Denoising X-ray Diffraction two-dimensional patterns by a Lattice Boltzmann Method

An X-ray Diffraction pattern consists of the relevant information (the signal) and the noisy background. Under the assumption that they behave as the components of a two-dimensional mixture (bicomponent fluid) having slightly different physical properties related to the density-gradients, a Lattice Boltzmann Method is applied to disentangle the two different diffusive dynamics. The solution is numerically stable, computationally not demanding and, moreover, it provides an efficient increase of the signal-to-noise ratio for patterns blurred by poissonian noise and affected by collection data anomalies (fiber-like samples, experimental setup, etc.). The model has been succesfully applied to different resolution images. Ke