38 citations · 56 across the 9 of their papers we have counts for
4 papers · 1 filter
Approximation of the Euclidean ball by polytopes with a fixed number of -faces
Steven Hoehner, Carsten Schütt, Elisabeth Werner
We derive lower estimates for the approximation of the -dimensional Euclidean ball by polytopes with a fixed number of -dimensional faces, . The metri…
Random approximation of convex bodies in Hausdorff metric
Joscha Prochno, Carsten Schütt, Mathias Sonnleitner +1
While there is extensive literature on approximation, deterministic as well as random, of general convex bodies in the symmetric difference metric, or other metrics arising fro…
Best and random approximation of a convex body by a polytope
Joscha Prochno, Carsten Schütt, Elisabeth M. Werner
In this paper, we give an overview of some results concerning best and random approximation of convex bodies by polytopes. We explain how both are linked and see that random approx…
Umbrellas and polytopal approximation of the euclidean ball
Yehoram Gordon, Shlomo Reisner, Carsten Schütt
There are two positive, absolute constants and so that the volume of the difference set of the -dimensional Euclidean ball and an inscribed polytope with n verti…