A Refinement Algorithm for Generalized B-splines

Abstract

In this paper we present a method for knot insertion and degree elevation of generalized B-splines (GB-splines) via the local representation of these curves as piecewise functions. The use of local structures makes the refinement routines simpler to understand and implement.

References in corpus (2)

• Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis
• A New Algorithm for the Evaluation of Generalized B-splines