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计算数学 1979
A SPLINE INTERPOLATION WITH CONVEXITY
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Abstract:
In this paper we produce in Cartesian coordinate a smooth curve which passes two given points with specifical tangent directions.We give a necessary and suffi- cient condition with which interpolating function must be satisfied in order to keep the convexity. This paper deals with an interpolating function keeping convexity with piecewise smooth 3rd degree polynomial.The convergence has been investigated.This method has the same degree of convergence as the 3rd degree Spline polynomial. In the last part,we describe the method of controlling the shape of the interpola- ting funetion.
