An Explicit Hermite Curve Interpolation

Hermite curve interpolation requires the result curve interpolating the given points as well as various derivatives at these points. The traditional implicit and semi-explicit methods have the problems on difficult solving and inexact interpolation. With respect to these defects, a novel explicit Hermite curve interpolation method is proposed in this paper. Firstly, we constructed a class of cardinal type Hermite basis functions. Then they will be blended with all the given interpolation conditions, and a spline curve of degree k will be obtained directly which satisfies all-order derivatives. The experimental results show that our result curves have smooth curvature and high interpolation precision. Compared with the traditional methods, our method has a simper interpolation process without solving equations.