| 带形状参数的三阶三角Bézier多项式曲线 |
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| 引用本文： | 王晶昕,冯美玲.带形状参数的三阶三角Bézier多项式曲线[J].辽宁师范大学学报(自然科学版),2014(1):1-5. |
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| 作者姓名： | 王晶昕 冯美玲 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连116029 |
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| 基金项目： | 基金项目：国家自然科学基金项目（11226326） |
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| 摘 要： | 分析讨论两类三阶三角Bézier多项式基函数的构造方法和基本性质,给出两类三阶三角Bézier多项式曲线的定义.利用含调节参数的控制点的变换构造带四个形状参数的三阶三角Bézier多项式曲线并且研究该曲线与两类三阶三角Bézier多项式曲线的关系.这种曲线实质上是根据已知的四个控制点的位置生成6个带有调节参数的新的控制点,利用参数的调节来改变控制点的位置从而达到影响曲线的形状的目的.
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| 关 键 词： | 控制点 三阶三角Bézier多项式 形状参数 |
Third-order trigonometric B＆#233;zier polynomial curves with parameters |
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| WANG Jingxin,FENG Meiling.Third-order trigonometric B＆#233;zier polynomial curves with parameters[J].Journal of Liaoning Normal University(Natural Science Edition),2014(1):1-5. |
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| Authors: | WANG Jingxin FENG Meiling |
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| Institution: | (School of Mathematics, Liaoning Normal University, Dalian 116029, China) |
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| Abstract: | Two types of third-order trigonometric B＆#233;zier polynomial basis function were analyzed and constructed .By transforming control points to get new control points ,third-order trigonometric B＆#233;zier polynomial curves with four parameters can be construct-ed .The relationship between third-order trigonometric B＆#233;zier polynomial curves with parameters and two types of third-order trigono-metric B＆#233;zier polynomial curves have been studied .In essence ,they are constructed with 6 new con-trol points got in terms of original 4 control points .When the parameters value change ,the positions of new control points would be changed dependently .Thus the shape of the curve can be changed to satisfy the given condition . |
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| Keywords: | control points third-order trigonometric B＆#233 zier polynomial curve parameters |
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