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            "title": "Correction of off resonance-related distortion in echo-planar imaging using EPI-based field maps",
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                    "firstName": "Paul J.",
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            "abstractNote": "We present, here, a simple method for measurement and correction of off-resonance related geometric distortion in echo-planar imaging (EP1). This method uses high signal-to-noise ratio (SNR) EPI-based field maps, rapidly acquired using a series of gradient recalled images collected across a range of TE values. This field map is distorted in the same manner as the EPI images to be unwarped, providing a direct look-up table for the correct location of each pixel of data. This method adds very little scan time and is robust and easy to implement.",
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            "abstractNote": "Several aspects of blipped echo-planar imaging (EPI) are treated mathematically. An expression relating the necessary readout gradient strength and sampling time to the spatial resolution and readout duration is derived. It is shown how the net spatial resolution may be limited by the object's T2 characteristics and Bo field homogeneity, irrespective of the number of sampled points. Additionally, off-resonance effects result in a loss of spatial resolution and image distortion to a considerably greater degree than in conventional two-dimensional Fourier transform imaging. The extent of these effects is directly related to the time required to acquire the data matrix, and is therefore amplified when EPI is implemented on a standard commercial whole-body system which because of limited gradient performance uses necessarily longer sampling durations. Specific hardware modifications to a standard commercial imager are considered to allow successful EPI implementation. EPI image characteristics are compared quantitatively with those of conventional methods. © 1990 Academic Press, Inc.",
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            "abstractNote": "This thesis treats of the issue of distortion in magnetic resonance (MR) imaging, with focus on Echo Planar imaging (EPI) and anatomical 3D imaging. After a review of MR theory, the principle of image formation, an analysis of distortion in the context of MRI and field mapping principles, an analysis of the EPI image formation process, which reveals the two-dimensional nature of the EPI point-spread function (PSF), is presented, and a full 2D correction technique based on the inversion of the 4D tensor EPI imaging equation using the Conjugate Gradient (CG) method is proposed. A 1D approximation of the technique is also derived for cases where the PSF can be approximated as being one-dimensional, such as in Fourier imaging, or EPI imaging in fields with low field inhomogeneity. The proposed technique is demonstrated by means of computer simulations, and several aspects of its implementation are studied. A comparison between different correction methods based on field map data, still using computer simulations, is presented and reveals the behaviour of the different methods when applied in non-ideal conditions. Finally, the practical application of the proposed method is demonstrated on real EPI scans and gradient echo images. This work reveals some interesting characteristics of the correction method based on the CG algorithm, like fast convergence, possibility to recover from severe distortions and EPI B0-induced ghost artifacts reduction, but it also points out limitations of this correction method, such as potentially high computational cost and noise sensitivity.",
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