Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy

Clemens Kirisits, Eric Setterqvist, Otmar Scherzer

A recent result by Lasica, Moll and Mucha about the ${\ell }^1$-anisotropic Rudin-Osher-Fatemi model in ${\mathbb{R}}^2$ asserts that the solution is piecewise constant on a rectilinear…