# Shape Function

In order to evaluate NURBS shape functions, the weighting function is defined:   W(xi)=sum_(i=1)^n{N_(i,p)(xi)*W_i}    In most engineering applications, weights have positive values. Unless otherwise stated, they will be considered positive for the scope of this thesis. W(ξ) is in fact the Z-coordinate of the projective B-SPLine curve. Projective transformation is applied by dividing the other two coordinates of…

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