Constructing Explicit B-Spline
Numerical Analysis
2014-09-15 v1
Abstract
We introduce here a direct method to construct multivariate explicit B-spline bases. B-splines are piecewise polynomials, which are defined on adjacent tetrahedra and which are continuous throughout. The continuity is enforced by making sure that all directional derivatives of order , and lower, on the boundaries of adjacent tetrahedra give the same values for both tetrahedra. The method presented here is explicit, in that we will provide an algorithm with which one can analytically construct the B-spline base that enforces continuity for a given geometry.
Keywords
Cite
@article{arxiv.1409.3824,
title = {Constructing Explicit B-Spline},
author = {R. O. Linger and H. R. N. van Erp and P. H. A. J. M. van Gelder},
journal= {arXiv preprint arXiv:1409.3824},
year = {2014}
}