122 citations · 229 across the 10 of their papers we have counts for
4 papers · 1 filter
A Refinement Algorithm for Generalized B-splines
Ian D. Henriksen, Emily J. Evans
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.…
A New Algorithm for the Evaluation of Generalized B-splines
Ian D. Henriksen, Emily J. Evans, Derek C. Thomas
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 thi…
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
Derek C. Thomas, Michael A. Scott, John A. Evans +2
We introduce Bézier projection as an element-based local projection methodology for B-splines, NURBS, and T-splines. This new approach relies on the concept of Bézier extraction an…
Hierarchical analysis-suitable T-splines: Formulation, Bézier extraction, and application as an adaptive basis for isogeometric analysis
Emily J. Evans, Michael A. Scott, Xin Li +1
In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. Th…