A singular K-space model for fast reconstruction of magnetic resonance images from undersampled data.

Reconstructing magnetic resonance images from undersampled k-space data is a challenging problem. This paper introduces a novel method of image reconstruction from undersampled k-space data based on the concept of singularizing operators and a novel singular k-space model. Exploring the sparsity of...

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Publicado en:Medical & Biological Engineering & Computing Vol. 56; no. 7; pp. 1211 - 1226
Autores principales: Luo, Jianhua, Mou, Zhiying, Qin, Binjie, Li, Wanqing, Ogunbona, Philip, Robini, Marc C., Zhu, Yuemin
Formato: Journal Article
Publicado: Springer Nature Jul2018
Acceso en línea:Ver este registro en EBSCOhost
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      pub: Springer Nature
      place: New York, New York
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        atl: A singular K-space model for fast reconstruction of magnetic resonance images from undersampled data.
      aug:
        au:
          Luo, Jianhua
          Mou, Zhiying
          Qin, Binjie
          Li, Wanqing
          Ogunbona, Philip
          Robini, Marc C.
          Zhu, Yuemin
        affil: School of Aeronautics and Astronautics, Shanghai Jiao Tong University, 200240, Shanghai, People’s Republic of China
      sug:
        subj:
          Algorithms
          Image Processing, Computer Assisted
          Models, Theoretical
          Magnetic Resonance Imaging
          Sensitivity and Specificity
          Elasticity
          Phantoms, Imaging
          Clinical Assessment Tools
          Ferrans and Powers Quality of Life Index
      ab: Reconstructing magnetic resonance images from undersampled k-space data is a challenging problem. This paper introduces a novel method of image reconstruction from undersampled k-space data based on the concept of singularizing operators and a novel singular k-space model. Exploring the sparsity of an image in the k-space, the singular k-space model (SKM) is proposed in terms of the k-space functions of a singularizing operator. The singularizing operator is constructed by combining basic difference operators. An algorithm is developed to reliably estimate the model parameters from undersampled k-space data. The estimated parameters are then used to recover the missing k-space data through the model, subsequently achieving high-quality reconstruction of the image using inverse Fourier transform. Experiments on physical phantom and real brain MR images have shown that the proposed SKM method constantly outperforms the popular total variation (TV) and the classical zero-filling (ZF) methods regardless of the undersampling rates, the noise levels, and the image structures. For the same objective quality of the reconstructed images, the proposed method requires much less k-space data than the TV method. The SKM method is an effective method for fast MRI reconstruction from the undersampled k-space data. Graphical abstract Two Real Images and their sparsified images by singularizing operator.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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