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Alternating direction of multipliers method for parallel MRI reconstruction

  • US 8,879,811 B2
  • Filed: 02/27/2013
  • Issued: 11/04/2014
  • Est. Priority Date: 03/28/2012
  • Status: Active Grant
First Claim
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1. A method for reconstructing parallel magnetic resonance images (MRI), comprising:

  • providing a set of acquired k-space MR image data y; and

    finding a target MR image x that minimizes ½



    Fv−

    y∥

    22



    z∥

    1 wherein v=Sx and z=Wx wherein S is a diagonal matrix containing sensitivity maps of coil elements in an MR receiver array, F is an FFT matrix wherein FFH=I and H denotes a Hermitian adjoint matrix, W is a redundant Haar wavelet matrix satisfying WTW=I, wherein I is an identity matrix, and λ



    0 is a regularization parameter, by updating

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