References

CP11

Antonin Chambolle and Thomas Pock. A first-order primal-dual algorithm for convex problems with applications to imaging. Journal of Mathematical Imaging and Vision, 40(1):120–145, May 2011. URL: https://doi.org/10.1007/s10851-010-0251-1, doi:10.1007/s10851-010-0251-1.

CKG+11

Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, and Truong Q. Nguyen. An augmented lagrangian method for total variation video restoration. IEEE Transactions on Image Processing, 20(11):3097–3111, 2011. doi:10.1109/TIP.2011.2158229.

CA33

James A. Clarkson and C. Raymond Adams. On definitions of bounded variation for functions of two variables. Transactions of the American Mathematical Society, 35(4):824–854, 1933. URL: http://www.jstor.org/stable/1989593 (visited on 2023-04-04).

Con13

Laurent Condat. A direct algorithm for 1-d total variation denoising. IEEE Signal Processing Letters, 20(11):1054–1057, 2013. doi:10.1109/LSP.2013.2278339.

GS15

Christian G Graff and Emil Y Sidky. Compressive sensing in medical imaging. Appl Opt, 54(8):C23–44, March 2015.

LDP07

Michael Lustig, David Donoho, and John M. Pauly. Sparse mri: the application of compressed sensing for rapid mr imaging. Magnetic Resonance in Medicine, 58(6):1182–1195, 2007. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/mrm.21391, arXiv:https://onlinelibrary.wiley.com/doi/pdf/10.1002/mrm.21391, doi:https://doi.org/10.1002/mrm.21391.

PB14

Neal Parikh and Stephen Boyd. Proximal algorithms. Found. Trends Optim., 1(3):127–239, jan 2014. URL: https://doi.org/10.1561/2400000003, doi:10.1561/2400000003.

QBI+13

Saad Qaisar, Rana Muhammad Bilal, Wafa Iqbal, Muqaddas Naureen, and Sungyoung Lee. Compressive sensing: from theory to applications, a survey. Journal of Communications and Networks, 15(5):443–456, 2013. doi:10.1109/JCN.2013.000083.

YAJ+19

Musyyab Yousufi, Muhammad Amir, Umer Javed, Muhammad Tayyib, Suheel Abdullah, Hayat Ullah, Ijaz Mansoor Qureshi, Khurram Saleem Alimgeer, Muhammad Waseem Akram, and Khan Bahadar Khan. Application of compressive sensing to ultrasound images: a review. BioMed Research International, 2019:7861651, Nov 2019. URL: https://doi.org/10.1155/2019/7861651, doi:10.1155/2019/7861651.

ZLZ+12

Jian Zhang, Shaohui Liu, Debin Zhao, Ruiqin Xiong, and Siwei Ma. Improved total variation based image compressive sensing recovery by nonlocal regularization. 2012. arXiv:1208.3716.