Name
Abstract | ||
|---|---|---|
Given a topological complex M with glueing data along edges shared by adjacent faces, we study the associated space of geometrically smooth spline functions that satisfy differentiability properties across shared edges. We present new and efficient constructions of basis functions of the space of G1-spline functions on quadrangular meshes, which are tensor product b-spline functions on each quadrangle and with b-spline transition maps across the shared edges. This new strategy for constructing basis functions is based on a local analysis of the edge functions, and does not depend on the global topology of M. We show that the separability of the space of G1 splines across an edge allows to determine the dimension and a basis of the space of G1 splines on M. This leads to explicit and effective constructions of basis functions attached to the vertices, edges and faces of M. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cagd.2020.101814 | Computer Aided Geometric Design |
Keywords | DocType | Volume |
Geometric continuity,Isogeometric analysis,Fitting point cloud,Splines | Journal | 78 |
ISSN | Citations | PageRank |
0167-8396 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ahmed Blidia | 1 | 0 | 0.34 |
| Bernard Mourrain | 2 | 1074 | 113.70 |
| Gang Xu | 3 | 65 | 10.70 |