# Geometry

B-SPLines Basis Function Given a sequence of non-decreasing numbers   Ξ= {[ξ_1,ξ_2,…,ξ_(n+p),ξ_(n+p+1)]}    we can evaluate the B-SPLine basis functions at xiin[xi_1,xi_(n+p+1)] using the Cox-de Boor recursive formula. First, for degree p=0 (piecewise constant, box BSPLine)   N_(i,0)(ξ)={(1,if ξ_i<=ξ<ξ_(i+1)),(0, otherwise):}    The piecewise constant does not include the right edge ξ_(i+1) in order to ensure partition of unity, as…...

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