| 类Bézier的二次参数三角曲线 |
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| 引用本文： | 吴晓勤,唐运梅,韩旭里. 类Bézier的二次参数三角曲线[J]. 湖南科技大学学报(自然科学版), 2003, 18(2): 76-79 |
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| 作者姓名： | 吴晓勤 唐运梅 韩旭里 |
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| 作者单位： | 1. 湖南科技大学,数学与软件研究所,湖南,湘潭,411201
2. 中南大学,应用数学与软件系,湖南,长沙,410083 |
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| 摘 要： | 给出了一种类似Bzier曲线的二次参数三角曲线,其基函数由一组带有两个参量的二次三角函数组成。由3个顶点控制的曲线插值于起点和末点,曲线具有可调性且更逼近于控制多边形;在适当的条件下,曲线可精确表示抛物线、圆弧、椭圆弧。因此,该曲线可应用于曲线曲面的造型。图4;参10。
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| 关 键 词： | Bzier曲线 三角曲线 Ferguson曲线 |
| 文章编号： | 1000-9930(2003)02-0076-04 |
| 修稿时间： | 2002-09-14 |
Trigonometric curve of the quadratic parametric of analogous to Bézier curve |
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| WU Xiao-qin,TANG Yun-mei,HAN Xu-li. Trigonometric curve of the quadratic parametric of analogous to Bézier curve[J]. Journal of Hunan University of Science & Technology(Natural Science Editon), 2003, 18(2): 76-79 |
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| Authors: | WU Xiao-qin TANG Yun-mei HAN Xu-li |
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| Abstract: | A kind of quadratic parametric trigonometric curve is presented on special quadratic trigonometric basis, which basis functions have two parameters. The curve that interpolates start point and end point is analogous to Bezier curve, furthermore it's adjustable and approximate. In the proper conditions, it provides exact reproduction of parabola and elliptic arc. Hence, it could be used to free form curves and surfaces modeling. 4figs. ,10refs. |
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| Keywords: | Bezier curve trigonometric curve ferguson curve |
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