Orit E. Raz

most citedThe number of unit-area triangles in the plane: Theme and variations

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2015★ 4 cited

The number of unit-area triangles in the plane: Theme and variations

Orit E. Raz, Micha Sharir

We show that the number of unit-area triangles determined by a set $S$ of $n$ points in the plane is $O (n^{20/9})$ , improving the earlier bound $O (n^{9/4})$ of Apfelbaum and Sharir…

cs.CG2014

Partial-Matching and Hausdorff RMS Distance Under Translation: Combinatorics and Algorithms

Rinat Ben-Avraham, Matthias Henze, Rafel Jaume +4

We consider the RMS distance (sum of squared distances between pairs of points) under translation between two point sets in the plane, in two different setups. In the partial-match…