spline basis functions
The B-spline basis functions as like as Bezier ones are nonnegative Ni,k â¥ 0 and have partition of unity property. âi=0,n Ni,k(t) = 1, tk-1 â¤ t â¤ tn+1. therefore. 0 â¤ Ni,k â¤ 1. As since Ni,k = 0 for t â¤ ti or t â¥ ti+k therefore a control point Pi influences the curve only for ti < t < ti+k .