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中文摘要：
针对工程中传统Coons曲面片的形状难以调整的问题,通过引入两个形状参数,基于双曲多项式函数和三角多项式函数生成了两种新的Coons型曲面片。两种新曲面片是双三次Coons曲面片的不同扩展,它们不仅保留了双三次Coons曲面片的特性,而且其形状可通过两个形状参数进行调整。特别当两个形状参数都趋于零时,两种新曲面片的极限都是双三次Coons曲面片。通过实验说明了所提方法的实用性。
英文摘要：
The shape of the traditional Coons patch was difficult to adjust in engineering.To deal with this problem,by introducing two shape parameters,two kinds of new Coons patch based on hyperbolic polynomial functions and trigonometric polynomial functions were established.Both of two new patches represented different extension of bicubic Coons patch.They were not only reserved the outstanding properties of the bicubic Coons patch,but their shapes could also be adjusted by two shape parameters.Particularly,when the two shape parameters tended to zero,the limitation of two new patches were bicubic Coons patch.The practicability of proposed method was illusrated by experiments.
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