| 用边界曲线构造C~1 Coons曲面确定扭矢的方法 |
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| 引用本文： | 陈辉,张彩明.用边界曲线构造C~1 Coons曲面确定扭矢的方法[J].高校应用数学学报(A辑),1998(Z1). |
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| 作者姓名： | 陈辉 张彩明 |
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| 作者单位： | 山东大学计算机科学系 |
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| 摘 要： | 本文讨论了由四条边界曲线构造Ｃ１Ｃｏｏｎｓ曲面的问题，给出了确定角点扭矢的新方法．该方法沿四边形两对角线方向构造两条四次多项式曲线，每个角点处的扭矢，由一条四次曲线和两条边界曲线确定．跨界切矢由三次埃尔米特插值方法定义．文中还给出了一个用新方法构造曲面的实例．
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| 关 键 词： | Coons曲面，插值，扭矢，边界曲线 |
A METHOD FOR DETERMINING TWIST IN CON STRUCTING C 1 COONS SURFACE TO INTERPOLATE BOUNDARY CURVES |
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| Chen Hui\ Zhang Caiming.A METHOD FOR DETERMINING TWIST IN CON STRUCTING C 1 COONS SURFACE TO INTERPOLATE BOUNDARY CURVES[J].Applied Mathematics A Journal of Chinese Universities,1998(Z1). |
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| Authors: | Chen Hui\ Zhang Caiming |
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| Abstract: | This paper presents a new method for defining the twist in constructing C 1 Coons surface to interpolate four given boundary curves.For defining the twist,two quartic polynomial curves are constructed along the two diagonal lines of the four sided region.Each twist on the corner point is defined by a quartic polynomial curve and two boundary curves.The cross boundary slope conditions of the surface are defined by cubic Hermite method.An example of constructing surface using the new method is also included. |
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| Keywords: | Coons Surface Interpolation Twist Boundary Curves |
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