| Pythagorean Bézier速端曲线及其等距线 |
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| 引用本文： | 韩西安,叶正麟,黄希利.Pythagorean Bézier速端曲线及其等距线[J].计算数学,2001,23(1):27-36. |
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| 作者姓名： | 韩西安 叶正麟 黄希利 |
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| 作者单位： | [1]装备指挥技术学院基础部，北京101416 [2]西北工业大学应用数学系，西安710072 |
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| 摘 要： | The Pythagorean Bézier hodograph curves are Bézier curves {x(t), y(t)}, whose hodograph (first-order parametric derivative) components satisfy the Phythagorean condition x'2(t) +y'2(t) = σ'(t) for some polynomial σ(t). For nth degree PB curve (n is odd), its offset curve is represented by rational Bézier curve with (2n - 1)th degree and arc length by polynomial. Specially, the properties of cubic PB curve are studied, its geometric features are discussed and its quasi-Hermite interpolating curve and GC1 composite cubic PB curve are also constructed.
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| 关 键 词： | 几何造型 几何连续 PYthAgoreAn Bezier速端曲线 |
| 修稿时间： | 1998年2月13日 |
PYTHAGOREAN B |
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| Han Xian.PYTHAGOREAN B[J].Mathematica Numerica Sinica,2001,23(1):27-36. |
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| Authors: | Han Xian |
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| Institution: | Han Xian, Ye Zhenglin, Huang Xili (Dept. of Basic Theories, Institute of Command and Technology, Beijing, 101416) (Dept. of Applicant mathematics, Northwest Polytechnical University, Xi'an, 710072) |
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