分段保形二阶连续的三次样条插值

On Piecewise Shape Preserving Cubic Spline Interpolations with Second Order Continuity

给出了用二阶连续的三次样条进行密切插值的方法，并证明了这些二阶连续的三次样条具有分段保形性．

In this paper, we discuss the method for construction of osculatory interpolation using cubic spline with second order continuity. We prove that this cubic spline piecewisely preserves the shape of the data. Some computer numerical tests show the advantage of high order continuities which splines keeping second order continuity possess.