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("Cat Scans")

The term "CAT scan" means Computerized Axial
Tomography. As a rule, it is shortened to "CT scan".
The basic principle behind computed tomography is to acquire
multiple views of an object over a range of angular
orientations. These views are then manipulated by a
computer program to form a coherent image. A CT image is
typically called a slice,
as it corresponds to a slice from a loaf of bread.
The earliest CT scanners provided one slice per
scan. As the technology improved, the number of slices per
scan increased making it possible to stack up the slices just
like a loaf of thinly sliced raisin bread. A single slice
shows a two-dimensional section through the raisin bread,
looking at the face of the slice. This view reveals the
size, position and the shape of each raisin in that slice.
When you begin to stack up slices, you can begin to see
the three dimensional position and shape of the raisins.
This holistic approach to three dimensional analysis of the
images has been expanded to 64 slices in some modern machines.
We are used to speaking in terms of pixels (meaning picture
elements) when dealing with ordinary digital imaging.
However the term used when dealing with three dimensional
picture elements is "voxels".
A CT scanner consists of:
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An x-ray source--
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Unlike the x-ray
tubes used for taking intraoral radiographs, the CT must put
out a continuous stream of x-rays instead of a simple pulse,
and it must produce a thin, divergent, fan shaped beam.
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But like
any diagnostic x-ray, it must have the smallest possible
focal point in order to avoid the
penumbra effect. The
smaller the focal point, the higher the resolution of
the final image. (When we speak of resolution, we
generally are really referring to the degree of "fuzziness"
of the final image.)
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Finally, the energy spectrum of the
beam defines how well the x-rays can penetrate the subject,
as well as their expected relative attenuation as they pass
through materials of different density. Higher-energy X-rays penetrate
more effectively than lower-energy ones, but are less
sensitive to changes in material density and composition.
Lower energy x-rays are more prone to attenuation by soft
tissue, and since soft tissue is often the specific target
of the CT scan, the beam contains a lot of low frequency
x-ray photons.
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A series of detectors that measure
the extent to which the X-ray signal has been attenuated by
the object. They are similar to the CCD's used in
dental radiology, except that the individual detectors are
arranged in a one-dimensional line or arc instead of in a
two dimensional array.
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A rotating gantry upon which both the
x-ray source and the detector are mounted. The source
and the detector array are mounted on opposite sides of the
gantry and maintain a fixed positional relationship.
The center around which the gantry rotates is called the
axis of rotation.
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A subject that sits midway between
the x-ray source and the one dimensional detector array.
The subject is situated so that the slice desired by the
clinician is centered on the axis of rotation of the gantry. The
only part of the subject that is directly exposed to the
beam is that portion immediately surrounding the slice to be
imaged.
How the CT scanner sees a slice
Referring to the diagram above, the x-ray source
projects a thin, fan shaped beam of x-rays through the slice of
the subject that the clinician wants to image. The line
detector is situated opposite the detector, on the other side of
the subject. The x-ray source and the detector are mounted
on the gantry in such a way that both the source and the
detector remain opposite one another as they both revolve around
the subject. The subject is seated so that the axis
around which the source and detector revolve is aligned with the
center of the desired slice.
The detector then begins to capture "images".
As the gantry rotates around the subject, the detector captures
another image from a slightly different angle. Each image
the detector captures is called a view. Any given
view would look like a gray line with varying degrees of
darkness along its length. The intensity of any given pixel
is dependent on the degree that the x-ray beam is
attenuated by the various structures that it encounters
along its path from the source to the detector.
(Attenuation is a general term that refers to any reduction
in the strength of a signal.)
Going back to our sliced raisin bread analogy,
one beam might encounter two raisins in its path, another three,
and a third might encounter none. The beam encountering
more raisins in its path would be more highly attenuated, and
the resulting pixel would be lighter than the another pixel
which might be darker because its beam encountered fewer or no raisins.
