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	<updated>2026-07-12T08:46:19Z</updated>
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		<title>imported&gt;Psych204B: Created page with &#039;Back to Psych 204 Projects 2009    &lt;br&gt;   = Background =  You can use subsections if you like.  Below is an example of a retinotopic map.  Or, to be p…&#039;</title>
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		<updated>2012-03-11T07:50:08Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;Back to &lt;a href=&quot;/psych221wiki/index.php?title=Psych204-Projects-2009&quot; title=&quot;Psych204-Projects-2009&quot;&gt;Psych 204 Projects 2009&lt;/a&gt;    &amp;lt;br&amp;gt;   = Background =  You can use subsections if you like.  Below is an example of a retinotopic map.  Or, to be p…&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Back to [[Psych204-Projects-2009 |Psych 204 Projects 2009]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Background =&lt;br /&gt;
&lt;br /&gt;
You can use subsections if you like. &lt;br /&gt;
Below is an example of a retinotopic map.  Or, to be precise, below &amp;#039;&amp;#039;will&amp;#039;&amp;#039; be an example of a retinotopic map once the image is uploaded. To add an image, simply put text like this inside double brackets &amp;#039;MyFile.jpg | My figure caption&amp;#039;. When you save this text and click on the link, the wiki will ask you for the figure. &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
[[File:Example.jpg | Figure 1]]&lt;br /&gt;
&lt;br /&gt;
Below is another example of a reinotopic map in a different subject.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
[[File:Example2.jpg | Figure 2]]&lt;br /&gt;
&lt;br /&gt;
Once you upload the images, they look like this. Note that you can control many features of the images, like whether to show a thumbnail, and the display resolution.&lt;br /&gt;
[[File:Example3.jpg |thumb|300px|center| Figure 3]]&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== MNI space ==&lt;br /&gt;
&lt;br /&gt;
MNI is an abbreviation for [http://en.wikipedia.org/wiki/Montreal_Neurological_Institute Montreal Neurological Institute].&lt;br /&gt;
&lt;br /&gt;
= Methods =&lt;br /&gt;
== Measuring retinotopic maps ==&lt;br /&gt;
Retinotopic maps were obtained in 5 subjects using Population Receptive Field mapping methods [http://white.stanford.edu/~brian/papers/mri/2007-Dumoulin-NI.pdf Dumoulin and Wandell (2008)]. These data were collected for another [http://www.journalofvision.org/9/8/768/ research project] in the Wandell lab. We re-analyzed the data for this project, as described below.   &lt;br /&gt;
&lt;br /&gt;
=== Subjects ===&lt;br /&gt;
Subjects were 5 healthy volunteers.&lt;br /&gt;
&lt;br /&gt;
=== MR acquisition ===&lt;br /&gt;
Data were obtained on a GE scanner. Et cetera.&lt;br /&gt;
&lt;br /&gt;
=== MR Analysis ===&lt;br /&gt;
The MR data was analyzed using [http://white.stanford.edu/newlm/index.php/MrVista mrVista] software tools. &lt;br /&gt;
&lt;br /&gt;
==== Pre-processing ====&lt;br /&gt;
All data were slice-time corrected, motion corrected, and repeated scans were averaged together to create a single average scan for each subject. Et cetera.&lt;br /&gt;
&lt;br /&gt;
==== PRF model fits ====&lt;br /&gt;
PRF models were fit with a 2-gaussian model. &lt;br /&gt;
&lt;br /&gt;
==== MNI space ====&lt;br /&gt;
After a pRF model was solved for each subject, the model was trasnformed into MNI template space. This was done by first aligning the high resolution t1-weighted anatomical scan from each subject to an MNI template. Since the pRF model was coregistered to the t1-anatomical scan, the same alignment matrix could then be applied to the pRF model. &amp;lt;br&amp;gt;&lt;br /&gt;
Once each pRF model was aligned to MNI space, 4 model parameters - x, y, sigma, and r^2 - were averaged across each of the 6 subjects  in each voxel.&lt;br /&gt;
&lt;br /&gt;
Et cetera.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Results - What you found =&lt;br /&gt;
