A new discrete PDE-based fusion model

Recently, we have proposed a PDE-based fusion approach for noisy images. In this paper, we describe our continuous model and we insist on the numerical model. A new discretization scheme is introduced in order to obtain a faster time of convergence and more reliable results. We compare our model (implemented by 2 discretization schemes) with the classical multi-resolution fusion methods in the case of noisy-free 2D images. The results are obtained after an optimization in the space of parameters and are compared on 3 different applications (2 classical and 1 synthesized) by the means of a quality factor.