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Lecture 1: Introduction (1/2) ? History, basic principles, modalities. Class consists of:Deterministic Studies - distortion- impulse response- transfer functionsAll modalities are non-linear and space variant to some degree.Approximations are made to yield a linear, space-invariant system.
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1. University of Wisconsin Diagnostic Imaging Research
2. Lecture 1: Introduction (1/2) – History, basic principles, modalities Class consists of:
Deterministic Studies
- distortion
- impulse response
- transfer functions
All modalities are non-linear and space variant to some degree.
Approximations are made to yield a linear, space-invariant system.
Stochastic Studies
SNR (signal to noise ratio) of the resultant image
- mean and variance
3. Course Objectives Learn basics of 2D to n-dimensional system theory and signal processing
Emphasis on duals between space and frequency domain
Emphasis on intuitive understanding
Understand underlying physics of medical imaging modalities
Study the deterministic and stochastic descriptions of medical imaging systems
Theory is applicable beyond medical imaging
4. Prerequisites and Postrequisites System Theory
ECE 330, BME/MP 573
Statistics Helpful but Not Required
Mean and variance of stochastic processes
ECE 331, BME/MP 574, ECE 730
Other Courses
Microscopy of Life
BME 568/ MP 568 MRI ( less math)
5. Nov. 1895 – Announces X-ray discovery
Jan. 13, 1896 – Images needle in patient’s hand
– X-ray used presurgically
1901 – Receives first Nobel Prize in Physics
– Given for discovery and use of X-rays. Wilhelm Röntgen, Wurtzburg
6. Röntgen detected:
No reflection
No refraction
Unresponsive to mirrors or lenses
His conclusions:
X-rays are not an EM wave
Dominated by corpuscular behavior Röntgen’s Setup
7. Projection X-Ray Disadvantage: Depth information lost
Advantage: Cheap, simple
9. Early Developments Intensifying agents, contrast agents all developed within several years.
Creativity of physicians resulted in significant improvements to imaging.
- found ways to selectively opacify regions of interest
- agents administered orally, intraveneously, or via catheter
10. Later Developments More recently, physicists and engineers have initiated new developments in technology, rather than physicians.
1940’s, 1950’s
Background laid for ultrasound and nuclear medicine
1960’s
Revolution in imaging – ultrasound and nuclear medicine
1970’s
CT (Computerized Tomography)
- true 3D imaging
(instead of three dimensions projected down to two)
1980’s
MRI (Magnetic Resonance Imaging)
PET ( Positron Emission Tomography)
2000’s
PET/ CT
11. Computerized Tomography (CT) 1972 Hounsfield announces findings at British Institute of Radiology
Hounsfield, Cormack receive Nobel Prize in Medicine
(CT images computed to actually display attenuation coefficient m(x,y))
Important Precursors:
1917 Radon: Characterized an image by its projections
1961 Oldendorf: Rotated patient instead of gantry
12. First Generation CT Scanner Acquire a projection (X-ray)
Translate x-ray pencil beam and detector across body and record output
Rotate to next angle
Repeat translation
Assemble all the projections.
13. Reconstruction from Back Projection
14. Modern CT Scanner
15. Computerized Tomography (CT), continued
17. Nuclear Medicine - Grew out of the nuclear reactor research of World War II
Discovery of medically useful radioactive isotopes
1948 Ansell and Rotblat: Point by point imaging of thyroid
1952 Anger: First electronic gamma camera
18. Nuclear Medicine, continued Very specific in imaging physiological function - metabolism
- thyroid function
- lung ventilation: inhale agent
Advantage: Direct display of disease process.
Disadvantage: Poor image quality (~ 1 cm resolution)
Why is resolution so poor?
Very small concentrations of agent used for safety.
- source within body
Quantum limited:
CT 109 photons/pixel
Nuclear ~100 photons/pixel
Tomographic systems:
SPECT: single photon emission computerized tomography
PET: positron emission tomography
20. Necessary Probe Properties Probe can be internal or external.
Requirements:
Wavelength must be short enough for adequate resolution.
bone fractures, small vessels < 1 mm
large lesions < 1 cm
Body should be semi-transparent to the probe.
transmission > 10-1 - results in contrast problems
transmission < 10 -3 - results in SNR problems
? > 10 cm - results in poor resolution
? < .01Ĺ - negligible attenuation
Standard X-rays: .01 Ĺ < ? < .5 Ĺ
corresponding to ~ 25 kev to 1.2 Mev per photon
21. Necessary Probe Properties: Transmission vs. ?
22. Probe properties of different modalities NMR
Nuclear magnetic moment ( spin)
Makes each spatial area produce its own signal
Process and decode
Ultrasound
Not EM energy
Diffraction limits resolution
resolution proportional to ? ~~~~~~~~~~~~~~~~~~