We have recently proposed an original approach for the statistical segmentation of an object, based on active contours. In this paper, we propose a comparison of several Hausdorff distances performances in dissimilarity measurements for silhouette discrimination. For this purpose, we apply on the silhouettes of a dataset six kinds of perturbations that can occur with an active contour technique and we compute the good discrimination rate versus the reject rate for each distance. We also propose a simple method to accelerate the calculus of the Hausdorff distances.