| 参数凸曲线的性质及拐点判别算法 |
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| 引用本文： | 方逵,朱幸辉,吴泉源,王兴波. 参数凸曲线的性质及拐点判别算法[J]. 计算机工程与应用, 2010, 46(23): 188-189. DOI: 10.3778/j.issn.1002-8331.2010.23.053 |
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| 作者姓名： | 方逵 朱幸辉 吴泉源 王兴波 |
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| 作者单位： | 1.湖南农业大学 信息科学技术学院，长沙 410128 2.国防科技大学 计算机学院，长沙 410073 |
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| 基金项目： | 国家自然科学基金，湖南科技计划项目 |
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| 摘 要： | 依据参数曲线凸性的原始几何定义，讨论了参数曲线的局部凸和全局凸性，得到了参数曲线局部凸和全局凸的若干性质。给出了参数曲线的拐点定义，讨论了参数曲线的拐点与局部性之间的关系，导出了参数曲线拐点判别的充要条件及算法。
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| 关 键 词： | 局部凸性 全局凸性 拐点 相对曲率 |
| 收稿时间： | 2009-02-09 |
| 修稿时间： | 2009-3-30 |
Inflection points algorithm and properties of parametric convex curves |
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| FANG Kui,ZHU Xing-hui,WU Quan-yuan,WANG Xing-bo. Inflection points algorithm and properties of parametric convex curves[J]. Computer Engineering and Applications, 2010, 46(23): 188-189. DOI: 10.3778/j.issn.1002-8331.2010.23.053 |
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| Authors: | FANG Kui ZHU Xing-hui WU Quan-yuan WANG Xing-bo |
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| Affiliation: | 1.College of Information Science & Technology，Hunan Agricultural University，Changsha 410128，China 2.School of Computer Science，National University of Defense Technology，Changsha 410083，China |
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| Abstract: | Based on the original geometrical definition of the convexity for planar parametric curve,the local and global con-vexity are discussed,and a few properties are obtained.In addition,the definition of inflection point is given,the relationship of local convexity and inflection points of planar parametric curve is discussed,a necessary and sufficient condition is presented for the distinguishable condition of inflection points. |
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| Keywords: | local convexity global convexity inflection points relative curvature |
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