&lt;br /&gt;
== Retinotopic models in native space ==&lt;br /&gt;
Some text. Some analysis. Some figures.&lt;br /&gt;
&lt;br /&gt;
== Retinotopic models in individual subjects transformed into MNI space ==&lt;br /&gt;
Some text. Some analysis. Some figures.&lt;br /&gt;
&lt;br /&gt;
== Retinotopic models in group-averaged data on the MNI template brain ==&lt;br /&gt;
Some text. Some analysis. Some figures. Maybe some equations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Equations===&lt;br /&gt;
If you want to use equations, you can use the same formats that are use on wikipedia. &amp;lt;br&amp;gt; &lt;br /&gt;
&amp;#039;&amp;#039;See wikimedia help on  [http://meta.wikimedia.org/wiki/Help:Displaying_a_formula formulas] for help.&amp;#039;&amp;#039; &amp;lt;br&amp;gt;&lt;br /&gt;
This example of equation use is copied and pasted from [http://en.wikipedia.org/wiki/Discrete_Fourier_transform wikipedia&amp;#039;s article on the DFT]. &lt;br /&gt;
&lt;br /&gt;
The [[sequence]] of &amp;#039;&amp;#039;N&amp;#039;&amp;#039; [[complex number]]s &amp;#039;&amp;#039;x&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt;, ..., &amp;#039;&amp;#039;x&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;&amp;#039;&amp;#039;N&amp;#039;&amp;#039;−1&amp;lt;/sub&amp;gt; is transformed into the  sequence of &amp;#039;&amp;#039;N&amp;#039;&amp;#039; complex numbers &amp;#039;&amp;#039;X&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt;, ..., &amp;#039;&amp;#039;X&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;&amp;#039;&amp;#039;N&amp;#039;&amp;#039;−1&amp;lt;/sub&amp;gt; by the DFT according to the formula:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;X_k = \sum_{n=0}^{N-1} x_n e^{-\frac{2 \pi i}{N} k n} \quad \quad k = 0, \dots, N-1&amp;lt;/math&amp;gt;   &lt;br /&gt;
            &lt;br /&gt;
where i is the imaginary unit and &amp;lt;math&amp;gt;e^{\frac{2 \pi i}{N}}&amp;lt;/math&amp;gt;  is a primitive N&amp;#039;th [[root of unity]]. (This expression can also be written in terms of a [[DFT matrix]]; when scaled appropriately it becomes a [[unitary matrix]] and the &amp;#039;&amp;#039;X&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;&amp;#039;&amp;#039;k&amp;#039;&amp;#039;&amp;lt;/sub&amp;gt; can thus be viewed as coefficients of &amp;#039;&amp;#039;x&amp;#039;&amp;#039; in an [[orthonormal basis]].)&lt;br /&gt;
&lt;br /&gt;
The transform is sometimes denoted by the symbol &amp;lt;math&amp;gt;\mathcal{F}&amp;lt;/math&amp;gt;, as in &amp;lt;math&amp;gt;\mathbf{X} = \mathcal{F} \left \{ \mathbf{x} \right \} &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\mathcal{F} \left ( \mathbf{x} \right )&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\mathcal{F} \mathbf{x}&amp;lt;/math&amp;gt;.  &lt;br /&gt;
&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;inverse discrete Fourier transform (IDFT)&amp;#039;&amp;#039;&amp;#039; is given by &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;x_n = \frac{1}{N} \sum_{k=0}^{N-1} X_k e^{\frac{2\pi i}{N} k n} \quad \quad n = 0,\dots,N-1.&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Retinotopic models in group-averaged data projected back into native space ==&lt;br /&gt;
Some text. Some analysis. Some figures.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Conclusions =&lt;br /&gt;
&lt;br /&gt;
Here is where you say what your results mean.&lt;br /&gt;
&lt;br /&gt;
= References - Resources and related work =&lt;br /&gt;
&lt;br /&gt;
References&lt;br /&gt;
&lt;br /&gt;
Software&lt;br /&gt;
&lt;br /&gt;
= Appendix I - Code and Data =&lt;br /&gt;
&lt;br /&gt;
==Code==&lt;br /&gt;
[[File:CodeFile.zip]]&lt;br /&gt;
&lt;br /&gt;
==Data==&lt;br /&gt;
[[File:DataFile.zip | zip file with my data]]&lt;br /&gt;
&lt;br /&gt;
= Appendix II - Work partition (if a group project) =&lt;br /&gt;
Brian and Bob gave the lectures. Jon mucked around on the wiki.&lt;/div&gt;</summary>
		<author><name>imported&gt;Psych204B</name></author>
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