A New Algorithm for the Evaluation of Generalized B-splines
Numerical Analysis
2015-10-15 v1
Abstract
In this paper we present a method for direct evaluation of generalized B-splines (GB-splines) via the local representation of these curves as piecewise functions. To accomplish this we introduce a local structure that makes GB-spline curves more amenable to the techniques used in constructing bases of higher degree. This basis is used to perform direct computation of piecewise representation of GB-spline bases and curves.
Cite
@article{arxiv.1510.04090,
title = {A New Algorithm for the Evaluation of Generalized B-splines},
author = {Ian D. Henriksen and Emily J. Evans and Derek C. Thomas},
journal= {arXiv preprint arXiv:1510.04090},
year = {2015}
}