A universal parametrization in B-spline curve and surface interpolation Original Research Article

We propose here a new universal parametrization for B-spline interpolation. The new parametrization is based on the values ti where B-splines Ni,k(t) are maximum in case of order k. The resulting interpolation curve X(t) is transformation invariant and more natural looking, in general, than those obtained by other methods. Using a fixed knot vector, tiʹs are independent of interpolating points {Pi}, and hence the computation of X(t) can be done more efficiently. In addition, the new method works well in any order k.