A Method for Constructing Identical Slope Surface Based on Parametric Spline Interpolation

The traditional method for constructing identical slope surface is under the premise that exact expression of lead curve is known.But in practical engineering,the exact expression of lead curve is hard to obtain,and only some measured data points of the lead curve are given.For solving that problem,a method of constructing the identical slope surface in engineering is presented in this paper.Firstly,cubic parametric spline interpolation curve is constructed according to the measured data points,which is regarded as the lead curve.Then,the parametric equation of identical slope gradient surface is constructed based on the forming principle of that surface.Lastly,an example is presented to show the method is feasible and effectual.