Presentation Transcript
Medical Imaging Systems : Medical Imaging Systems 1.mm X-ray, Computerized Tomography (CT) & Image reconstruction
2.mm Magnetic Resonance Imaging (MRI)
3.mm PET, Gamma camera & Ultra Sound Imaging
4.mm 3D volume representation
5.mm Visit to Hospital
Agenda X-ray : Agenda X-ray Fundamentals about radiation
Interaction with medium
X-ray generation
Detection and Imaging
CT scanning
Willem Röntgen : Willem Röntgen His first image 1895
History of medical imaging : History of medical imaging 1895: First Image in Wurzburg by Röntgen Nobel prize 1901
1896: H. A. Becquerel finds radiation from uran, Nobel prize 1903
Ing. O. Leppin: Radiation damage of his own hand
1898: Marie und Pierre Curie: finds radiation from Polonium und Radium. Nobel prize 1903.
1902: Guido Holzknecht: first meassuring eqipment
1910: P. Krause, C. Bachem und H. Günther: use of Bariumsulfat af contrast agent
1929: W. Forssmann: Katheter in his ovn heart. Nobel prize 1956
1946: E. Purcell und F. Bloch: Spin resonance: Nobel prize 1952
1953: H. Anger: first Gamma camera
1958: I. Donald: Ultrasound of unborn child
1971: G. N Hounsfield: first CT-scanner Nobel prize 1979
1973: P. C. Lauterbur: first Magnetic Resonance Imaging
1975: M. M. Ter Pogossian: PET Scanner
1980: first Digital X-ray Image (Japan)
X-rays : X-rays 2. Particle or photon with Energy proportional to frequency
E = h * f
h = Planck's constant = (4.13 e-18) [KeV sec]
1 eV = 1.6 e-19 [Joule]
X-rays : X-rays Particles or Photons with energy > a few eV can
ionizise atoms (i.e. knocking an electron out of its orbit)
Photons with energy > a few keV can
change molecule bindings and is dangeous
Electro Magnetic Waves : Electro Magnetic Waves
X-ray energy : X-ray energy Diagnostic X-ray l 100nm - 0.01nm
Light l 700nm - 450nm
Planks konstant h = 4.13 10-18 [keVsec] = 6.6 10-34 [joule]
= 1nm ~ E = hf = hc/l
E = 4.13 10-18 * 103 * 3 108/10-9 = 1200 [eV] = 1.2[keV]
l= 100nm ~ E = 0.012 [keV]
l= 0.01nm = 10Ångstrøm ~ E = 120[keV]
Planck's constant = 6.626068 × 10-34 m2 kg / s
Statistics : Statistics Raindrop experiment ~ Nuclear process
Number of events pr. Sec. within an area is a Poisson distribution
If N>>10 then Poisson->Normal distribution (m,s) (N,sqrt(N))
m = N; s = sqrt(N)
Signal/Noise ratio, m/s; S/N = N/sqrt(N) = sqrt(N)
Dose vers. Image quality : Dose vers. Image quality Image size 100x100 pixel
Question: which image has S/N = 20db ??? S/N = 20 db
20 db ~10 times
S/N = 10 = sqrt(N)
N = 100 events/pixel
100*100 =10.000pixel
Total 1mill. events
Slide11 : Dose vers. Image quality Image size 128x128
Interaction between X-rays and matter : Interaction between X-rays and matter Coherent Scattering
Photoelectric effect
Compton Scattering
Pair Production
Photodisintegration
Diagnostic X-ray spectrum : Diagnostic X-ray spectrum
Slide14 : Scattered
X-ray photon Incident
X-ray photon Coherent Scattering Low energy photons
only scattering, no Ionization and
only little energy loss
Photoelectric effect : Photoelectric effect Photon with energy 40keV enters
Photoelectron from K-shell with energy (40-33.2)=6.8keV exits
Electron from M- to K-shell
Characteristic radiation at (33.2-0.6)= 31.6KeV in a random direction.
The Atom now has positive charge
K L M Iodine
Energy levels
K -33.2keV
L -4.3keV
M -0.6keV
Example
Compton Scattering : Compton Scattering E Energy of incident photon
E’ -”- scattered photon
mc2 mass equivalent energy
of 1electron
Pair production : Pair production A photon with Energy > 1.02Mev might completely disappear under the production of an electron and a positron (electron with positive charge)
The energy equivalent of an electron mass is 0.51Mev
Ephoton = h*f = e- + e+ + 2Ekin
X-ray : X-ray Photodisintegration: not used in X-ray diagnostics
E<1Mev ~
Coherent scattering
Photo electric effect and
Compton scattering
Linear Attenuation : Linear Attenuation
Mass Attenuation Coefficient (a) / X-ray Energy : Mass Attenuation Coefficient (a) / X-ray Energy
X-ray generation : X-ray generation Two important data.
Max energy
controlled by
anode voltage
Vt [keV]
Radiation Dose
controlled by
current and time [mas]
X-ray generation : X-ray generation Electrons hitting the anode
material produces white
radiation up to an
energy [keV] = anode voltage
X-ray spectrum : X-ray spectrum
Beam shaping : Beam shaping
Use of collimator : Use of collimator h/g reduces
scattered
radiation
Optical gain ~ Resolution : Optical gain ~ Resolution
Photo multiplying tube : Photo multiplying tube
Slide29 : X-ray film
cross section
Contrast Enhancement Histeq. : Contrast Enhancement Histeq.
Mechanical slicing or focusing : Mechanical slicing or focusing
CT scanners : CT scanners 1.Generation.
1 detector
2. Generation
Linear detector array
3. Generation
Both source and det. Rotates
4. Generation
Rotating source
5. Generation
Spiral moving source
Slide33 : Fan Beam Cone Beam
Reconstruction from projections : Reconstruction from projections
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