_____ _______ _______ __ _____ | __ \__ __/ ____\ \ / / | __ \ | | | | | | | | __ \ \ / /_____| |__) |___ __ _ | | | | | | | | |_ | \ \/ /______| _ // _ \/ _` | | |__| | | | | |__| | \ / | | \ \ __/ (_| | |_____/ |_| \_____| \/ |_| \_\___|\__, | __/ | |___/ README This package includes code in the form of Matlab functions and scripts. The functions serve the purpose of solving a system of linear equations, A u = b, regularized by either Directional Total Variation (DTV) or Directional Total Generalized Variation (DTGV). In order to do so, a function for estimating the main direction in a images and a function for plotting the direction is also provided. The scripts provide demonstrations of the performance of the direction estimator, and also compares the directional regularization with isotropic regularization. For more details about the techniques etc., see arxiv.org/abs/1701.02675. CONTENT est_theta_Fourier.m - estimate pixel-wise directions in a given image l2_DTV.m - solves the l2-DTV minimization problem l2_DTGV.m - solves the l2-DTGV minimization problem fibre_phantom.m - creates a piecewise constant fibre phantom image fibre_phantom_pa.m - creates a piecewise affine fibre phantom image plot_line.m - plots a line on top of an image test_theta_estimate.m - test-script for the direction estimation in noisy images comp_TV_DTV.m - test-script for a comparison between TV and DTV reg. comp_TGV_DTGV.m - test-script for a comparison between TGV and DTGV reg. DEVELOPER Rasmus Dalgas Kongskov PhD student at DTU Compute 2014-2017 CONTACT Assoc. Prof. Yiqiu Dong, DTU Compute, Technical University of Denmark yido@dtu.dk