Quadratic cardinal B-spline
= Quadratic cardinal B-spline
{title2=$N_{i,3}(i+1)=N_{i,3}(i+2)=1/2$}
This degree-two <Cardinal B-spline> has three consecutive unit knot intervals as its support. Its first and last polynomial pieces are $(t-i)^2/2$ and $(i+3-t)^2/2$; on the middle interval it equals $3/4-(t-i-3/2)^2$. Its two interior integer values are $1/2$, and its endpoint values are zero. The maximum is $3/4$, emphasizing that partition normalization does not mean unit maximum height.