Applied
Measurement
Techniques
2
Course of Applied Measurement Techniques,
Prof. Lorenzo Scalise, a.a. 2016-2017.
Notes by students: L. A. Pettinari, A. Tigrini.
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INDEX
ULTRASOUND IMAGING ........................................................................................ 6
General concepts ............................................................................................... 6
Basic physics of sound ...................................................................................... 11
Transducers and probes ................................................................................... 21
Ultrasound modalities ...................................................................................... 33
Doppler ultrasound .......................................................................................... 41
Image artefacts ................................................................................................ 55
X-RAY IMAGING .................................................................................................. 58
General concepts ............................................................................................. 58
Emission mechanisms ...................................................................................... 61
X-ray system .................................................................................................... 68
Development of the image ............................................................................... 82
Fluoroscopy ..................................................................................................... 89
Digital X-ray imaging ........................................................................................ 95
COMPUTED TOMOGRAPHY ............................................................................... 102
General concepts ........................................................................................... 102
Principles of tomography ............................................................................... 103
Back-projection algorithm .............................................................................. 109
CT generations ............................................................................................... 111
Components of a modern CT .......................................................................... 116
NUCLEAR MEDICAL IMAGING ............................................................................ 122
General concepts ........................................................................................... 122
Basic physics of radioactivity .......................................................................... 124
Radiation detectors ........................................................................................ 128
Gamma camera .............................................................................................. 132
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Emission Computed Tomography ................................................................... 136
RADIOTHERAPY ................................................................................................. 143
General concepts ........................................................................................... 143
Internal radiotherapy ..................................................................................... 144
External Radiotherapy .................................................................................... 147
ABLATION ......................................................................................................... 168
General concepts ........................................................................................... 168
Ablation techniques ....................................................................................... 168
LASER ABLATION ............................................................................................... 181
General concepts ........................................................................................... 181
Properties and classification ........................................................................... 183
Interaction with tissues .................................................................................. 186
Applications and safety .................................................................................. 187
ENDOSCOPY ...................................................................................................... 193
General concepts ........................................................................................... 193
Endoscope ..................................................................................................... 193
Endoscopic ultrasounds .................................................................................. 197
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ULTRASOUND IMAGING
General concepts
Ultrasound imaging is one most diffused imaging techniques. Basic concepts of ultrasounds are based on the
branch of physics called acoustic. In imaging diagnostic, ultrasounds (US) are thought not to travel in air but
directly in tissues, interacting with them. There are many different ultrasound techniques: echography,
Doppler ultrasound, harmonic imaging, etc. Only 150 years ago there was any technology to investigate
inside the body without directly cutting the outermost tissues: medical doctors at that time were forced to
use surgery and other invasive methods to see inside the patient and speculate a diagnosis on that. Nowadays
imaging allows to investigate inside the body without surgery, being considered thus a very useful and
relatively new area. As a definition, medical imaging concerns everything that allows the collection of
information from the insides of human body. This diagnostic tool requires quite always a physical quantity
with which the body interacts, modifying and changing characteristics of the source: the measurement
process consist of the detection of these changes. Sources (and their related imaging techniques) are: X-rays
(radiography, CT), (PET, SPECT), radiofrequency EM waves (MRI, fMRI, much less damaging than the
-rays
previous). X-rays and are invasive techniques, because of the ionizing nature of these radiation rays,
-rays
thus they represent a potential risk to the patient: it is possible to see inside, by paying the risk of damages
to cell and DNA (this is the reason why X-rays and must be used only if strictly required). Medicine
-rays
research is earmarking capitals and putting a lot of attention to seek for an accurate trade-off between the
need of a given imaging technique and the cost related to it in term of technology, maintenance of the
machineries, specialized personnel and possible risks to patients. To have an idea of this issue, not all the
tissues can be seen well enough by every imaging techniques: for instance, X-rays do not discern fairly enough
soft tissues, so that damages to the muscles are not well investigated with CT, while US are better suited for
this purpose. US are getting always more attention from diagnostic applications and the techniques related
are very largely diffused because they use acoustic waves. They are pressure waves, the same used to
produce human voice, but at different frequencies: they have totally different features from EM waves, which
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can travel in empty very quickly (propagation velocity in empty is 10 m/s), while US need to have
=
#$%&'
oscillating particles to propagate. A very important characteristic of these acoustic waves is no damages for
tissues, except the fact that high intensity ones can damage the hearing apparatus (intensity up 120 dB is
painful for our ears). US frequency range is higher than 20 kHz, out of audible range (2-20 kHz), versus X-rays
18 20
range that is 10 -10 Hz. The frequency range of acoustic wave is represented in the picture below:
While for EM waves, the frequency range is in a very much wider interval, starting from extremely low
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frequencies (1 Hz) to extremely high (-rays reach 10 Hz).
