给定多边形相切的B3样条曲线的算法。在算法中，所有的B3样条曲线的控制点可以通过对多边形的顶点简单计算产生，所构造的曲线对多边形具有保形性，曲线可以局部修改，最后给出了两个算例。
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| 关 键 词： | 计算机辅助几何设计 B3样条曲线 多边形 CAD 数值逼近 |
| 文章编号： | 1003-0158(2002)01-0104-05 |
| 修稿时间： | 2001年5月18日 |
C 3 Continuous B3-spline Curve with Given Tangent Polygon |
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| WANG Cheng-wei.C 3 Continuous B3-spline Curve with Given Tangent Polygon[J].Journal of Engineering Graphics,2002,23(1):104-108. |
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| Authors: | WANG Cheng-wei |
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| Abstract: | In this paper, an algorithm for constructing B3-spline curve which is tangent to the given polygon is described. The control points of the B3-spline to be constructed are computed simply by the vertices of the given polygon. The constructed curve is shape-preserving to the polygon. The local modification to the B3-spline curve can be completed by simply adjusting the corresponding control parameters. Two examples are given. |
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| Keywords: | CAGD B3-spline polygon |
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