| 基于距离逼近的G1连续Hermite插值 |
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| 引用本文： | 徐红霞,黄有度.基于距离逼近的G1连续Hermite插值[J].合肥工业大学学报(自然科学版),2007,30(7):915-917. |
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| 作者姓名： | 徐红霞 黄有度 |
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| 作者单位： | 1. 安徽工程科技学院,应用数理系,安徽,芜湖,241000
2. 合肥工业大学,理学院,安徽,合肥,230009 |
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| 摘 要： | 文章提出了一种基于距离逼近的切向量,利用这些切向量建立分片三次Hermite样条的边界条件,同时每段添加一个控制曲线松紧的张量参数,可以对曲线进行局部修改;给出了该曲线C2连续的条件,并给出插值函数保凸的充分必要条件及曲线的逼近误差;通过实例把Cardinal方法和本文方法作了比较。
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| 关 键 词： | 基于距离逼近 切向量 Cardinal样条 Hermite插值 自相交 |
| 文章编号： | 1003-5060(2007)07-0915-03 |
| 修稿时间： | 2006年5月20日 |
Distance-based approximated Hermite interpolation with G1 continuity |
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| XU Hong-xia,HUANG You-du.Distance-based approximated Hermite interpolation with G1 continuity[J].Journal of Hefei University of Technology(Natural Science),2007,30(7):915-917. |
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| Authors: | XU Hong-xia HUANG You-du |
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| Abstract: | A kind of distance-based approximated tangent vector is defined and used to construct the boundary condition of piecewise cubic Hermite splines.A tension parameter is added to every piece of the curve to control the curve.The C2 continuous condition of the curve is described,and the relationship between the tangent vector and self-intersection is studied.The approximation condition that the curve approximates to the control polygon is presented.An example is given to compare the cardinal method with the distance-based approximated Hermite interpolation. |
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| Keywords: | distance-based approximation tangent vector cardinal spline Hermite interpolation self-intersection |
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