The folks at Graz University of Technology in Austria have come up with a way to implement Chambolle's algorithm for CS-TV using an FPGU as featured in the following presentation entitled:
Real Time Elimination of Undersampling Artifacts in CE MRA using Variational Denoising on Graphics Hardware by Florian Knoll, Markus Unger, Franz Ebner, Rudolf Stollberger. The abstract reads:
The paper is here and the associated video is here.
Undersampled imaging strategies with state of the art reconstruction methods like compressed sensing, which reformulate image reconstruction as a constrained optimization problem, have the potential to deliver CE MRA images with high spatial and temporal resolution. The drawback of these algorithms is their long reconstruction time which makes it impossible to use them in clinical practice. This study demonstrates that these optimization problems can be solved on modern graphic processing units (GPUs), with computation times that allow real time imaging.
Here is the noteworthy excerpt from the conclusion of the paper:
The GPU implementation facilitates image reconstruction times that are far below the corresponding acquisition times.
I have added this hardware into the Compressive Hardware section.