A universal parametrization in B-spline curve and surface interpolation

We propose here a new universal parametrization for B-spline interpolation. The new parametrization is based on the values t(i) where B-splines N-i,N- 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 tho se obtained by other methods. Using a fixed knot vector, ti's are independe nt of interpolating points {P-i}, and hence the computation of X(t) can be done more efficiently. In addition, the new method works well in any order k. (C) 1999 Elsevier Science B.V. All rights reserved.