 This paper proposes a new method for deblurring and denoising magnetic resonance images, MRI, called the isotropic total variation regularized least absolute deviations measure, LAD-TV. The method uses a combination of two techniques, the least absolute deviation, LAD, and the total variation, TV, to simultaneously reduce noise and preserve edges in the MRI. An alternating optimization algorithm is then used to solve the resulting minimization problem. Experiments on real-world datasets show that this method can effectively restore images with high quality. This article was authored by Xiaoligu, Weishui, Yanhong Sun, and others.