- Portada
- Volume 15 (1996)
- Number 1 - Mathematical foundations of stereology ...
- Unbiased estimation of the specific Euler-Poincaré characteristic
Vista(s): 291 (1 ULiège)
Descargar(s): 48 (0 ULiège)
Unbiased estimation of the specific Euler-Poincaré characteristic
![Open Access](images/Open_Access.png)
Abstract
The structures considered in the present paper are the realisation of a stationary ergodic random set and the problem is to estimate their specific Euler-Poincaré characteristic. The estimator proposed here leads to unbiased results whatever the space dimension. It has been tested on a 3D face centred cubic Bernoulli grid with densities ranging from 0 to 1. Moreover, the variance of this estimator has been calculated experimentally for every dimension and for all possible densities. With a large number of fields (~l0000), these experimental results fit the theoretical curves calculated for 0, 1 and 2D spaces.
Para citar este artículo
Acerca de: Patricia Jouannot
Centre de Géostatistique, 35 rue Saint Honoré, 77305 Fontainebleau, France
Acerca de: Jean-Paul Jernot
LERMAT, ISMRA, Boulevard du Maréchal Juin, 14050 Caen Cedex, France
Acerca de: Christian Lantuejoul
Centre de Géostatistique, 35 rue Saint Honoré, 77305 Fontainebleau, France