Computation of Hermite interpolation in terms of B-spline basis using polar forms

The aim of this paper is to present an Hermite interpolation problem with B-splines of high degree of smoothness. More precisely, we use polar forms to find the B-spline control points for Hermite interpolation. The resulting formula is used to give Hermite basis functions. In particular, Quadratic C 1 and cubic C 2 interpolations with sharp parameters are analyzed.