A note concerning the distances of uniformly distributed points from the centre of a rectangle

Authors

  • Robert Logan Stewart University of Alberta, Department of Computing Science
  • Hong Zhang University of Alberta, Department of Computing Science

Keywords:

Rectangle, Distribution of Distances, Probability Density Function, Cumulative Distribution Function, Mean Distance, Rectangle Picking, Robotic Computer Vision

Abstract

Given a rectangle containing uniformly distributed random points, how far are the points from the rectangle’s centre? In this paper we provide closed form expressions for the cumulative distribution function and probability density function that characterise the distance. An expression for the average distance to the centre of the rectangle is also provided. DOI: 10.1017/S0004972712000421

Author Biographies

Robert Logan Stewart, University of Alberta, Department of Computing Science

Robert Stewart completed a BE in Electrical and Computer Systems Engineering (2002) and a PhD (2006) in the field of swarm robotics at Monash University, Australia. Ater working as an engineer within CSIRO's Materials Science and Engineering Division, he took a year of leave without pay to undertake a postdoctoral fellowship at the University of Alberta, Canada, within the Department of Computing Science. His interests include: swarm intelligence, mobile robotics, signal processing, computer vision, electronics and computer systems, complexity and artificial life.

Hong Zhang, University of Alberta, Department of Computing Science

TBA

Published

2012-12-17

Issue

Section

Articles