Image Processing Variations with Analytic Kernels

John B. Garnett, Triet M. Le, Luminita A. Vese

Let $f\in L^1({\mathbb{R}}^d)$ be real. The Rudin-Osher-Fatemi model is to minimize $\Vert u{\Vert }_{\dot{BV}}+\lambda \Vert f-u{\Vert }_{L^2}^2$, in which one thinks of $f$ as a given image, $\lambda >0$ as a "tuning para…