摘要
本文提出了一种矩形域上正数据点的保正有理样条插值方法.当形状参数满足一些简单条件时,它是C1的.推导出了有理样条保正的关于系数需要满足的充分条件,并在最后给出了数值验证.
A positivity-preserving interpolation local scheme to positive scattered data is developed.The rational surface for the data is arranged over a rectangular grid.The function is C1 when the parameters satisfy a simple condition.Sufficient conditions are derived on coefficients in the rational spline to ensure that the surfaces are always positive.In the end of this paper a numerical example is illustrated.
出处
《吉林师范大学学报（自然科学版）》
2010年第4期1-4,共4页
Journal of Jilin Normal University:Natural Science Edition
基金
辽宁省教育厅科学技术项目(No.L2010221)
关键词
C1有理样条
二元插值
保正
C1-rational splines
bivariate interpolation
positivity-preserving
