For any given sequence of data points, in this paper,a C1 shape preserving interpo1ating quadratic and cubic sp1ine function S(x) by inserting some new knots are constructed by using Bernstein po1ynomai1s. The S(x) is simp1e and efficient to ca1cu1ate. Finally the monotonic shape preserving sp1ine function is a1so discussed.
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方逵,傅凯新.保形插值的样条函数方法[J].国防科技大学学报,1994,16(4):88-93. Fang Kui, Fu Kaixin. Spline Function Method for Shape Preserving Interpolation[J]. Journal of National University of Defense Technology,1994,16(4):88-93.