Bilateral Filter

MultiresolutionImageProcessing1)BilateralFilter: On the same level within the Gaussian pyramid, we apply the bilateral filter, a non-linear image filter for reducing noise and preserving edges at the same time. It is based on a local operator containing two Gaussian filter kernels, Gσs for taking spatial similarity into account, and Gσr for considering range similarity (intensity). I′(x) = 1 Wp(xi ∈ Ω Gσs(∥xi−x∥) Gσr(|I(xi)−I(x)|)I(xi)