STOCHASTIC GEOMETRY

Project


Project name: Stochastic Geometry
Coordinator of this project: Ms. dr. M.N.M. van Lieshout
Startdate: 1997
Enddate: 2008

Stochastic geometry is concerned with random geometric structures, ranging from simple points or line segments to arbitrary closed sets. Although it has roots in geometric probability and integral geometry, the modern theory of random sets was developed in the seventies, independently by David Kendall in Cambridge and Georges Matheron in Fontainebleau with important contributions from the German school around Professors Mecke and Stoyan. Stochastic geometry techniques can be applied in a wide range of fields for instance image analysis, telecommunication networks, forestry, and environmental research.


Members of this project

Ms. dr. M.N.M. van Lieshout
R. Kluszczynski, M.Sc., Dr. T. Schreiber (2004-2007, EU); see also the MUSCLE project page


Key publications

M.N.M. van Lieshout
Markov point processes and their applications.
Imperial College Press/World Scientific, 2000.

O. Barndorff-Nielsen, W.S. Kendall, and M.N.M. van Lieshout
Stochastic geometry, likelihood and computation.
CRC Press/Chapman and Hall, 1999.


Cooperation

  • Eurandom;
  • Nicolaus Copernicus University, Torun (Poland);
  • ERCIM image analysis groups and other European MUSCLE partners;
  • Philips Research.