| 带有给定切线多边形的三次B样条曲线的扩展 |
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| 引用本文： | 王成伟,董庆华.带有给定切线多边形的三次B样条曲线的扩展[J].北京服装学院学报,2009,29(3). |
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| 作者姓名： | 王成伟 董庆华 |
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| 作者单位： | 北京服装学院基础教学部,北京,100029;北京服装学院基础教学部,北京,100029 |
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| 基金项目： | 北京市属市管高等学校人才强教计划资助项目 |
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| 摘 要： | 描述了一种与给定多边形相切的三次均匀B样条曲线的扩展算法.在算法中,所有的三次均匀B样条曲线的扩展曲线的控制点可以通过对多边形的顶点进行简单计算产生.所构造的曲线对多边形具有保形性,而且曲线可以局部修改.最后给出了2个算例.
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| 关 键 词： | CAGD 样条曲线 多边形 形状参数 |
An Extension of the Cubic B-Spline Curve with Given Tangent Polygon |
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| WANG Cheng-wei,DONG Qing-hua.An Extension of the Cubic B-Spline Curve with Given Tangent Polygon[J].Journal of Beijing Institute of Clothing Technology(Nature Science Edition),2009,29(3). |
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| Authors: | WANG Cheng-wei DONG Qing-hua |
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| Affiliation: | WANG Cheng-wei,DONG Qing-hua (Department of Fundamental Courses,Beijing Institute of Fashion Technology,Beijing 100029,China) |
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| Abstract: | An algorithm for constructing an extension of the cubic uniform B-spine curve which was tangent to the given polygon was described.The control points of the an extension of the cubic uniform B-spine curve to be constructed were computed simply by the vertices of the given polygon.The constructed curve was shape-preserving to the polygon.The local modification to the rational spline curve could be completed by simply adjusting the corresponding control parameters.Two examples were given. |
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| Keywords: | CAGD |
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