Three-pencil lattices on triangulations |
| |
| Authors: | Gašper Jaklič Jernej Kozak Marjeta Krajnc Vito Vitrih Emil Žagar |
| |
| Affiliation: | (1) FMF and IMFM, University of Ljubljana and PINT, University of Primorska, Koper, Slovenia |
| |
| Abstract: | In this paper, three-pencil lattices on triangulations are studied. The explicit representation of a lattice, based upon barycentric coordinates, enables us to construct lattice points in a simple and numerically stable way. Further, this representation carries over to triangulations in a natural way. The construction is based upon group action of S 3 on triangle vertices, and it is shown that the number of degrees of freedom is equal to the number of vertices of the triangulation. |
| |
| Keywords: | lattice Barycentric coordinates triangulations interpolation |
| 本文献已被 SpringerLink 等数据库收录！ |
|
