Vector-valued Fourth-order Reaction-diffusion based Photon-limited Multi-channel Image Filtering

A nonlinear partial differential equation (PDE)- based photon-limited multi-channel image restoration technique is proposed here. It uses a novel well-posed vector-valued fourth-order reaction-diffusion model. The considered model leads to an anisotropic diffusion equation system whose single-valued PDEs are correlated by some shared terms. A finite difference-based discretization algorithm that solves numerically this reaction-diffusion system is then proposed. This fast-converging iterative numerical approximation scheme has been used successfully in the quantum denoising tests which are finally discussed in this paper.