Calculation of susceptibility through multiple orientation sampling (COSMOS): A method for conditioning the inverse problem from measured magnetic field map to susceptibility source image in MRI Academic Article uri icon


MeSH Major

  • Algorithms
  • Image Interpretation, Computer-Assisted
  • Magnetic Resonance Imaging
  • Models, Biological


  • Magnetic susceptibility differs among tissues based on their contents of iron, calcium, contrast agent, and other molecular compositions. Susceptibility modifies the magnetic field detected in the MR signal phase. The determination of an arbitrary susceptibility distribution from the induced field shifts is a challenging, ill-posed inverse problem. A method called "calculation of susceptibility through multiple orientation sampling" (COSMOS) is proposed to stabilize this inverse problem. The field created by the susceptibility distribution is sampled at multiple orientations with respect to the polarization field, B(0), and the susceptibility map is reconstructed by weighted linear least squares to account for field noise and the signal void region. Numerical simulations and phantom and in vitro imaging validations demonstrated that COSMOS is a stable and precise approach to quantify a susceptibility distribution using MRI.

publication date

  • January 2009



  • Academic Article



  • eng

Digital Object Identifier (DOI)

  • 10.1002/mrm.21828

PubMed ID

  • 19097205

Additional Document Info

start page

  • 196

end page

  • 204


  • 61


  • 1