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  <title>NITRC News Group Forum: fast-approximate-stochastic-tractography</title>
  <link>http://www.nitrc.org/forum/forum.php?forum_id=2354</link>
  <description>&lt;p class=&quot;abstract&quot;&gt;&lt;div class=&quot;Abstract&quot; lang=&quot;en&quot;&gt;&lt;a name=&quot;Abs1&quot;&gt;&lt;/a&gt;&lt;span class=&quot;AbstractHeading&quot;&gt;Abstract&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;div class=&quot;normal&quot;&gt;Many different probabilistic tractography methods have been proposed in the literature to overcome the limitations of classical
 deterministic tractography: i) lack of quantitative connectivity information; and ii) robustness to noise, partial volume
 effects and selection of seed region. However, these methods rely on Monte Carlo sampling techniques that are computationally
 very demanding. This study presents an approximate stochastic tractography algorithm (FAST) that can be used interactively,
 as opposed to having to wait several minutes to obtain the output after marking a seed region. In FAST, tractography is formulated
 as a Markov chain that relies on a transition tensor. The tensor is designed to mimic the features of a well-known probabilistic
 tractography method based on a random walk model and Monte-Carlo sampling, but can also accommodate other propagation rules.
 Compared to the baseline algorithm, our method circumvents the sampling process and provides a deterministic solution at the
 expense of partially sacrificing sub-voxel accuracy. Therefore, the method is strictly speaking not stochastic, but provides
 a probabilistic output in the spirit of stochastic tractography methods. FAST was compared with the random walk model using
 real data from 10 patients in two different ways: 1. the probability maps produced by the two methods on five well-known fiber
 tracts were directly compared using metrics from the image registration literature; and 2. the connectivity measurements between
 different regions of the brain given by the two methods were compared using the correlation coefficient ρ. The results show
 that the connectivity measures provided by the two algorithms are well-correlated (&lt;i&gt;ρ&lt;/i&gt; = 0.83), and so are the probability maps (normalized cross correlation 0.818 ± 0.081). The maps are also qualitatively (i.e.
 visually) very similar. The proposed method achieves a 60x speed-up (7&amp;nbsp;s vs. 7&amp;nbsp;min) over the Monte Carlo sampling scheme,
 therefore enabling interactive probabilistic tractography: the user can quickly modify the seed region if he is not satisfied
 with the output without having to wait on average 7&amp;nbsp;min.
 &lt;/div&gt;
 &lt;/div&gt;&lt;/p&gt;&lt;ul&gt;
	&lt;li&gt;&lt;span class=&quot;labelName&quot;&gt;Content Type &lt;/span&gt;&lt;span class=&quot;labelValue&quot;&gt;Journal Article&lt;/span&gt;&lt;/li&gt;&lt;li&gt;Category Original Article&lt;/li&gt;&lt;li&gt;Pages 1-13&lt;/li&gt;&lt;li&gt;DOI 10.1007/s12021-011-9113-2&lt;/li&gt;&lt;li&gt;&lt;span class=&quot;labelName&quot;&gt;Authors&lt;/span&gt;&lt;ul&gt;
		&lt;li&gt;Juan Eugenio Iglesias, UCLA, Los Angeles, CA, USA&lt;/li&gt;&lt;li&gt;Paul M. Thompson, UCLA, Los Angeles, CA, USA&lt;/li&gt;&lt;li&gt;Cheng-Yi Liu, UCLA, Los Angeles, CA, USA&lt;/li&gt;&lt;li&gt;Zhuowen Tu, UCLA, Los Angeles, CA, USA&lt;/li&gt;
	&lt;/ul&gt;&lt;/li&gt;
&lt;/ul&gt;&lt;ul class=&quot;parents&quot;&gt;
	&lt;ul class=&quot;details&quot;&gt;
		&lt;li&gt;&lt;span class=&quot;header labelName&quot;&gt;Journal &lt;/span&gt;&lt;span class=&quot;labelValue&quot;&gt;&lt;a href=&quot;http://www.springerlink.com/content/120559/&quot;&gt;Neuroinformatics&lt;/a&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span class=&quot;labelName&quot;&gt;Online ISSN &lt;/span&gt;&lt;span class=&quot;labelValue&quot;&gt;1559-0089&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span class=&quot;labelName&quot;&gt;Print ISSN &lt;/span&gt;&lt;span class=&quot;labelValue&quot;&gt;1539-2791&lt;/span&gt;&lt;/li&gt;
	&lt;/ul&gt;
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