Newton Method to Recover the Phase Accumulated during MRI Data Acquisition
For an internal conductivity image, magnetic resonance electrical impedance tomography (MREIT) injects an electric current into an object and measures the induced magnetic flux density, which appears in the phase part of the acquired MR image data. To maximize signal intensity, the injected current...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/973781 |
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| _version_ | 1832559217316200448 |
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| author | Oh-In Kwon Chunjae Park |
| author_facet | Oh-In Kwon Chunjae Park |
| author_sort | Oh-In Kwon |
| collection | DOAJ |
| description | For an internal conductivity image, magnetic resonance electrical impedance tomography (MREIT) injects an electric current into an object and measures the induced magnetic flux density, which appears in the phase part of the acquired MR image data. To maximize signal intensity, the injected current nonlinear encoding (ICNE) method extends the duration of the current injection until the end of the MR data reading. It disturbs the usual linear encoding of the MR k-space data used in the inverse Fourier transform. In this study, we estimate the magnetic flux density, which is recoverable from nonlinearly encoded MR k-space data by applying a Newton method. |
| format | Article |
| id | doaj-art-7308b958348d49d48c6a7f1073977294 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7308b958348d49d48c6a7f10739772942025-02-03T01:30:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/973781973781Newton Method to Recover the Phase Accumulated during MRI Data AcquisitionOh-In Kwon0Chunjae Park1Department of Mathematics, Konkuk University, Seoul 143-701, Republic of KoreaDepartment of Mathematics, Konkuk University, Seoul 143-701, Republic of KoreaFor an internal conductivity image, magnetic resonance electrical impedance tomography (MREIT) injects an electric current into an object and measures the induced magnetic flux density, which appears in the phase part of the acquired MR image data. To maximize signal intensity, the injected current nonlinear encoding (ICNE) method extends the duration of the current injection until the end of the MR data reading. It disturbs the usual linear encoding of the MR k-space data used in the inverse Fourier transform. In this study, we estimate the magnetic flux density, which is recoverable from nonlinearly encoded MR k-space data by applying a Newton method.http://dx.doi.org/10.1155/2012/973781 |
| spellingShingle | Oh-In Kwon Chunjae Park Newton Method to Recover the Phase Accumulated during MRI Data Acquisition Journal of Applied Mathematics |
| title | Newton Method to Recover the Phase Accumulated during MRI Data Acquisition |
| title_full | Newton Method to Recover the Phase Accumulated during MRI Data Acquisition |
| title_fullStr | Newton Method to Recover the Phase Accumulated during MRI Data Acquisition |
| title_full_unstemmed | Newton Method to Recover the Phase Accumulated during MRI Data Acquisition |
| title_short | Newton Method to Recover the Phase Accumulated during MRI Data Acquisition |
| title_sort | newton method to recover the phase accumulated during mri data acquisition |
| url | http://dx.doi.org/10.1155/2012/973781 |
| work_keys_str_mv | AT ohinkwon newtonmethodtorecoverthephaseaccumulatedduringmridataacquisition AT chunjaepark newtonmethodtorecoverthephaseaccumulatedduringmridataacquisition |