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…...

This content is for basic members only.

Sign In Register