The Varible Density Approximate Message Passing (VDAMP) algorithm for reconstruction of an image from Fourier coefficients sampled with variable density, reproducing figures from "Approximate Message Passing with Colored State Evolution for Variable Density Fourier Sampled Images" [https://arxiv.org/abs/2003.02701] and the preliminary work "An Approximate Message Passing algorithm for Rapid Parameter-Free Compressed sensing MRI" [https://arxiv.org/abs/1911.01234] by Charles Millard, Aaron T Hess, Boris Mailhe and Jared Tanner. demo1 runs VDAMP only, reproducing the figures that provide evidence of VDAMP's state evolution and additional figures on tracking errors. demo2 runs VDAMP-alpha, VDAMP-S, FISTA, S-FISTA and SURE-IT, reproducing the remaining, comparative figures, and the results from the tables. If you have any questions/comments, please feel free to contact Charles (Charlie) Millard at <millard@maths.ox.ac.uk> or Boris Mailhe <boris.mailhe@siemens-healthineers.com> Copyright (C) 2020 Charles Millard Copyright (C) 2020 Siemens Healthineers The Software does not have 510K approval, U.S. Food and Drug Administration (FDA) clearance, European Medicines Agency (EMA) clearance or CE mark. The Software is intended research purposes only, not for diagnostic or clinical use. This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. A copy of the GNU General Public License can be found in the file GNU_General_Public_License, and is also availabe at <https://www.gnu.org/licenses/>