Asymptotic sparsity and asymptotic incoherence in practice

Siemens published practical confirmation of some of the ideas introduced in our paper concerning asymptotic sparsity, asymptotic incoherence and resolution dependence and their role in compressed sensing MRI. In particular, they concluded the following:

Current results practically demonstrated that it is possible to break the coherence barrier by increasing the spatial resolution in MR acquisitions. This likewise implies that the full potential of the compressed sensing is unleashed only if asymptotic sparsity and asymptotic incoherence is achieved.

Further information on these ideas, including the practical benefits they lead to, can be found in another recent work of ours here.