三次B样条插值及其误差分析

In this paper, starting from the definition of B spline curve，according to the known data points, the uniform parameterization method which is used to construct the knot vectors to obtain the specific forms of expression of B-spline basis . The tridiagonal matrix is constructed by using an approaching method, then all of the control points are calculated using the chasing method to fit the required curve finally. The final numerical experiments and error analysis reveal that this method constructing the curve to meet project requirements can be a very good good application in engineering practice.