Generation of lattices of points for bivariate interpolation

@article{Carnicer2004GenerationOL,
  title={Generation of lattices of points for bivariate interpolation},
  author={Jes{\'u}s M. Carnicer and Mariano Gasca},
  journal={Numerical Algorithms},
  year={2004},
  volume={39},
  pages={69-79}
}
Principal lattices in the plane are distributions of points particularly simple to use Lagrange, Newton or Aitken–Neville interpolation formulae. Principal lattices were generalized by Lee and Phillips, introducing three-pencil lattices, that is, points which are the intersection of three lines, each one belonging to a different pencil. In this contribution, a semicubical parabola is used to construct lattices of points with similar properties. For the construction of new lattices we use cubic… CONTINUE READING