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中文摘要：
构造一种新的有理插值样条曲面，证明积分权系数和极限曲面等性质，给出曲面光滑的条件，并基于曲面的矩阵表示研究其保凸性．
英文摘要：
In this paper, a new kind of rational interpolating spline surface is constructed to prove the properties such as the integral weighted coefficients and limit surface. The conditions for the smooth construction of surface are discussed. Based on the matrix representation of surface：its convexity is also studied.
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