5 papers
The Impossibility of Simultaneous Time and I/O Optimality for The Planar Maxima and Convex Hull Problems
Peyman Afshani, Gerth Stølting Brodal, Nodari Sitchinava
We prove that no deterministic output-sensitive algorithm for the planar convex hull and maxima problems can obtain both optimal time and I/O complexity, where the optimality is de…
Compatible Triangulations of Simple Polygons
Peyman Afshani, Boris Aronov, Kevin Buchin +5
Let and be simple polygons with vertices each. We wish to compute triangulations of and that are combinatorially equivalent, if they exist. We consider two vers…
How many users have been here for a long time? Efficient solutions for counting long aggregated visits
Peyman Afshani, Rezaul Chowdhury, Inge Li Gørtz +3
This paper addresses the Counting Long Aggregated Visits problem, which is defined as follows. We are given users and regions, where each user spends some time visiting som…
Property Testing of Curve Similarity
Peyman Afshani, Maike Buchin, Anne Driemel +2
We propose sublinear algorithms for probabilistic testing of the discrete and continuous Fréchet distance - a standard similarity measure for curves. We assume the algorithm is gi…
Convexity Helps Iterated Search in 3D
Peyman Afshani, Yakov Nekrich, Frank Staals
Inspired by the classical fractional cascading technique, we introduce new techniques to speed up the following type of iterated search in 3D: The input is a graph wit…