A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data
In magnetic resonance imaging (MRI), methods that use a non-Cartesian grid in k-space are becoming increasingly important. In this paper, we use a recently proposed implicit discretisation scheme which generalises the standard approach based on gridding. While the latter succeeds for sufficiently un...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/2007/24727 |
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| _version_ | 1832564990948671488 |
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| author | Tobias Knopp Stefan Kunis Daniel Potts |
| author_facet | Tobias Knopp Stefan Kunis Daniel Potts |
| author_sort | Tobias Knopp |
| collection | DOAJ |
| description | In magnetic resonance imaging (MRI), methods that use a non-Cartesian grid in k-space are becoming increasingly important. In this paper, we use a recently proposed implicit discretisation scheme which generalises the standard approach based on gridding. While the latter succeeds for sufficiently uniform sampling sets and accurate estimated density compensation weights, the implicit method further improves the reconstruction quality when the sampling scheme or the weights are less regular. Both approaches can be solved efficiently with the nonequispaced FFT. Due to several new techniques for the storage of an involved sparse matrix, our examples include also the reconstruction of a large 3D data set. We present four case studies and report on efficient implementation of the related algorithms. |
| format | Article |
| id | doaj-art-d4774ec2ff08455babba871f2f77c00d |
| institution | Kabale University |
| issn | 1687-4188 1687-4196 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-d4774ec2ff08455babba871f2f77c00d2025-02-03T01:09:49ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962007-01-01200710.1155/2007/2472724727A Note on the Iterative MRI Reconstruction from Nonuniform k-Space DataTobias Knopp0Stefan Kunis1Daniel Potts2Institute of Mathematics, University of Lübeck, Lübeck 23538, GermanyDepartment of Mathematics, Chemnitz University of Technology, Chemnitz 09107, GermanyDepartment of Mathematics, Chemnitz University of Technology, Chemnitz 09107, GermanyIn magnetic resonance imaging (MRI), methods that use a non-Cartesian grid in k-space are becoming increasingly important. In this paper, we use a recently proposed implicit discretisation scheme which generalises the standard approach based on gridding. While the latter succeeds for sufficiently uniform sampling sets and accurate estimated density compensation weights, the implicit method further improves the reconstruction quality when the sampling scheme or the weights are less regular. Both approaches can be solved efficiently with the nonequispaced FFT. Due to several new techniques for the storage of an involved sparse matrix, our examples include also the reconstruction of a large 3D data set. We present four case studies and report on efficient implementation of the related algorithms.http://dx.doi.org/10.1155/2007/24727 |
| spellingShingle | Tobias Knopp Stefan Kunis Daniel Potts A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data International Journal of Biomedical Imaging |
| title | A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data |
| title_full | A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data |
| title_fullStr | A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data |
| title_full_unstemmed | A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data |
| title_short | A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data |
| title_sort | note on the iterative mri reconstruction from nonuniform k space data |
| url | http://dx.doi.org/10.1155/2007/24727 |
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