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 Chinaunder Grant No.06JJY4073)
湖南省教育厅科研资助项目(No.06C791).
To constrain the interpolating curves to be bounded in the given region is an important problem in curve design.A rational quartic interpolating spline based on function values with linear denominator is constructed.The sufficient conditions for the interpolating curves to be above,below or between the given broken lines or piecewise quadratic curves are deri...