Name
Abstract | ||
|---|---|---|
A class of @a@b@c-Bernstein-Bezier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein-Bezier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein-Bezier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein-Bezier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G^1 continuous smooth joining two triangular Bernstein-Bezier-type patches are given. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2013.06.043 | Applied Mathematics and Computation |
Keywords | Field | DocType |
new basis function,triangular bernstein-bezier-type patch,c-bernstein-bezier basis function,triangular domain,cubic ball basis function,exponential shape parameter,cubic bernstein-bezier basis function,shape parameter | Exponential function,Mathematical analysis,Bézier curve,Basis function,Shape parameter,Mathematics,Geometric continuity | Journal |
Volume | ISSN | Citations |
220 | 0096-3003 | 4 |
PageRank | References | Authors |
0.44 | 6 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuanpeng Zhu | 1 | 7 | 2.87 |
| Xuli Han | 2 | 159 | 22.91 |