Theory Flashcards
Ultrasound definition
- Mechanical oscillation
- Higher freq (pitch) than 20000 Hz (upper limit human ear)
- Longitudinal in liquid and gas
- Both (longit.& transv.) in solids
Direct piezoelectric effect
US -> electric energy
- Detection of ultrasound
- Piezoelectric insulators accumulate electric charge and gets polarized when mechanical strain (pressure, tension) is applied on them.
This results in measurable potential difference between electrodes on opposite sides of crystals.
Inverse piezoelectric effect
Electric energy -> US
- In the transducer
- Electric voltage applied on electrodes of piezoelectric material -> becomes deformed
Transducer
Device that converts electric energy into mechanical and vice versa
Damping (US)
Parameter that characterises attenuation of US
- J0: initial intensity
- J: intensity after passing theough layer
- Energy lost as heat
Acoustic impedance
Characterizes acoustic properties of medium
- Z = density*velocity
- Boundary surface/interface: acoustic impedance changes
(Higher difference=higher reflection)
Reflexivity
Ratio of reflected:incident intensity
R=0: no reflection
R=1: total reflection
Pulse echo method
d=(c*t)/2
Calculate distance between transducer and reflecting boundary surface
c: sound velocity (known for medium)
t: elapsed time from emission to arrival of sound
Doppler effect
Frequency (and wavelength change as a result of relative motion and source of the observer
- Towards you: shorter wavelength - higher pitch
- Away: longer wavelength - lower pitch
Use of US
1) Diagnostic (ultrasonography, medical sonography)
- Non-invadive
2) Therapy
- Rheumatology
- Musculoskeletal disorders (arthrosis)
- Removal of dental calculus
Source of US
Sine wave oscillator conduct electric pulse (MHz) to trancducer containing the piezoelectric crystals (converts electric->US “Inverse piezoelectric effect”)
Ultrasound pulse…
Should be short - only a couple of time periods (sine waves)
Eigen-frequency
Frequency of largest amplitude vibration of a solid material (own resonance frequency)
*For best US - electric signal should match Eigen-frequency of the piezoelectric material
Detection of US
- US -> transducer (polarizes) -> electric signal (direct piezoelectric effect) -> conducted through cable to electronic amplifier
Diagnostic US imaging methods
1) One dimentional A-image (amplitude modulation)
2) One dimentional B-image (brightness modulation)
3) Two-dimentional B-image (2D, brightness modulated)
- Series of one dimentional B-images at diff. angles
4) M image (motion)
- Info: position of the given surface as function of time
5) Reconstructed 3D image (tomography)
6) Reconstructed 4D image
- Time is 4th dimention - US movie created
7) Doppler methods
Brightness
Pixels - proportional to amplitude of reflected US signal
Doppler shift
= f - f0
Proportional to the relative velocity (v/c) and to the incident frequency
Doppler methods
1) Doppler time-velocity image:
- Doppler-frequency-shift plotted as a function of time - corresponds to velocity of observed surface
2) Color-coded Doppler image:
- Color coded velocity information
3) Doppler flow meter
- Can measure velocity of blood flow in larger blood vessels
Digital image
Information displayed at different discrete spatial points in the form of color
- 2 or 3 dimentional array or matrix of picture elements
Characteristics of the digital image
1) Picture element (pixel)
2) Information associated with the pixel
- XY location: coordinates related to spatial resolution
- Color depth: intensities related to color/gray-scale resolution
3) Spatial resolution
- Number of resolved pixels in the X and Y directions
4) Grayscale/color depth
- Number of resolved colors/grayscale intensities (bit)
Color histogram
- Resolved intensities may be displayed as a function
- Relative frequency of colors or grayscale intensities in the image
Image enhancement techniques
1) Contrast manipulation
- Color transfer function: assigns color to pixel densities (expressed in numerical values)
2) Convolution
- Kernel operation - se eget kort
- Blurry vs skarpt
3) Rank operations
- The pixel is exchanged for another from its ranked neighborhood (e.g noise removal - prikker)
- Min, max, median, mean(?)
Convolution
Image enhancement technique
- Kernel operation -> smoothing, sharpening, edge detect.
- Convolution is the process of adding each element of the image to its local neighbors, weighted by the kernel
Fourier transformation + principle
Fourier principle: any function may be generated as the sum of sine function and its harmonics
Fourier transform: decomposes a function of time (a signal) into the frequencies that make it up (FFT, inverse FFT, masked FFT)
Smoothie analogy:
- What does the Fourier Transform do? Given a smoothie, it finds the recipe.
- How? Run the smoothie through filters to extract each ingredient.
- Why? Recipes are easier to analyze, compare, and modify than the smoothie itself.
- How do we get the smoothie back? Blend the ingredients.