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110


Low rank alternating direction method of multipliers reconstruction for MR fingerprinting

Asslander, Jakob; Cloos, Martijn A; Knoll, Florian; Sodickson, Daniel K; Hennig, Jurgen; Lattanzi, Riccardo
PURPOSE: The proposed reconstruction framework addresses the reconstruction accuracy, noise propagation and computation time for magnetic resonance fingerprinting. METHODS: Based on a singular value decomposition of the signal evolution, magnetic resonance fingerprinting is formulated as a low rank (LR) inverse problem in which one image is reconstructed for each singular value under consideration. This LR approximation of the signal evolution reduces the computational burden by reducing the number of Fourier transformations. Also, the LR approximation improves the conditioning of the problem, which is further improved by extending the LR inverse problem to an augmented Lagrangian that is solved by the alternating direction method of multipliers. The root mean square error and the noise propagation are analyzed in simulations. For verification, in vivo examples are provided. RESULTS: The proposed LR alternating direction method of multipliers approach shows a reduced root mean square error compared to the original fingerprinting reconstruction, to a LR approximation alone and to an alternating direction method of multipliers approach without a LR approximation. Incorporating sensitivity encoding allows for further artifact reduction. CONCLUSION: The proposed reconstruction provides robust convergence, reduced computational burden and improved image quality compared to other magnetic resonance fingerprinting reconstruction approaches evaluated in this study. Magn Reson Med, 2017. (c) 2017 International Society for Magnetic Resonance in Medicine.
PMCID:5585028
PMID: 28261851
ISSN: 1522-2594
CID: 2476912

Multi-Compartment MR Fingerprinting via Reweighted-l1-norm Regularization [Meeting Abstract]

Tang, Sunli; Asslander, Jakob; Tannenbaum, Lee; Lattanzi, Riccardo; Cloos, Martijn; Knoll, Florian; Fernandez-Granda, Carlos
ORIGINAL:0014725
ISSN: 1524-6965
CID: 4535172

Regularizer Performance for SparseCT Image [Meeting Abstract]

Muckley, Matthew J; Chen, Baiyu; Vahle, Thomas; Sodickson, Aaron; Knoll, Florian; Sodickson, Daniel K; Otazo, Ricardo
ORIGINAL:0014726
ISSN: n/a
CID: 4535182

L2 or not L2: impact of loss function design for deep learning MRI reconstruction [Meeting Abstract]

Hammernik, Kerstin; Knoll, Florian; Sodickson, Daniel K; Pock, Thomas
ORIGINAL:0014693
ISSN: 1524-6965
CID: 4534392

Preconditioned ADMM with Nonlinear Operator Constraint

Chapter by: Benning, Martin; Knoll, Florian; Schonlieb, Carola-Bibiane; Valkonen, Tuomo
in: System Modeling and Optimization by
[S.l.] : Springer, 2017
pp. 117-126
ISBN: 978-3-319-55794-6
CID: 4534352

On the influence of sampling pattern design on deep learning-based MRI reconstruction [Meeting Abstract]

Hammernik, Kerstin; Knoll, Florian; Sodickson, Daniel K; Pock, Thomas
ORIGINAL:0014702
ISSN: 1524-6965
CID: 4534522

Accelerated knee imaging using a deep learning based reconstruction [Meeting Abstract]

Knoll, Florian; Hammernik, Kerstin; Garwood, Elisabeth; Hirschmann, Anna; Rybak, Leon; Bruno, Mary; Block, Kai Tobias; Babb, James; Pock, Thomas; Sodickson, Daniel K; Recht, Michael P
ORIGINAL:0014707
ISSN: 1524-6965
CID: 4534572

Leveraging the potential of neural networks for image reconstruction [Meeting Abstract]

Knoll, Florian
This talk will provide an introduction to the use of machine learning and neural networks in the field of MR image reconstruction. We will use the example of reconstruction from undersampled data from accelerated acquisitions throughout the talk and will base our formulation on iterative reconstruction methods as used in compressed sensing (CS). We will formulate a network architecture based reconstruction that can be seen as a generalization of CS, and explain how we can learn an entire image reconstruction procedure. Using selected examples, we will discuss both advantages and challenges, covering topics like reconstruction time, design of the training procedure, error metrics and training efficiency and validation of image quality
ORIGINAL:0014711
ISSN: 1524-6965
CID: 4534612

SparseCT: Interrupted-beam acquisition and sparse reconstruction for radiation dose reduction [Meeting Abstract]

Koesters, Thomas; Knoll, Florian; Sodickson, Aaron; Sodickson, Daniel K.; Otazo, Ricardo
ISI:000405562100025
ISSN: 0277-786x
CID: 4533852

PET reconstruction with non-smooth gradient-based priors

Chapter by: Schramm, G.; Holler, M.; Koesters, T.; Boada, F.; Knoll, F.; Bredies, K.; Nuyts, J.
in: 2016 IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop, NSS/MIC/RTSD 2016 by
[S.l.] : Institute of Electrical and Electronics Engineers Inc., 2017
pp. ?-?
ISBN: 9781509016426
CID: 4534142