基于函数值的二元混合插值格式 |
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引用本文: | 刘文艳,王强,张养聪.基于函数值的二元混合插值格式[J].人天科学研究,2013(3):17-19. |
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作者姓名: | 刘文艳 王强 张养聪 |
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作者单位: | 安徽理工大学理学院,安徽淮南232001 |
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摘 要: | 运用插值与逼近方法解决曲线,曲面造型问题是计算机辅助几何设计最基础的课题。3/1型有理插值具有单调性、连续性、收敛性及保凸性的性质,但它的导数参数一般是未知的。利用3/1型有理插值函数与标准的三次Hermite插值进行类似于张量积的处理,并用插值节点处差商代替参数导数,构造了二元混合有理差值格式,并通过数据实例说明它在计算机辅助设计中的灵活性、有效性。
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关 键 词: | 计算机辅助设计 有理插值 函数值 插值格式 |
The Bivariate Blend Interpolation Form Based on Function Values |
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Abstract: | Applying the method of interpolation and approximation is most basic issu-es to solve curve and surface modeling on computer-aided geometric design. 3/1 ratio-hal interpolation has the nature of monotonicity, continuity, convergenceand convexity preserving, but its derivative parameters are generally unknown. In this paper, using th-e 3/1 rational interpolation function, standard cubic Hermite interpolation similar to t-he tensor product processing and difference quotientat interpolation nodes instead of the parameter derivative construct a format of bivariate blending rational dofference explain its flexibility and effectiveness in the computer-aided design through data inst-ances. |
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Keywords: | Computer-Aided Design Rational Interpolation Function Value Interpolation Form |
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