| 一种构造三次PH曲线的几何方法 |
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| 引用本文： | 陈远宁,陈琳. 一种构造三次PH曲线的几何方法[J]. 大学数学, 2009, 25(4) |
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| 作者姓名： | 陈远宁 陈琳 |
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| 作者单位： | 安庆职业技术学院,电子信息系,安庆,246003;昆明理工大学,理学院,昆明,650093 |
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| 摘 要： | 通过给出始末两点以及对应的切线与弦线,利用三次PH曲线控制多边形的边与角之间的几何关系,通过加入辅助线,用几何方法求出控制多边形的弦长,从而构造出满足初始条件的控制多边形.在此基础上求出满足条件的三次PH曲线,并给出了数值实例.
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| 关 键 词： | PH曲线 控制多边形 几何构造 |
Geometric Method for Constructing Cubic PH Curve |
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| CHEN Yuan-ning,CHEN Lin. Geometric Method for Constructing Cubic PH Curve[J]. College Mathematics, 2009, 25(4) |
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| Authors: | CHEN Yuan-ning CHEN Lin |
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| Abstract: | Geometric relationship among Bézier control points of cubic PH curve is used to construct cubic PH curve.The initial condition is that the two points and the angles between the corresponding tangents and chord we have known,and then the length of sides of the control polygon is worked out through adding some auxiliary lines to the original graphics,finally we obtain the cubic PH curve.A numerical example is presented at last. |
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| Keywords: | PH curve control polygon geometric method |
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