IMAGE RECONSTRUCTION IN THE GRAPPA ALGORITHM FORMALISM

In this paper is presented a novel parallel image reconstruction algorithm that follows the same formalism as the existing GRAPPA reconstruction, and is termed as the extended GRAPPA algorithm, which is equivalent to the generalized SENSE (GenSENSE) algorithm in reconstructing a high-resolution sensitivity-invariant MR image. Based on this understanding, a concept of weight map is introduced for reconstruction, and the existing GRAPPA algorithm is further interpreted as an approximate of the extended GRAPPA algorithm by selectively choosing weights of significant value in the map for reconstruction

[1]  P. Boesiger,et al.  Advances in sensitivity encoding with arbitrary k‐space trajectories , 2001, Magnetic resonance in medicine.

[2]  Z P Liang,et al.  A generalized series approach to MR spectroscopic imaging. , 1991, IEEE transactions on medical imaging.

[3]  Robin M Heidemann,et al.  SMASH, SENSE, PILS, GRAPPA: How to Choose the Optimal Method , 2004, Topics in magnetic resonance imaging : TMRI.

[4]  Mark Bydder,et al.  Generalized SMASH imaging , 2002, Magnetic resonance in medicine.

[5]  Mark A. Griswold,et al.  AUTO-SMASH: A self-calibrating technique for SMASH imaging , 1998 .

[6]  Klaas P Pruessmann,et al.  Encoding and reconstruction in parallel MRI , 2006, NMR in biomedicine.

[7]  P M Jakob,et al.  VD‐AUTO‐SMASH imaging , 2001, Magnetic resonance in medicine.

[8]  Robin M Heidemann,et al.  Generalized autocalibrating partially parallel acquisitions (GRAPPA) , 2002, Magnetic resonance in medicine.

[9]  D. Sodickson Tailored SMASH image reconstructions for robust in vivo parallel MR imaging , 2000, Magnetic resonance in medicine.

[10]  Matthias F. Mueller,et al.  Parallel magnetic resonance imaging using the GRAPPA operator formalism , 2005, Magnetic resonance in medicine.

[11]  P. Boesiger,et al.  SENSE: Sensitivity encoding for fast MRI , 1999, Magnetic resonance in medicine.

[12]  P. Roemer,et al.  The NMR phased array , 1990, Magnetic resonance in medicine.

[13]  W. Manning,et al.  Simultaneous acquisition of spatial harmonics (SMASH): Fast imaging with radiofrequency coil arrays , 1997, Magnetic resonance in medicine.

[14]  Jiongjiong Wang,et al.  Improved data reconstruction method for GRAPPA , 2005, Magnetic resonance in medicine.

[15]  Daniel K Sodickson,et al.  3Parallel magnetic resonance imaging with adaptive radius in k‐space (PARS): Constrained image reconstruction using k‐space locality in radiofrequency coil encoded data , 2005, Magnetic resonance in medicine.