## Dror Atariah, Günter Rote, and Mathijs Wintraecken:

# Optimal triangulation of saddle surfaces

*Beiträge zur Algebra und Geometrie—Contributions to Algebra
and Geometry* **59**, no. 1 (2018), 113–126. doi:10.1007/s13366-017-0351-9,
arXiv:1511.01361 [math.MG].
### Abstract

We consider the piecewise linear approximation of saddle functions of the form
`f`(`x`,`y`)
= `a``x`^{2}-`b``y`^{2}
under the L_{infinity} error norm. We show that
interpolating approximations are not optimal. One can get slightly smaller
errors by allowing the vertices of the approximation to move away from the
graph of the function.

Last update: August 15, 2017.