Adaptive Sampling and Reconstruction for Sparse Magnetic Resonance Imaging

  • Laura Ciancarella
  • Danilo Avola
  • Giuseppe Placidi
Part of the Lecture Notes in Computational Vision and Biomechanics book series (LNCVB, volume 15)


An adaptive acquisition sequence for Sparse 2D Magnetic Resonance Imaging (MRI) is presented. The method combines random sampling of Cartesian trajectories with an adaptive 2D acquisition of radial projections. It is based on the evaluation of the information content of a small percentage of the k-space data collected randomly to identify radial blades of k-space coefficients having maximum information content. The information content of each direction is evaluated by calculating an entropy function defined on the power spectrum of the projections. The images are obtained by using a non linear reconstruction strategy, based on the homotopic \(\mathrm{L}_{0}\)-norm, on the sparse data. The method is tested on MRI images and it is also compared to the weighted Compressed Sensing. Some results are reported and discussed.


Magnetic resonance imaging (MRI) Compressed sensing (CS) \(\mathrm{L}_{1}\)-norm Radial adaptive acquisition Homotopic \(\mathrm{L}_{0}\)-norm. 



We gratefully acknowledge Abruzzo Region for the financial con-tribution to the project through the European Social Fund (FSE). In addition, we acknowledge Dr. Joshua Trzasko, for having pro-vided useful details to implement the homotopic L0-norm minimiza-tion, and the other members of Computer Vision Laboratory and of AAVI Laboratory for their helpful contribution, in particular Mrs Carmelita Marinelli for technical assistance.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Laura Ciancarella
    • 1
  • Danilo Avola
    • 1
  • Giuseppe Placidi
    • 1
  1. 1.Department of Life, Health and Environmental SciencesUniversity of L’AquilaL’AquilaItaly

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