A New Algorithm for the Evaluation of Generalized B-splines
This work provides a computational tool for researchers and practitioners working with generalized B-splines, but it is an incremental improvement over existing evaluation methods.
The paper presents a new algorithm for directly evaluating generalized B-splines by representing them as piecewise functions, enabling efficient computation of bases and curves.
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.