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Poster Sessions<br />

iterative SENSE for reconstruction. Unfortunately this reconstruction is a time consuming process. We demonstrate however that the reconstruction time can<br />

be brought to a clinically acceptable level using commodity graphics hardware (GPUs).<br />

2870. Calibrationless Parallel Imaging Reconstruction by Structured Low-Rank Matrix Completion<br />

Michael Lustig 1,2 , Michael Elad 3 , John Mark Pauly 2<br />

1 Electrical Engineering and Computer Science, University of California Berkeley, Berkeley, CA, United States; 2 Electrical<br />

Engineering, Stanford University, Stanford, CA, United States; 3 Computer Science, Technion IIT, Haifa, Israel<br />

A new method for parallel imaging that requires no special autocalibration lines or calibration scans is presented. Instead, the method jointly calibrates, and<br />

synthesizes missing data from the entire acquired k-space. The proposed method is based on low-rank matrix completion, which is an extension of the<br />

compressed sensing theory to matrices. It is implemented by iterative singular value thresholding. The method can be used to reconstruct undersampled data,<br />

to generate calibration data for GRAPPA-like methods, or just to improve calibration when the calibration area is too small.<br />

2871. Context Based GRAPPA Reconstruction Using a Small Kernel<br />

Berkay Kanberoglu 1 , Lina J. Karam 1 , Josef P. Debbins 2<br />

1 Electrical Engineering, Arizona State University, Tempe, AZ, United States; 2 Keller Center for Imaging Innovation, Barrow<br />

Neurological Institute, Phoenix, AZ, United States<br />

For GRAPPA reconstruction, large kernel sizes can be disadvantageous in some cases due to the large number of GRAPPA coefficients. A system like this<br />

needs a large number of equations to construct an over-determined system. Small kernel sizes can be advantageous when there is a small number of<br />

equations. Proposed algorithm employs a small kernel size and a clustering method to produce more than one set of GRAPPA weights within a slice.<br />

2872. Sinusoidal Perturbations Improve the Noise Behavior in Parallel EPI<br />

Maximilian Haeberlin 1 , Bertram Wilm 1 , Christoph Barmet 1 , Sebastian Kozerke 1 , Georgios Katsikatsos 1 ,<br />

Klaas Paul Pruessmann 1<br />

1 Department of Electrical Engineering, ETH Zurich, Zurich, Switzerland<br />

Perturbing EPI phase encoding lines in a sinusoidal fashion improves the g-factor map for SENSE reconstruction. Concurrent field monitoring ensures<br />

artifact-free reconstruction for 3-fold undersampled data.<br />

2873. Non-Linear Inversion in Parallel MRI: Considerations on Noise Amplification in the Joint Estimation<br />

of Image and Coil Sensitivities<br />

Julien Sénégas 1 , Martin Uecker 2<br />

1 Philips Research Europe, Hamburg, Germany; 2 Biomedizinische NMR Forschungs GmbH, Göttingen, Germany<br />

Recently, iterative joint estimation algorithms have been proposed to reconstruct aliasing free images and coil sensitivities in a single step from selfcalibrating<br />

sampling trajectories such as Cartesian with variable density. Due to the non-linearity of the reconstruction method, their behavior with respect<br />

to noise amplification is more difficult to predict. In this work, we extend the non-linear inversion algorithm (NLINV) by incorporating the noise covariance<br />

of the coil array in the minimization function and by applying additional regularization for the coil sensitivities, both with the aim of improving the SNR of<br />

the reconstructed image. We present detailed results on the noise amplification properties of this joint reconstruction scheme and evaluate the proposed<br />

algorithm in vivo.<br />

2874. Optimally Regularized GRAPPA/GROWL with Experimental Verifications<br />

Wei Lin 1 , Feng Huang 1 , Hu Cheng 2 , Yu Li 1 , Arne Reykowski 1<br />

1 Advanced Concepts Development, Invivo Corporation, Philips Healthcare, Gainesville, FL, United States; 2 Indiana University,<br />

Bloomington, IN, United States<br />

The performance of GRAPPA-based parallel imaging methods can suffer when the size of the auto-calibration signal (ACS) region becomes small. Based on<br />

an analysis of condition number for GRAPPA calibration equation, an optimal Tikhonov regularization factor is proposed to improve the quality of image<br />

reconstruction. Alternatively, an optimal amount of noise can be added to the ACS data to stabilize the system. The technique was applied to both GRAPPA<br />

and GRAPPA operator for wider radial bands (GROWL), a self-calibrated radial parallel imaging methods. Results show that minimal reconstruction errors<br />

are always obtained with the proposed automatic regularization scheme.<br />

2875. Iterative Approach to Atlas Based Sparsification of Image and Theoretical Estimation (Iterative<br />

ABSINTHE)<br />

Eric Y. Pierre 1 , Nicole Seiberlich 2 , Stephen Yutzy 1 , Vikas Gulani 2 , Felix Breuer 3 , Mark Griswold 2<br />

1 Biomedical Engineering, Case Western Reserve University, Cleveland, OH, United States; 2 Departments of Radiology, Case Western<br />

Reserve University, Cleveland, OH, United States; 3 Research Center Magnetic Resonance Bavaria e.V., Würzburg, Germany<br />

The ABSINTHE technique has been shown to allow better GRAPPA reconstructions at high undersampling factors by sparsifying the undersampled image<br />

to reconstruct. This study seeks to further increase the effectiveness of ABSINTHE by improving the PCA approximation which generates this sparse image.<br />

After a first standard ABSINTHE estimation, iterative ABSINTHE uses fully-sampled eigenvectors to generate an even sparser representation of the<br />

undersampled data. The efficacy of this technique for simulated data and longitudinal simulations is demonstrated, and an improved image quality is shown<br />

for iterative ABSINTHE in comparison to the standard ABSINTHE and GRAPPA techniques.<br />

2876. Tailored 3D Random Sampling Patterns for Nonlinear Parallel Imaging<br />

Florian Knoll 1 , Christian Clason 2 , Rudolf Stollberger 1<br />

1 Institute of Medical Engineering, Graz University of Technology, Graz, Austria; 2 Institute for Mathematics and Scientific Computing,<br />

University of Graz, Graz, Austria<br />

The idea of randomized 3D Cartesian subsampling was proposed within the framework of compressed sensing. The optimal design of these sampling<br />

patterns is an open problem, especially the determination of the correct ratio of low to high frequency sample points. The goal of this work is to show that it

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