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      k-Space tutorial: an MRI educational tool for a better understanding of k-space

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          Abstract

          A main difference between Magnetic Resonance (MR) imaging and other medical imaging modalities is the control over the data acquisition and how it can be managed to finally show the adequate reconstructed image. With some basic programming adjustments, the user can modify the spatial resolution, field of view (FOV), image contrast, acquisition velocity, artifacts and so many other parameters that will contribute to form the final image. The main character and agent of all this control is called k-space, which represents the matrix where the MR data will be stored previously to a Fourier transformation to obtain the desired image.

          This work introduces 'k-Space tutorial', a MATLAB-based educational environment to learn how the image and the k-space are related, and how the image can be affected through k-space modifications. This MR imaging educational environment has learning facilities on the basic acceleration strategies that can be encountered in almost all MR scanners: scan percentage, rectangular FOV and partial Fourier imaging. It also permits one to apply low- and high-pass filtering to the k-space, and to observe how the contrast or the details are selected in the reconstructed image. It also allows one to modify the signal-to-noise ratio of the acquisition and create some artifacts on the image as a simulated movement of the patient – with variable intensity level – and some electromagnetic spikes on k-space occurring during data acquisition.

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          Most cited references8

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          AAPM/RSNA physics tutorial for residents: MR artifacts, safety, and quality control.

          Artifacts in magnetic resonance (MR) imaging result from the complex interaction of contemporary imager subsystems, including the main magnet, gradient coils, radiofrequency (RF) transmitter and receiver, and reconstruction algorithm used. An understanding of the sources of artifacts enables optimization of the MR imaging system performance. The increasing clinical use of very high magnetic field strengths, high-performance gradients, and multiple RF channels also mandates renewed attention to the biologic effects and physical safety of MR imaging. Radiologists should be aware of the potential physiologic effects of prolonged exposure to magnetic fields, acoustic noise, and RF energy during MR imaging and should use all the available methods for avoiding accidents and adverse effects. Imaging equipment should be regularly tested and monitored to ensure its stability and the uniformity of its functioning. Newly installed or upgraded MR systems should be tested by a physicist or qualified engineer before use. In addition, the authors recommend participation in the MR imaging accreditation program of the American College of Radiology to establish the initial framework for an adequate quality assurance program, which then can be further developed to fulfill local institutional needs. (c) RSNA, 2006.
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            A perspective on K-space.

            R Mezrich (1995)
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              The k-trajectory formulation of the NMR imaging process with applications in analysis and synthesis of imaging methods.

              D Twieg (2016)
              The fundamental operations of nuclear magnetic resonance (NMR) imaging can be formulated, for a large number of methods, as sampling the object distribution in the Fourier spatial-frequency domain, followed by processing the digitized data (often simply by Fourier transformation) to produce a digital image. In these methods, which include reconstruction from projections, Fourier imaging, spin-warp imaging, and echo-planar imaging, controllable gradient fields determine the points in the spatial-frequency domain which are sampled at any given time during the acquisition of data (the free induction decay, or FID). The detailed time dependence of the resulting trajectory of sample points (the k trajectory) determines the relative weight and accuracy with which image information at each spatial frequency is measured, establishing theoretical limitations on image quality achievable with a given imaging method. We demonstrate here that these considerations may be used to compare the theoretical capabilities of NMR imaging methods, and to derive new imaging methods with optimal theoretical imaging properties.
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                Author and article information

                Journal
                Biomed Imaging Interv J
                biij
                Biomedical Imaging and Intervention Journal
                Department of Biomedical Imaging, Faculty of Medicine, University of Malaya, Malaysia
                1823-5530
                01 January 2008
                Jan-Mar 2008
                : 4
                : 1
                : e15
                Affiliations
                [1 ] Electronics Engineering Department, Universitat Politècnica de València, Valencia, Spain
                [2 ] Applied Thermodynamics Department, Universitat Politècnica de València, Valencia, Spain
                [3 ] Radiology Department, Hospital Universitari Dr. Peset, Valencia, Spain
                [4 ] Radiology Department, Hospital Quirón, Valencia, Spain
                [5 ] Pediatrics and Radiology Departments, Emory University School of Medicine, Atlanta, Georgia, United States of America
                Author notes
                [* ] Present address: Electronics Engineering Departament, Universitat Politècnica de València, Camino de Vera, ES-46022, Valencia, Spain. E-mail: dmoratal@ 123456eln.upv.es (David Moratal Pérez).
                Article
                10.2349/biij.4.1.e15
                3097694
                21614308
                0176e124-cefe-44d9-9dde-0ceadacf0379
                © 2008 Biomedical Imaging and Intervention Journal

                This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

                History
                : 08 January 2008
                : 21 February 2008
                : 10 March 2008
                Categories
                Tutorial

                Radiology & Imaging
                magnetic resonance imaging,artifacts,k-space,tutorial
                Radiology & Imaging
                magnetic resonance imaging, artifacts, k-space, tutorial

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