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For US, the fundamental two equations are:
= =
Thus, in given medium, frequency and wavelength are inversely proportional by the propagation velocity
which is constant if the medium in which the wave is traveling does not change. As a rule of thumb, the
,
higher is the frequency, the smaller is the wavelength. The amplitude is the maximum value of the physical
quantity involved in the undulatory phenomenon (in acoustic waves this quantity is pressure, in EM waves is
the electromagnetic field, and so on). Intensity is directly proportional to power of a wave source by the
surface in which the wave front diffuses in each instant of its propagation: this entails that the intensity
depends on the property of propagation of a wave. Lens are devices capable to reduce the traveling section
of wave, focusing the intensity being equal the power of the source.
Referring to amplitude, intensity and power of a generic wave, these are frequently expressed using the
decibel (dB) unit, which relates how these quantities increase or attenuate with respect of a fixed value:
= 20 log
(12) 9: :
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= 10 log
(12) 9:
:
As already said, ionizing radiation are not very good to distinguish differences in soft tissues, such as exploring
the liver searching for stones or cancer, while they cannot be used on foetus at all. On the other hand, for
both latter purposes US are very suitable, being widely employed to detect different muscle structure;
besides ultrasound imaging techniques have the great quality to provide imaging even if they are in motion.
In fact, US are used to measure flows of interest inside foetus through the Doppler effect. US have a low
penetration, so they are not suitable to explore profoundly the body, while on the other hand X-rays cover
every distance, due to their extremely high frequency. Tissues are composed by atoms, thus if the
wavelengths are not small enough, they are rebounded by the atomic structure, while small ones will
penetrate in deep without reflection. Another aspect is that the US intensity is very low: this fact diminishes
again the (already low) risks of exposing. As a consequence of the fact that US have a relatively large
wavelength, they undergo significant reflection phenomena: that mean that part of the wave will travel inside
the tissues, and in part will be reflected. This is a positive aspect, because it is possible to yield observations
just from one side, by launching a pulse wave and waiting for the pulse back, caused by partial reflection
from tissues, coming back from the target. This same aspect does not hold as well for X-rays, where the
radiations are launched and then detected (along with their changes) on the opposite side. This property of
US is also known as back reflection: the same probe works in transmitting and receiving, while in X-rays it is
necessary to launch the pulse and have the receiver on the other part. A general outline of the ultrasound
imaging system is the following:
From this, is possible to distinguish at least two objects: the probe, which is transmitting and receiving back
US to the tissues, and a processing unit, capable to elaborate the signals into diagnostic images. High voltage
generator block is the circuitry where the electronic signal is shaped to drive the transducer in generating
US, which in turn are transmitted to the tissues. Some energy of the pulse will be reflected as echo waves,
bouncing back with different characteristics with respect to the generated ones. The same transducer is then
“hearing” what is echoed from the target (as a microphone, which transduces the mechanical wave into
voltage), sending the detected signals to the DSP unit able to build up from it the diagnostic image: this is the
echographic information back from the target. As a general principle, almost used in other devices like radars
or sonars, there is the launching of a quantitative of energy and then the measure of the time taken to be
rebounded. If the velocity is known, then from the time interval measurement is known also the distance of
the obstacle. Nevertheless, it is not just a matter of calculating the distance of the obstacle: It also possible
to get information about the size of the obstacle with more transmitters, and from reflection properties it is
possible to get information also on the material or density of the obstacle. Going back to the problem of liver
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inspection, with this technique it is possible to assess how dense is the tissue and understand if this condition
is normal or pathological. Thus, US provide tissue information about their location, size and density, making
it explicit in the image with pixel location and colour value, ranging in a greyscale where at lower densities is
assigned black while at higher ones is assigned white. This three information can be collected by this imaging
technique, and this unique characteristic is barely shared with other imaging techniques. Besides, due to
their properties of propagation, acoustic waves have wave fronts not only in the longitudinal direction of the
source, but often also in the transversal ones, so there is the possibility to investigate tissues also laterally,
even if in these directions waves are rapidly attenuated, so it is preferable to use always longitudinal wave
fronts from the source with respect to the target to yield the measurements.
