局部形状可调的三角多项式插值曲线

Local Shape-Modifying Trigonometric Polynomial Interpolation Curves

对于给定的有序插值点列,给出了构造一类三角多项式插值曲线的方法。三角多项式曲线的控制点直接由插值点列计算产生,避免了求解方程组。所构造的插值曲线可作局部形状修改且具有G2m-1连续性。

For a set of ordered planar data points {Vi }^ni=1,a method of constructing cubic trigonometric polynomial interpolation curves is presented,The control points of the trigonometric polynomial curves are computed by a set of the G^2m-1 points {Vi}^i=1 ,there is no need to solve a linear systems of a set of vector equations.The constructed curve is and can be modified locally.