Abstract: In order to overcome the problem resulted from none-uniform sampled data set,this paper presents a method to calculate unknown control points using given control points and knots to generate a smooth B-spline curve.It is based on the basis-function-maximum-value parameterization introduced in this paper.This method first parameterizes all control points;then regards given control points as data points to create a fit curve by interpolation;and finally obtains the unknown control points by evaluating the corresponding parameters directly,which improves the continuity and smoothness of the generated B-spline curve.The examples in the last section illustrate the feasibility of this method.