ABSTRACT
Let k and n be positive integers such as n > k > 2. Let t = (U )^i be a real sequence called a knots vector. We restrict ourself in this paper to the cases such as t\ < • • • < $*, t{ < t{+1 for i = k + 1 to n, and tn+1 < • • • < £n+fcGiven (Cj)”=1 a sequence of n vectors, Ct E with d = 2 or 3, let
be a JRd spUne curve of order k defined on t; where Bj^,t (x) are the normalized B-splines functions associated with t.
