Publication
In this paper, we propose a novel second-order regularizer based on the maximum response of the second-order directional derivative, assuming that the image under consideration belongs to the class of piecewise-linear signals. Compared to total-variation regularization that preserves edges but transforms piecewise-smooth regions into piecewise-constant regions, the proposed model is able to restore piecewise-linear regions and finer details. Deconvolution experiments demonstrate the performance of our approach in terms of the quality of reconstruction.
Michaël Unser, Shayan Aziznejad, Joaquim Gonçalves Garcia Barreto Campos
Xavier Fernandez-Real Girona, Riccardo Tione