k-space

Changed by Daniel J Bell, 21 Jun 2019

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K spacek-space
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K spacek-space is an abstract concept and refers refers to a data matrix containing the raw MRI data. This data is subjected to mathematical function or formula called a transform to generate the final image. A discrete Fourier or fast Fourier transform 1-3 is generally used though other transforms such as the Hartley 4 can also work.

Discussion

A single slice corresponds to a k space-space plane acquired in real-time. Each point on the k space contains-space contains specific frequency, phase (x,y coordinates) and signal intensity information (brightness). Inverse FT is applied after k space-space acquisition to derive the final image. Each pixel in the resultant image is the weighted sum of all the individual points in the k-space. Hence, disruption of any point in the k-space translates into some form form of final image distortion, determined by the frequency- and phase-related data stored in that particular point.  In general:

  • central regions of the k space-space encode contrast information
  • peripheral regions of the k space-space encode spatial resolution

Relevance

Knowledge of the k space-space is essential as it relates to different techniques of image acquisition and explains several MRI artifacts.

  • -<p><strong>K space </strong>is an abstract concept and refers to a data matrix containing the raw MRI data. This data is subjected to mathematical function or formula called a transform to generate the final image. A discrete Fourier or fast <a href="/articles/fourier-transform" title="Fourier transform">Fourier transform</a> <sup>1-3</sup> is generally used though other transforms such as the Hartley <sup>4</sup> can also work.</p><h4>Discussion</h4><p>A single slice corresponds to a k space plane acquired in real-time. Each point on the k space contains specific frequency, phase (x,y coordinates) and signal intensity information (brightness). Inverse FT is applied after k space acquisition to derive the final image. Each pixel in the resultant image is the weighted sum of all the individual points in the k-space. Hence, disruption of any point in the k-space translates into some form of final image distortion, determined by the frequency- and phase-related data stored in that particular point.  In general:</p><ul>
  • -<li>central regions of the k space encode contrast information</li>
  • -<li>peripheral regions of the k space encode spatial resolution </li>
  • -</ul><h4>Relevance</h4><p>Knowledge of the k space is essential as it relates to different techniques of image acquisition and explains several MRI artifacts.</p>
  • +<p><strong>k-space </strong>is an abstract concept and refers to a data matrix containing the raw MRI data. This data is subjected to mathematical function or formula called a transform to generate the final image. A discrete Fourier or fast <a href="/articles/fourier-transform">Fourier transform</a> <sup>1-3</sup> is generally used though other transforms such as the Hartley <sup>4</sup> can also work.</p><h4>Discussion</h4><p>A single slice corresponds to a k-space plane acquired in real-time. Each point on the k-space contains specific frequency, phase (x,y coordinates) and signal intensity information (brightness). Inverse FT is applied after k-space acquisition to derive the final image. Each pixel in the resultant image is the weighted sum of all the individual points in the k-space. Hence, disruption of any point in the k-space translates into some form of final image distortion, determined by the frequency- and phase-related data stored in that particular point.  In general:</p><ul>
  • +<li>central regions of the k-space encode contrast information</li>
  • +<li>peripheral regions of the k-space encode spatial resolution</li>
  • +</ul><h4>Relevance</h4><p>Knowledge of the k-space is essential as it relates to different techniques of image acquisition and explains several MRI artifacts.</p>

References changed:

  • 3. F. W. Wehrli. Fast Scan Magnetic Resonance. (1991) <span class="ref_v4"></span>
  • 3. Wehrli FW. Fast-Scan Magnetic Resonance: Principles and Applications. Raven Press. (1991)

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K-Space Space

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