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.
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Jaklič, G., Kozak, J., Krajnc, M. et al. Three-pencil lattices on triangulations. Numer Algor 45, 49–60 (2007). https://doi.org/10.1007/s11075-007-9068-4
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DOI: https://doi.org/10.1007/s11075-007-9068-4