Based on analysis of basic cubic spline interpolation, on the condition of the first boundary the cubic spline interpolation is generalized in this paper. The methods are presented on the condition that the first derivatives of arbitrary two nodes are given. At last, this calculation method is illustrated through an example.
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郭昌言,高尚. 三次样条插值的推广[J]. 科学技术与工程, 2011, (7): . Guo Changyan, GaoShang. Generalization of Cubic Spline Interpolation[J]. Science Technology and Engineering,2011,(7).