<div dir="ltr">Dr. Mori, thank you for the exhaustive explanation.<div><br></div><div>I have two follow-up questions.<div><br></div><div>First, you wrote: </div><div><span style="font-family:arial,sans-serif;font-size:12.800000190734863px">"Because field-of-view, which is determined by the brain size, is about 200 - 250 mm, DTI spatial resolution is limited to 2-2.5mm."</span><br>
</div><div><span style="font-family:arial,sans-serif;font-size:12.800000190734863px">It appears that the number of acquired points depends on the FOV. Does this mean that a smaller FOV have more SNR than a bigger FOV for the same voxel resolution?</span><br>
</div><div><span style="font-family:arial,sans-serif;font-size:12.800000190734863px"><br></span></div><div><span style="font-family:arial,sans-serif;font-size:12.800000190734863px">Second, I usually acquire with FOV=230mm. If smaller FOV gets more SNR (depending on answer of 1st question), I can reduce FOV to match the patients brain. Question is, will variable FOV be problematic in a scientific publication?<br>
I think that a fixed FOV keeps SNR standard between subjects, but brain size affects DTI anyway. For example, within the same 2mm voxel size chances are that a small brain will have more heterogenous fibers for each voxel than a bigger brain. Therefore having more SNR for a smaller brain may (kind of) balance the disadvantage. My plain thoughts anyway.</span></div>
<div><span style="font-family:arial,sans-serif;font-size:12.800000190734863px"><br></span></div><div><span style="font-family:arial,sans-serif;font-size:12.800000190734863px"><br></span></div><div><font face="arial, sans-serif">Thank you for your comments.</font></div>
<div><font face="arial, sans-serif"><br></font></div><div><font face="arial, sans-serif">Dorian</font></div><div><font face="arial, sans-serif">TJU</font></div><div class="gmail_extra"><br><br><div class="gmail_quote">
2013/8/16 Susumu Mori <span dir="ltr"><<a href="mailto:smoriw@gmail.com" target="_blank">smoriw@gmail.com</a>></span><br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div dir="ltr">MRI raw data is so-called time-domain data. This means, within about 10-100ms of time, signals are acquired and recorded. For example, if your image matrix is 128x128, there are 16,384 data points to acquire. For DTI, to freeze the motion effect, all 16,384 points are acquired at once (8,192 points if you use a parallel imaging with factor = 2). Actually there are real and imaginary data points and therefore there are 16,384x2 points. By the way, because all 16,384 points are acquired at once, the data acquisition time becomes very long and there is not much signal left by the time all 16,384 points are read from the signal. Therefore, for DTI, there is no point to acquire 256x256 (=65,536) points because after about 20,000 point-read, all the remaining points are reading just noise. This is why all DTI studies have been done using 96x96 or 128x128. Because field-of-view, which is determined by the brain size, is about 200 - 250 mm, DTI spatial resolution is limited to 2-2.5mm.<div>
<br></div><div>Now, when we do interpolation by the scanner, the scanner simply add "0" and extend the 128 points to 256 points. This is called zerofilling.</div><div>After the fourier transform, the time-domain data is converted to the frequency-domain or image-domain data (the same thing with different names). </div>
<div><br></div><div>If you have 128x128, after the fourier transformation, you get a 128x128-pixel image. </div><div><br></div><div>Now, you have two options, do the interpolation by the scanner (time-domain interpolation), convert the 128x128 time-domain matrix to 256x256 time-domain matrix and FT it to the 256x256 image-domain matrix.</div>
<div><br></div><div>Alternatively, you can FT first, get a 128x128 image-domain matrix and then digitally interpolate it to 256x256.</div><div><br></div><div>A big question is, are they different? Signal processing people say, "sinc-interpolation of 128x128 image to 256x256 image is the same as time-domain zerofilling". However, things are not that easy because time-domain data has real and imaginary parts. If you have 10 physicists, I'm sure that you get two camps; one say they are the same and the other say, time-domain interpolation is better and you can never get the same quality after the time-domain data are converted to an image.</div>
<div><br></div><div>There is a famous paper by a novel laureate, Dr. Ernst, proving the latter is the case, but the problem is, ordinary people like us can't understand the paper.</div><div><br></div><div>Anyway, answering your question, you can always interpolate the data into higher resolution, but many people believe that it is just cosmetic, especially in the image-domain. We can argue that you are wasting the hard drive space. I always do twice time-domain zerofilling (128 becomes 256) by the scanner. In the imaging domain, we further digitally interpolate to 1x1x1mm because that is the voxel size of many atlases.</div>
<div><br></div><div>I don't think there is a large impact on SNR by the interpolation.</div></div><div class="gmail_extra"><br><br><div class="gmail_quote"><div><div>On Mon, Aug 12, 2013 at 12:40 PM, Dorian P. <span dir="ltr"><<a href="mailto:alb.net@gmail.com" target="_blank">alb.net@gmail.com</a>></span> wrote:<br>
</div></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div><div dir="ltr">Hi all,<div><br></div><div>Is there any relationship between acquired and reconstructed voxelsize. Is there any downside of reconstructing to much smaller voxels, for example acquire at 3mm and reconstruct at 2mm or 1mm? Is SNR going to be the same?</div>
<div><br></div><div><br></div><div>Thank you.</div><div>Dorian</div><div>TJU</div></div>
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