Statistical modeling of corneal OCT speckle. A distributional model-free approach

Abstract

In biomedical optics, it is often of interest to statistically model the amplitude of the speckle using some distributional models with their parameters acting as biomarkers. In this paper, a paradigm shift is being advocated in which a distributional model-free approach is used. Specifically, a range of distances, evaluated in different domains, between an empirical nonparametric distribution of the normalized speckle amplitude sample and the benchmark Rayleigh distribution, is considered. Using OCT images from phantoms, two ex-vivo experiments with porcine corneas and an in-vivo experiment with human corneas, an evidence is provided that the distributional model-free approach, despite its simplicity, could lead to better results than the best-fitted (among a range of considered models) distributional model. Concluding, in practice, the distributional model-free approach should be considered as the first choice to speckle modeling before a distributional-based approach is utilized.