凸多边形单元上的样条Blending插值格式

Spline blending interpolation scheme over convex polygonal cells

对任意的正整数μ，本文给出了凸多边形单元上的Ｃμ样条Ｂｌｅｎｄｉｎｇ插值格式，它仅需要函数在多边形边界上的直至μ阶的偏导数值，且具有２μ＋１阶代数精度．

For an arbitrary positive integer μ, a Cμspline blending interpolation scheme over convex polygonal cells is given. It needs only the partial derivatives with orders up to μ of the interpolated function on the boundary of the polygon and has algebraic precision of degree 2μ+ 1.