Publication

Data-Driven Characterisation of Multidirectional Pedestrian Traffic

2016

Abstract

We propose the framework for pedestrian traffic characterisation that is derived by extending Edie’s definitions through a data-driven discretisation. The discretisation framework is based on three-dimensional Voronoi diagrams in order for the characterisation to be as independent as possible from an arbitrarily chosen aggregation. It can be designed through the utilisation of pedestrian trajectories described either analytically or as a sample of points.

Official source

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2016

Abstract

Official source

Related concepts (8)

Voronoi diagram

In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators). For each seed there is a corresponding region, called a Voronoi cell, consisting of all points of the plane closer to that seed than to any other. The Voronoi diagram of a set of points is dual to that set's Delaunay triangulation.

Centroidal Voronoi tessellation

In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation in which the generating point of each Voronoi cell is also its centroid (center of mass). It can be viewed as an optimal partition corresponding to an optimal distribution of generators. A number of algorithms can be used to generate centroidal Voronoi tessellations, including Lloyd's algorithm for K-means clustering or Quasi-Newton methods like BFGS.

Mathematical diagram

Mathematical diagrams, such as charts and graphs, are mainly designed to convey mathematical relationships—for example, comparisons over time. A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram The complex plane is sometimes called the Argand plane because it is used in Argand diagrams. These are named after Jean-Robert Argand (1768–1822), although they were first described by Norwegian-Danish land surveyor and mathematician Caspar Wessel (1745–1818).