A Compressed Sensing Framework for Magnetic Resonance Fingerprinting

Michael Davies, Gilles Puy, Pierre Vandergheynst, Yves Wiaux

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)2623-2656
Number of pages34
JournalSiam journal on imaging sciences
Issue number4
Early online date16 Dec 2014
Publication statusE-pub ahead of print - 16 Dec 2014


  • Compressed sensing
  • MRI
  • Bloch equations
  • manifolds
  • Johnston-Linderstrauss embedding


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  • EPFL Research Visit

    Davies, M.



    Project: Research

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