一类对称插值样条和严格凸插值样条

A Class of Symmetric Interpolation spline and Strictly Convex Interpolation Spline

文[1]给出一类C^2连续保凸的插值样条曲线,本文在此基础上进一步讨论(1)当插值多边形为保凸对称时,构造形状对称的C^2连续且保凸的插值样条曲线。(2)当插值多边形严格凸时,构造C^2连续且严格凸的插值样条曲线。

From paper 1 we have a class of C2 continuous convex interpolation spline curves, on which we give more discuss as. ( 1 ) We construct interpolation spline curves which are C2 continuous con-convex and symmetric, where the interpolation polygon is con-convex. ( 2 ) We construct interpolation spline curves which are C2 continuous and strict convex, where the interpolation polygon is strictly convex.