We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where th...
Given a set S of n points in the plane and a fixed angle 0 < < , we show how to find all triangles of minimum area with angle that enclose S in O(n log n) time.
Database search for images containing icons with specific mutual spatial relationships can be facilitated by an appropriately structured index. For the case of images containing s...
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
Given n points in the plane, we study three optimization problems of computing an empty pseudo-triangle: we consider minimizing the perimeter, maximizing the area, and minimizing ...