Digital Signal Processing Reference
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2.8.4 T 1 MRI Image
We understand that there is the natural relaxation in the transverse component of
the resultant magnetic moment due to spin-spin interaction. This is known as T 2
relaxation. We exploit the different relaxation time and different proton-density
(refer Sects. 2.8.1 - 2.8.3 ) for the different tissues to obtainMRI image ( T 2 and proton-
density respectively). In the same way, due to spin-lattice interaction, the longintu-
idanal components gradually increases. This is the another natural relaxation known
as T 1 relaxation (which is independent of T 2 relaxation). Different tissues have dif-
ferent T 1 relaxation time. This helps to obtain the another type of MRI image known
as T 1 MRI image. Usually T 1 is very larger when compared with the corresponding
T 2 . Exploiting this property, the following trick is used to obtain the T 1 MRI image.
1. Steps 1-3 in Sect. 2.8.1 is performed.
2. Wait for the time to get almost zero transverse-component. But by this time,
longituidal component gradually increases (not reached maximum).
3. At this moment, flip the longituidanal component by an angle
(usually 90 )to
obtain the transverse component. Sample the transverse component immediate
after obtaining the transverse component (i.e at t
α
=
0 during read-out phase) to
obtain the K-space of the T 1 image for the particular G x and G y . The operation
is repeated for the required range of G x and G y values. Apply 2D-IDFT to obtain
the T 1 image. Instead of sampling the transverse component at time instant t
0,
gradient echo can also be used to measure the transverse component as described
in the Sect. 2.8.1 .
4. Note that T 1 image is obtained by measuring the transverse component. But the
measured transverse component ismainly due to longituidanal relaxation obtained
from spin-lattice interaction. The trick is to flip the longituidal component, which
are in relaxation state to obtain the transverse component. The magnitude of the
transverse component describes the T 1 characteristics of the tissue. Thus the image
obtained is known as T 1 image (refer Sect. 3.4 for illustration).
=
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