1.2.2 - Voxel
Size
For most applications,
the Field of View (FOV) should be chosen to completely contain
the anatomy of interest, with the anatomy filling as much of
the FOV as possible. The matrix size and slice thickness
should be chosen so that the size of the voxel created is
appropriate for the size of the anatomical details to be
resolved.
For 2D sequences, the choices of FOV and
matrix size together determine the in-plane spatial
resolution, and the slice thickness determines the spatial
resolution in the slice direction. For example, a 2D sequence
with FOV = 14 cm,* matrix size = 256 x 256 pixels and slice
thickness = 3 mm corresponds to a voxel size of 0.55 mm x 0.55
mm x 3 mm (0.55 mm = 140 mm/256). This means that every pixel
in the image displays a grey-scale value that corresponds to
the signal intensity from a tissue voxel with these
dimensions.
The amount of signal emitted by a tissue
voxel is directly proportional to the size of the voxel: the
larger the voxel, the larger the emitted signal. Choosing a
smaller matrix size and increasing slice thickness yields an
image with lower spatial resolution, but higher signal from
each voxel. For the example given above, reducing the matrix
size from 256 x 256 to 128 x 128 for the same FOV and slice
thickness will increase the voxel size by a factor of four.
(Fig. 1.1)
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| Figure 1.1 Schematic showing change in voxel size
with changing matrix sizes. |
This results in a
decrease of spatial resolution but causes a four-fold increase
in the signal amplitude from each voxel. Conversely, changing
the matrix size from 256 x 256 to 512 x 512 decreases the
signal from each voxel by a factor of four. Increasing the
slice thickness by a factor of two to 6 mm results in a factor
of two increase in signal from each voxel, whereas reducing
the slice thickness to 1.5 mm (i.e. by one half) reduces the
signal from each voxel by one half.
The MR signal that
is mapped to a voxel arises only from that voxel, but the
noise for that voxel arises from the entire volume of tissue
to which the receiving RF coil is sensitive. The signal from a
voxel therefore scales with the voxel size, but the noise does
not. Thus, increasing the voxel size increases the signal from
each voxel, but the background noise level is unaffected.
Figure 1.2 A-D illustrates the dependence of SNR on
matrix size and slice thickness with all other user-specified
parameters held constant. The SNR in Figure 1.2 B is half that
in Figure 1.2 A due to the decrease in slice thickness by a
factor of two. However, note that the actual image SNR in
Figures 1.2 C and D does not scale directly with the voxel
size in the simple way that we have suggested. This is because
changing the matrix size while holding the other
user-selectable parameters constant also affected a second
important parameter for determining image SNR: the total
signal sampling time.
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Figure 1.2 Images of a GE quality assurance
phantom acquired using: (A) matrix size=256 x 256,
RBW=32kHz, slice thickness=10mm, 1NEX; (B) matrix
size=256 x 256, RBW=32kHz, slice thickness=5mm, 1NEX;
(C) matrix size=256 x 128, RBW=32kHz, slice
thickness=10mm, 1NEX; (D) matrix size=512 x 512,
RBW=32kHz, slice thickness=10mm, 1NEX.
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*Throughout this text,
unless explicitly stated, the FOV is assumed to be a SQUARE
FOV, not rectangular. |
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