Fast and exact evaluation of box splines via the PP-form
Numerical Analysis
2016-06-30 v1 Functional Analysis
Abstract
For the class of non-degenerate box splines, we prove that these box splines are piecewise polynomial. This is not a new result, it is in fact a well known and useful property of box splines. However, our proof is constructive, and the main result of this work is a corollary that follows from this proof, namely one that gives an explicit construction scheme for the polynomial pieces in the interior regions of any non-degenerate box spline.
Keywords
Cite
@article{arxiv.1606.08910,
title = {Fast and exact evaluation of box splines via the PP-form},
author = {Joshua Horacsek and Usman Alim},
journal= {arXiv preprint arXiv:1606.08910},
year = {2016}
}