Any given linear view might not be too exciting, and
can't say much about the structure of the slice, but as the
source and detector continue on their trajectory around the axis
of rotation, a computer program compares different views taken
from different angles, and adds them up to construct a complex two-dimensional image
of the slice, which shows not only the position of each raisin in
the slice, but also the minute shape and density of each raisin.
In order to compose a complete image, the source and sensor need
to complete only a half revolution around the subject.
Algorithms and the magic of perspective
The computer program that builds the two
dimensional slice makes use of mathematical versions of the same
principles that we learned on the
shadow casting tricks page. A single intraoral
x-ray image gives us a two-dimensional picture of objects
perpendicular to the beam of the x-ray machine. By itself,
a single image gives us no information about the third
dimension, which is parallel to the beam.
Recall, however, that when two films of the same
area are shot from two different angles, the use of perspective
enables us to determine the relative buccal-lingual position of
the objects on the film. Using the
Clark Shift technique, we are
able to deduce the relative position of the objects in the plane
of the x-ray beam itself.
The Clark shift: The two images above were taken
from two different angles. The one on the left was taken
straight on, while the one on the right was taken from a mesial
angle. Notice that the two buccal roots have each moved
distally with respect to the palatal root of the same tooth.
When we shoot from the mesial the buccal roots appear to move distally,
and palatal root moves mesially relative to the buccal roots.
This is how the computer compares all
the views of the objects in the scan beam. Each tiny
detector in the linear array records the exact density of the
sum of all the objects that attenuate the beam on its way from
the x-ray source to that detector. It then stores its
information in the computer's memory. It does this again
and again for each of the hundreds of views it sees as the
scanner moves around its trajectory.
After one complete revolution of the CT scanner,
the computer uses a mathematical algorithm to
compare each linear view with the other views in the series as
the CT scan revolves around the subject. An algorithm is
simply a process, or group of actions that is repeated over and
over again. Each repetition is called an iteration,
and after numerous iterations of the algorithm, an image is
created.
For example, if, instead of shooting just two films in the
Clark shift above, we were to shoot hundreds, increasing
the angle of the beam slightly more mesially for each shot, and
then used the images to make a motion picture film, the result
would be a three dimensional "tour" around the teeth. In
effect, we would be using a mechanical algorithm.
Each image, followed by our visual interpretation would be an
iteration. In the process of watching the film, we
would be building up a mental picture of the three dimensional
structure of the teeth and surrounding bone using only the
information garnered from a series of two dimensional images.
We do this using our innate understanding of the laws of
perspective.
How the computer draws a slice
Computers do not have a built-in sense of the
laws of perspective, however the computer in the CT scanner has
a program with complex algorithms which use
repetitive mathematical processes to create perspective. This
algorithm converts the series of linear views of the detectors into an
image of a slice of the subject in the plane of the x-ray beam.
The first step in creating the CT scan involves creating a series of two-dimensional
images, one from each view, composed of
straight lines drawn perpendicularly from each tiny detector in the
linear array. The intensity of each line would represent the
intensity of the x-ray beam reaching the corresponding detector.
The angle of the lines on any given view are perpendicular to the sensor at that point in its
trajectory around the subject. The intensity of
each line depends upon the accumulated density of all the
objects the beam encounters at any given point along its course
from the x-ray source to the detector. The algorithm sees
the intensity of each line as a probability that one or
more objects lies along that path of the x-ray beam.
After all the images (views) are drawn, they are superimposed over each other.
The lines in any given view will intersect with the lines from
each of the other views, because each view was shot at a different angle. At each point
where the lines intersect the probabilities are summed and
averaged using complex math to give each pixel on the plane of
the beam an intensity corresponding to the probable density that
the beam encountered at that point. The more views from
different angles that are incorporated into the analysis, the
higher the probability that the intensity (shade) of that point
on the image corresponds to the density of the material at
that point in the plane of the beam.
