De Boor's algorithm: Difference between revisions

Revision as of 18:45, 25 July 2008

Revision as of 18:46, 25 July 2008

Line 18:

<math>N_i^n(x)=\frac{x-u_i}{u_{i+n}-u_i}N_i^{n-1}(x) - \frac{x-u_{i+n+1}}{u_{i+n+1}-u_{i+1}}N_{i+1}^{n-1}(x) ,</math>

and

<math> N_i^0(x)=\left\{\begin{matrix} 1, & \mbox{if }x \in [u_{\ell},u_{\ell+1}) \\ 0, & \mbox{otherwise } \end{matrix}\right .</math>