With the large number of reconstruction techniques, it was just a question of time before somebody would produce a toolbox for unifying the testing of these sparse reconstruction algorithms. This is what Ewout van den Berg, Michael P. Friedlander, Gilles Hennenfent, Felix J. Herrmann, Rayan Saab, and Ozgur Yilmaz have done by releasing Sparco.
The technical report is here.
Sparco: A Testing Framework for Sparse Reconstruction
Sparco is a framework for testing and benchmarking algorithms for sparse reconstruction. It includes a large collection of sparse reconstruction problems drawn from the imaging, compressed sensing, and geophysics literature. Sparco is also a framework for implementing new test problems and can be used as a tool for reproducible research. Sparco is implemented entirely in Matlab, and is released as open-source software under the GNU Public License.