REGION CONTROL OF A RATIONAL CUBIC INTERPOLATING SPLINE BASED ON FUNCTION VALUES
基于函数值的有理三次插值样条曲线的区域控制

To constrain the interpolating curves to be bounded in the given region is an important problem in curve design.A rational cubic interpolating spline based on function values and with cubic denominators is constructed.Sufficient conditions for the interpolating curves to be above,below or between the given broken lines or piecewise quadratic curves are derived. Two examples are given in the end of this paper.