| 二次C-曲线研究 |
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| 引用本文： | 郭清伟,陈国琪.二次C-曲线研究[J].大学数学,2006,22(1):34-37. |
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| 作者姓名： | 郭清伟 陈国琪 |
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| 作者单位： | 合肥工业大学,理学院,合肥,230009 |
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| 基金项目： | 国家自然科学基金(60473114) |
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| 摘 要： | 给出具有相同控制顶点的二次C-曲线与二次有理Bézier曲线表示同一参数曲线段的充要条件,由此得到了二次C-曲线不能精确表示双曲线段的结论;另外,还给出了二次C-曲线在任意一点的细分公式.
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| 关 键 词： | 二次C-曲线 二次有理Bézier曲线 细分 |
| 文章编号： | 1672-1454（2006）01-0034-04 |
| 修稿时间： | 2004年11月29 |
The Study of Quadric C-Curves |
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| GUO Qing-wei,CHEN Guo-qi.The Study of Quadric C-Curves[J].College Mathematics,2006,22(1):34-37. |
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| Authors: | GUO Qing-wei CHEN Guo-qi |
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| Abstract: | A sufficient and essential condition,which the quadric C-curve and the quadric rational Bézier curve represent a same quadric curve,is obtained if the control points of the quadric C-curve are the same as the ones of the quadric rational Bézier curve.By this sufficient and essential condition,we conclude that the quadric C-curve can not accurately represent the hyperbola.Furthermore,the subdivision formula of the quadric C-curve is presented at its arbitrary point. |
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| Keywords: | quadric C-curve quadric rational Bézier curve subdivision |
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