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].


We consider the piecewise linear approximation of saddle functions of the form f(x,y) = ax2-by2 under the Linfinity 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.

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Last update: August 15, 2017.