k-space

Changed by Rohit Sharma, 20 Apr 2024
Disclosures - updated 18 Aug 2023: Nothing to disclose

Updates to Article Attributes

Body was changed:

k-space 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 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 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.  InIn general:

  • central regions of the k-space encode contrast information

  • peripheral regions of the k-space encode spatial resolution

Relevance

Knowledge of the k-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">Fourier transform</a>&nbsp;<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. &nbsp;In general:</p><ul>
  • +<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>&nbsp;<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>

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