国家自然科学基金(the National Natural Science Foundation of China under Grant No.20206033)
湖南省自然科学基金(the Natural Science Foundation of Hunan Province of China under Grant No.06JJY4073)
湖南省教育厅资助科研课题(the Research Project of Department of Education of Hunan Province,China under Grant No.06C791)
长沙市高新技术项目(No.K051127-72).
A method is presented for controlling the convexity of interpolant curves based on a rational quadratic interpolation function with quadratic denominators.The sufficient and necessary conditions are derived for the interpolating curves to be convex or concave i...