Directional total variaton minimization

Total variation minimization (TVM) is an isotropic functional that penalizes the abrupt changes in all directions in the images. Isotropic TVM is frequently used as image prior as there are typically no dominant direction of the objects in the images. However, in some cases, objects in the image may have a dominant direction. In these cases directional TVM can be preferred instead of isotropic TVM. In this work, implementation of directional TVM is described and its application for image denoising is demonstrated.