Mike's notes Flashcards
Planck’s constant
6.626*10^-34 Js
EM spectrum from low frequency to high
radio, microwave, infrared, UV, xrays and gamma rays
-goes from 10^5 to 10^21 Hz, 10^-9 to 10^6 eV
how to reduce heel effect
increase anode angle, increase SID, or decrease field size
what energy photos does inherent xray tube housing stop
< 15 keV
for what energies is compton dominant in water?
25 keV to 25 MeV
what happens if SID incorrect when using grid?
Scatter grid would not be aligned with the diverging beam thus less effective (also removes primary),
why is patient as close as possible to detector?
reduce focal spot blurring
magnification increases focal spot blurring
however it is not eliminated (patient non-zero thickness)
what type of scintillator is CR
BaFBr
By how much do PMTs multiply charge
Photocathode:emit e-per every 5 light photons
Dynodes:100V increments, eject 5 e-for each e-striking
If 10 dynodes ⇒amplification= 510≈ 10 million
issue with CCD
poor optical lens coupling efficiency = quantum sink
typical conversion efficiency of common screens
10%
why use rare earth screen
higher absorption efficiency, thus faster
energy of a light photon in screen film
~ 2 eV
The use of gonadal and fetal shielding in diagnostic x-ray is discontinued (may cause dose if small part within FOV due to 1. repeated exam, 2. tube output by automatic exposure control ). See: AAPM 2019 position statement in references
what % of W target radiation is characteristic?
5% at 80 kV, 10% at 100 kV
what is a mA
6.24*10^15 electrons/s
In chest radiography, patient’s lung diaphragm should be placed at anode or cathode side?
Diaphragm on cathode side.
What is the difference between quantum detection efficiency and energy absorption efficiency? Which one is more appropriate for radiography imaging systems?
Quantum detection efficiency is the fraction of photons detected (interacted). Energy absorption efficiency is the fraction of energy absorbed by the detector thus it excludes part of the energy leaving the detector after photon interaction (e.g. characteristic x-ray). The later is more important as most detectors are energy integrators not photon counters.
quantum sink in CCD
The size of CCD is limited due to the dimensions of crystalline silicon wafers.
For an ideal detector, quantum sink should only happen at the first stage of x-ray absorption, making the detector x-ray quantum limited. However, in the system in the figure above, secondary quantum sink happens due to loss of light photons.
(poor optical lens coupling efficiency)
ODs of two superimposed films are additive (why?)
Is additive since log convers multiplication to addition.
speed film
High speed films has a smaller toe (and slow films larger toe).
Slower film requires more dose to the patient (why?).
Film speed = 1 / (Exposure in R required for an OD of 1.0 above base + fog)
The film speed mainly depends on the size of silver bromide grains. A film with larger grains is faster than a film with smaller grains.
typical entrance patient dose in fluoro
20 mGy/min
W target in mammo
no characteristic xrays because kedge is around 59 keV which is outside mammo kV
how does using air gap instead of grid in mammo affect dose?
- reduced by a factor of 2-3 since grid is removed
- increased by the same factor (2-3 x) due to inverse square law.
Thus, the overall dose is comparable to the grid technique. However, since FOV ¯, smaller part of the breast receives this dose.
dose from tomo mammo
similar to conventional ammo (2 mGy)
tomo: acquire 11-51 images over limited 15 degree angle
ideal MTF
1 for all frequencies
what is xray transmission through patient modelled by?
binomial process
Probability of event B, given that event A has occurred
Pr(B|A)=Pr(A and B)/Pr(A)
if A and B are independent, Pr(A|B)=Pr(B)
EXAMPLE of <a> given P(a)</a>
e.g. for rolling a six-sided dice, ai=1,2,…6 all having same probability 1/6. Thus, <a> = 1x1/6 + 2x1/6 +…+ 6x1/6 = 3.5</a>
noise power spectrum
total noise in power in a(x) at each frequency
-measure of the variance per unit spatial frequency
total power in signal = integral from minus to plus infinity of f(x)^2dx OR F(u)^2du
aka wiener spectrum and covariance spectrum
MTF relation to LSF
MTF = FT(LSF)
For digital systems MTF ~ sing(piFd) due to squares- since in fourier space
equation for NEQ
(snrOUT)^2=neq=(MTF/NPS)^2
equation for DQE
DQE = NEQ/(SNRin^2)=NEQ/qbar = (SNRout/SNRin)^2
variance of d(x) in terms of NPS
variance = integral from minus infinity to infinity of NPS(u)du
NEQ for ideal system
NEQ = SRNout^2=SNRin^2
what angle is needed for FBCT
180 degrees plus fan angle
what is sinogram
radon transform of object
2d display of all projection profiles
Projection slice theorem
1D FT of a projection at angle φ(one row in sinogram)
= 2D FT of image evaluated along a radial profile at angle φ
Direct FT reconstruction algorithm:
1. Take 1D FT of the 1st projection angle in sinogram
2. Interpolate and add to a 2D rectangular grid F(kx,kv)
3. Repeat for all other angles in sinogram
4. Take 2D inverse FT of F(kx,kv) to find the image f(x,y)
cos, sin(,)(,)xryrrxykkkkPkFkkφφφ===
Q1. Is it the same as backprojection method?
Q2. Will we get 1/r blurring artifact?
A1. Note that direct FT reconstruction is not a backprojection technique.
A2. Unlike backprojection, direct FT reconstruction does not have 1/r blurring artifact.
blurring introduced by backprojection
1/r blurring
filtered backprojection
amplify high frequency component by ramp filter
- Take 1D FT of 1st projection angle in sinogram
- Multiply this by ramp filter
- Take the inverse 1D FT
- Backproject the modified (filtered) projection
- Repeat for all angles around the object
multiplication o fpourier is faster than convolution in space
ramp also amplifies noise… (ie better resolution but more noise)