title: Bhattacharyya distance as a contrast parameter for statistical processing of noisy optical images.
abstract: In many imaging applications, the measured optical images are perturbed by strong fluctuations or boise. This can be the case, for example, for coherent-active or low-flux imagery. In such cases, the noise is not Gaussian additive and the definition of a contrast parameter between two regions in the image is not always a straightforward task. We show that for noncorrelated noise, the Bhattacharyya distance can be an efficient candidate for contrast definition when one uses statistical algorithms for detection, location, or segmentation. We demonstrate with numerical simulations that different images with the same Bhattacharyya distance lead to equivalent values of the performance criterion for a large number of probability laws. The Bhattacharyya distance can thus be used to compare different noisy situations and to simplify the analysis and the specification of optical imaging systems.
authors.affiliation: Physics and Image Processing Group, Fresnel Institute, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint-Jérôme, 13397 Marseille, France. francois.goudail@fresnel.fr
authors.forename: François
authors.initials: F
authors.lastname: Goudail
authors.forename: Philippe
authors.initials: P
authors.lastname: Réfrégier
authors.forename: Guillaume
authors.initials: G
authors.lastname: Delyon