Perturbation method for magnetic field calculations of nonconductive objects.
Inhomogeneous magnetic fields produce artifacts in MR images including signal dropout and spatial distortion. A novel perturbative method for calculating the magnetic field to first order (error is second order) within and around nonconducting objects is presented. The perturbation parameter is the...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
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2004
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author | Jenkinson, M Wilson, J Jezzard, P |
author_facet | Jenkinson, M Wilson, J Jezzard, P |
author_sort | Jenkinson, M |
collection | OXFORD |
description | Inhomogeneous magnetic fields produce artifacts in MR images including signal dropout and spatial distortion. A novel perturbative method for calculating the magnetic field to first order (error is second order) within and around nonconducting objects is presented. The perturbation parameter is the susceptibility difference between the object and its surroundings (for example, approximately 10 ppm in the case of brain tissue and air). This method is advantageous as it is sufficiently accurate for most purposes, can be implemented as a simple convolution with a voxel-based object model, and is linear. Furthermore, the method is simple to use and can quickly calculate the field for any orientation of an object using a set of precalculated basis images. |
first_indexed | 2024-03-07T02:51:56Z |
format | Journal article |
id | oxford-uuid:adfa9316-f048-4024-9faa-7c2221f46c68 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:51:56Z |
publishDate | 2004 |
record_format | dspace |
spelling | oxford-uuid:adfa9316-f048-4024-9faa-7c2221f46c682022-03-27T03:39:25ZPerturbation method for magnetic field calculations of nonconductive objects.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:adfa9316-f048-4024-9faa-7c2221f46c68EnglishSymplectic Elements at Oxford2004Jenkinson, MWilson, JJezzard, PInhomogeneous magnetic fields produce artifacts in MR images including signal dropout and spatial distortion. A novel perturbative method for calculating the magnetic field to first order (error is second order) within and around nonconducting objects is presented. The perturbation parameter is the susceptibility difference between the object and its surroundings (for example, approximately 10 ppm in the case of brain tissue and air). This method is advantageous as it is sufficiently accurate for most purposes, can be implemented as a simple convolution with a voxel-based object model, and is linear. Furthermore, the method is simple to use and can quickly calculate the field for any orientation of an object using a set of precalculated basis images. |
spellingShingle | Jenkinson, M Wilson, J Jezzard, P Perturbation method for magnetic field calculations of nonconductive objects. |
title | Perturbation method for magnetic field calculations of nonconductive objects. |
title_full | Perturbation method for magnetic field calculations of nonconductive objects. |
title_fullStr | Perturbation method for magnetic field calculations of nonconductive objects. |
title_full_unstemmed | Perturbation method for magnetic field calculations of nonconductive objects. |
title_short | Perturbation method for magnetic field calculations of nonconductive objects. |
title_sort | perturbation method for magnetic field calculations of nonconductive objects |
work_keys_str_mv | AT jenkinsonm perturbationmethodformagneticfieldcalculationsofnonconductiveobjects AT wilsonj perturbationmethodformagneticfieldcalculationsofnonconductiveobjects AT jezzardp perturbationmethodformagneticfieldcalculationsofnonconductiveobjects |