As a simple example, lets look at a tubular loaf
of raisin bread that we want to slice using a very simple CT
scanner that sees only in black and white with no shades of
gray. In other words, a pixel is either black or white,
unlike a real CT scanner which shows thousands of shades of
gray. In our example there are only two raisins in this
slice, so it looks like this when we actually cut the loaf at
that point:

We'll start by looking at only two of the CT
scanner's internal views. The ones we'll look at first are
at right angles to each other. Remember that our
simplified line detector sees only black or white pixels.
For convenience, I have drawn the views in different,
transparent colors for clarity. The only thing the
computer knows at this point is that there is a 100 percent
probability that there are objects in the slice wherever the
colored lines are located, and zero probability in areas where
there are no lines.
The next step in the algorithm is to combine the
two views and mathematically calculate the probability of
finding an object where the lines intersect:

Note that the lines intersect in 4 places.
We know that there are only two raisins in the slice, but the
computer does not. It knows only that there is a high
probability that dense objects lie at these four points in the
plane of the beam, and a zero probability elsewhere. Two of the black rectangles represent
the real raisins, and the other two are "ghost images".
But which two are real? We solve the mystery with a third
view from another angle:

Now the computer knows that there is a hundred
percent probability that dense objects lie someplace along the
two yellow lines, and also that there is a zero percent chance
that any dense objects lie in areas not covered by the yellow
lines. At this point we compare this image with the
combined image above, and come up with the image to the left
below.
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Dense objects can exist only where all three
color lines intersect, and this happens in only two areas. The superposition of all three images rules out
the ghost images and makes the position of the real raisins
definite. But it does something else as well. When
we draw in the exact shape of the overlap of the lines, the
rectangular shape of the images begins to soften and we
begin to see the oblong, rounded shape of the raisins
themselves. This is the result of only three views from
three different angles (perspectives) using pixels that are only white
or black. The CT scanner takes hundreds of views, from virtually
all angles, and uses detectors that can discriminate black,
white and 65,534 shades of gray.
Dosing considerations
CT scans are most frequently done to image soft
tissues. In order to image these tissues, the beam must
contain a high concentration of low frequency, low energy
photons. Because of this, much more of the x-ray beam is
absorbed by the patient than would be the case with higher
energy beams like the ones in imaging devices built primarily to
image hard tissues. In addition to the dose delivered
directly to the tissues of interest, there is quite a bit of
scatter from these low energy x-ray photons. This
increases the effective dose to remote tissues. The
effective dose delivered by modern CT scanners is quite
high, about 1.5 mSv for a head CT scan. Compare that with
the 0.050 mSv delivered by a full
series of intra oral films (19 films). Some health
facilities advertise full body scans as a preventive measure,
however, it can be estimated that the radiation exposure from a
full body scan is the same as standing 2.4 km away from
the WWII atomic bomb blasts in Japan. In a
comprehensive survey in the United Kingdom, CT scans
constituted 7% of all radiologic examinations, but contributed
47% of the total collective dose from medical X-ray examinations
in 2000/2001.
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Dentists and allied dental professionals often
seek CE courses from ADA CERP recognized providers to fulfill their
CE requirements for re-licensure. Most state and
provincial licensing boards will accept CE credits issued by ADA
CERP recognized providers. In the spring of 2003, the FDI World
Dental Federation became the first internationally based CE provider
to be granted ADA CERP recognition.
Please contact your state board directly for their specific rules
and regulations. Most states approve supervised self-study courses
that are ADA CERP accredited.
Those dentists, hygienists and assistants
interested in receiving 3 continuing
education credits for this course may take a 10 question test at a
cost of $35 and receive their certificate immediately by clicking
here.
Those dentists, hygienists and assistants interested in receiving
8 continuing
education credits for this course may take a 25 question test at a
cost of $66 and receive their certificate immediately by clicking
here.
Note: There are no questions on tables or
Glossary. |
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