2013/12/09 by Mike E. Davies, Davies, Mike, Gilles Puy +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Medicine · #Advanced MRI Techniques and Applications #Advanced NMR Techniques and Applications #Electron Spin Resonance Studies #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.1312.2465
openalex publication_date 2013/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Inspired by the recently proposed Magnetic Resonance Fingerprinting (MRF) technique, we develop a principled compressed sensing framework for quantitative MRI. The three key components are: a random pulse excitation sequence following the MRF technique; a random EPI subsampling strategy and an iterative projection algorithm that imposes consistency with the Bloch equations. We show that theoretically, as long as the excitation sequence possesses an appropriate form of persistent excitation, we are able to accurately recover the proton density, T1, T2 and off-resonance maps simultaneously from a limited number of samples. These results are further supported through extensive simulations using a brain phantom.