Acta Stereologica Acta Stereologica -  Volume 15 (1996)  Number 1 - Mathematical foundations of stereology - Feb. 1996 

A stereological algorithm to generate uniform points over a domain in a high dimensional space

Christian Lantuejoul

Centre de Géostatistique, Ecole des Mines, 35 rue Saint-Honoré, 77305 Fontainebleau, France

Abstract

A sequential algorithm is proposed to generate uniform points over a d-dimensional domain. This algorithm is applicable whatever the shape of the domain and remains efficient even if d is large. This paper presents the algorithm, proves its validity and gives bounds for the rate of convergence.

Keywords : multivariate uniform generation, Markov chain

To cite this article

Christian Lantuejoul, «A stereological algorithm to generate uniform points over a domain in a high dimensional space», Acta Stereologica [En ligne], Volume 15 (1996), Number 1 - Mathematical foundations of stereology - Feb. 1996, 71-76 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=446.