De Boor's algorithm: Difference between revisions

Revision as of 13:51, 10 February 2025

Revision as of 06:35, 2 May 2025

Line 11:

== Local support ==

B-splines have local support, meaning that the polynomials are positive only in a finitecompact ___domain and zero elsewhere. The Cox-de Boor recursion formula<ref>C. de Boor, p. 90</ref> shows this:

<math display="block">B_{i,0}(x) :=

\begin{cases}