Acoustic wave are a rarefaction and compression of air particles, which cause a chain effect, allowing the
acoustic wave to travel through a medium, and their intensity decays with distance due to the spreading of
the traveling section as the wave diffuses. The transmission of US is not made in continuous fashion but much
rather modulated as a set of pulses transmitted and then received back attenuated, measuring the time delay
(then the distance if the velocity is known). As a rule of thumb, small wavelength is preferable because it
increase the spatial resolution of the imaging system. Ultrasound frequency is greater than the audible
threshold ( 20kHz) and typically for diagnostic purposes the range is 1-20 MHz. For example, at 3.5 MHz
=
wavelength is 0.44 mm, a good value for almost any tissue investigation and that is because it is a typical
resolution; when they are searching something very small it is possible to choose a 7.5 MHz probe, which has
0.2 mm resolution (double of the resolution of the latter case).
Notice from the above picture: the higher is the frequency, the higher is the spatial resolution and the
attenuation, hence the lower is the penetration, allowing only superficial exploration of inside tissues.
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Consider also that none of the emitting systems in market are working at one precise frequency , the so
:
called nominal frequency. The probe rather works in a bandwidth, producing signals with frequency contents
within a frequency interval almost centred in . Probes with high frequency (6-15 MHz, superficial exams)
:
are used in dermatology and endoscopy, while lower ones are suitable for investigation in cardiac muscles,
skeletal muscles or foetal echography (1-3.5 MHz, 3.6-6 MHz, abdominal or cardiac exams).
In this latter case, transducers are placed on the mother’s belly and the US are launched: when these waves
are passing through the tissues, they are partially reflected. The higher is the reflection the higher is the scale
to white. In the picture, it is possible to see brightly the scalp of the foetus that is a very high-density tissue.
Underneath the scalp the image is quite confused because all the energy is locally back reflected by the
superior layer (the scalp). The area close to the probe is receiving and scattering the highest intensity, so if
the goal of the imaging session is the foetus, it must be calculated a proper intensity to reach it. Observe that
the downstream area has the worst SNR, due to multiple undulatory phenomena, confusing or interfering
with a proper back reflection. It is important to underline that ultrasound imaging techniques are the only
recommended for checking the health of a foetus during pregnancy, for their non-invasiveness and low risk.
The propagation velocity of US is different with respect to the mean. In air is more less 334 m/s while in water
is about three time more. Notice the propagation velocity of a PTZ, piezoelectric crystal: 3791 m/s, almost
ten times the air value. This crystal has a special property: when compressed, it creates electron charges free
to move and, on the reverse, when a voltage is applied to its ends, then it compresses itself, changing
dimension. Thus, this material is capable to generate a pressure wave every time it changes its dimensions,
resulting in a temporary compression and rarefaction of the surroundings at a frequency instructed by a
specific electric circuit which dictates the oscillating voltage; therefore, all ultrasound probes have a set of
piezo crystals. In every soft tissue of human body, US travel more less the same speed, but for example lungs
have low speed because they are filled of air. Since ultrasound imaging system is based on back reflection,
and this physical phenomenon in turn relies on the change of velocity of propagation of the interfacing layers,
when two similar comparts (like air and lungs) meet, they little reflect and there is no sensible imaging of
them. 10
Basic physics of sound
Basic physic of undulatory phenomena are needed to understand what happens to pressure waves travelling
inside the tissues. A wave travelling into a medium has interactions with this one, many of them resulting in
a loss of energy it carries; in particular, US waves tend to spread over the propagation front, causing
additional attenuation. In the most general scenario, to any kind of wave is associated a partition of its
intensity by three main phenomena:
• Reflection. It is the bouncing of a wave front at an interface between two different media so that the
wave front returns into the medium from which it comes. The law of reflection says that for specular
reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected.
Reflection is fundamental for US because the rebounded pulse is the object of the measurement system.
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• Transmission. It is the property of a substance to permit the passage of a wave, with some or none of
the incident wave being absorbed in the process. For this reason, it is considered the opposite
phenomeno
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