De Boor's algorithm: Difference between revisions

Revision as of 14:09, 11 November 2008

Revision as of 10:19, 30 November 2008

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<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>