Mohadese Ghafari

Flips in two-dimensional hypertriangulations

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss et autres

at, us, au (code pays fourni par la source)

Brillouin Zones of Integer Lattices and Their Perturbations

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss et autres

Abstract. For a locally finite set, [Formula: see text], the [Formula: see text] th Brillouin zone of [Formula: see text] is the region of points [Formula: see text] for which [Formula: see text] is the [Formula: see text]th smallest among the Euclidean …

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On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss et autres

Abstract For a locally finite set in $${{{\mathbb {R}}}}^2$$ R 2 , the order-k Brillouin tessellations form an infinite sequence of convex face-to-face tilings of the plane. If the set is coarsely dense and generic, then the corresponding infinite sequences of minimum …

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Flips in Two-dimensional Hypertriangulations

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss et autres

We study flips in hypertriangulations of planar points sets. Here a level-$k$ hypertriangulation of $n$ points in the planes is a subdivision induced by the projection of a $k$-hypersimplex, which is the convex hull of the barycenters of the $(k-1)$-dimensional faces of …

On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss et autres

For a locally finite set in $\mathbb{R}^2$, the order-$k$ Brillouin tessellations form an infinite sequence of convex face-to-face tilings of the plane. If the set is coarsely dense and generic, then the corresponding infinite sequences of minimum and maximum angles are both …

at, us, ir (code pays fourni par la source)

Brillouin Zones of Integer Lattices and Their Perturbations

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss et autres

For a locally finite set, $A \subseteq \mathbb{R}^d$, the $k$-th Brillouin zone of $a \in A$ is the region of points $x \in \mathbb{R}^d$ for which $\|x-a\|$ is the $k$-th smallest among the Euclidean distances between $x$ and the points in $A$. …