On the ROF Model in Rectilinear Anisotropy: Piecewise Constant Approximation and Universal Minimality

Clemens Kirisits, Eric Setterqvist

We prove that the $L^2$ distance between the minimizer of the ${\ell }^1$-anisotropic Rudin-Osher-Fatemi (ROF) functional and its minimizer over the space of piecewise constant functi…