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agentmess committed Jan 6, 2025
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2 changes: 1 addition & 1 deletion Accelerated Imaging Methods.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Artifacts.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion FOV and Resolution.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Fast Imaging Pulse Sequences.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Fun with RF Pulses.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Gradient and Spin Echoes.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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6 changes: 3 additions & 3 deletions Image Reconstruction.html
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<link rel="index" title="Index" href="genindex.html" />
<link rel="search" title="Search" href="search.html" />
<link rel="next" title="Signal to Noise Ratio (SNR)" href="Signal%20to%20Noise%20Ratio.html" />
<link rel="prev" title="K-space Encoding" href="K-space.html" />
<link rel="prev" title="K-space" href="K-space.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
</head>
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="current nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1 current active"><a class="current reference internal" href="#">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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<i class="fa-solid fa-angle-left"></i>
<div class="prev-next-info">
<p class="prev-next-subtitle">previous</p>
<p class="prev-next-title">K-space Encoding</p>
<p class="prev-next-title">K-space</p>
</div>
</a>
<a class="right-next"
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2 changes: 1 addition & 1 deletion Introduction.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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10 changes: 5 additions & 5 deletions K-space.html
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<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />

<title>K-space Encoding &#8212; Principles of MRI</title>
<title>K-space &#8212; Principles of MRI</title>



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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="current nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1 current active"><a class="current reference internal" href="#">K-space Encoding</a></li>
<li class="toctree-l1 current active"><a class="current reference internal" href="#">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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<div id="jb-print-docs-body" class="onlyprint">
<h1>K-space Encoding</h1>
<h1>K-space</h1>
<!-- Table of contents -->
<div id="print-main-content">
<div id="jb-print-toc">
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<div id="searchbox"></div>
<article class="bd-article" role="main">

<section class="tex2jax_ignore mathjax_ignore" id="k-space-encoding">
<h1>K-space Encoding<a class="headerlink" href="#k-space-encoding" title="Permalink to this heading">#</a></h1>
<section class="tex2jax_ignore mathjax_ignore" id="k-space">
<h1>K-space<a class="headerlink" href="#k-space" title="Permalink to this heading">#</a></h1>
<p>MRI is a so-called Fourier imaging technique, where data is acquired in the Fourier Transform domain. The Fourier Transform domain is referred to as “k-space”. This section describes the how to characterize MRI spatial encoding using k-space, including frequency encoding, phase encoding and other k-space trajectories.</p>
<section id="learning-goals">
<h2>Learning Goals<a class="headerlink" href="#learning-goals" title="Permalink to this heading">#</a></h2>
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2 changes: 1 addition & 1 deletion Key MRI Concepts.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion MR Physics - Bloch Equation.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion MRI Contrast.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion MRI Math Concepts.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion MRI Notation.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion MRI Signal Equation.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion MRI System.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Magnetic Fields and RF Coils.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Pulse Sequence.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Questions.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion RF Pulses.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Signal to Noise Ratio.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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2 changes: 1 addition & 1 deletion Software_Resources.html
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Formation</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="Spatial%20Encoding.html">Spatial Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space Encoding</a></li>
<li class="toctree-l1"><a class="reference internal" href="K-space.html">K-space</a></li>
<li class="toctree-l1"><a class="reference internal" href="Image%20Reconstruction.html">Image Reconstruction</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Image Characteristics</span></p>
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