X-ray physics notes curriculum
Fundamentals of radiation
The X-ray machine
Production of X-rays
Interaction of radiation with matter
X-ray detection and image formation
Image quality
Radiation safety in X-ray imaging
Fluoroscopy
Mammography
Digital subtraction angiography (DSA) (current module)
The diagnostic value of DSA depends on the visibility of contrast-filled vessels against a noise-free background.
Unlike static radiography, DSA image quality is influenced by both detector performance and the mathematical effects of subtraction, which amplify noise and magnify the impact of motion and registration errors.
Understanding these relationships allows optimisation of dose, frame rate, and processing.
Determinants of image quality in DSA (summarised)
| Factor | Influence | Optimisation method |
|---|---|---|
| Detector DQE | Higher DQE improves SNR for a given dose | Use flat-panel detectors with high conversion efficiency |
| Photon fluence (dose per frame) | Determines quantum noise level | Optimise pulse mA and exposure time |
| Frame rate | Affects temporal resolution and total dose | Match to vascular flow speed |
| Subtraction accuracy | Imperfect alignment produces residual artefacts | Pixel shift and remasking |
| Temporal filtering | Improves SNR at cost of temporal blur | Adjust weighting to flow rate |
| Pulse width | Shorter pulses reduce motion blur | Requires higher instantaneous output |
Each parameter is a balance between image clarity, temporal accuracy, and radiation dose.
Signal-to-Noise Ratio (SNR) in DSA
Image noise arises primarily from quantum noise and detector electronic noise, but in DSA, additional noise is introduced through subtraction.
For uncorrelated images:
σ2DSA = σ2mask + σ2live
If both frames have similar noise (σ\sigmaσ):
σDSA = √2 σ
Thus, the noise in a subtracted image is approximately 1.4× higher than in a single image, and SNR decreases accordingly.
SNR increases with the square root of dose:
SNR ∝ √Dose
Because DSA introduces √2 more noise, achieving the same SNR as a non-subtracted image requires approximately twice the dose per frame.
Optimisation therefore targets adequate, not maximal, SNR, relying on filtering and averaging to enhance appearance without unnecessary exposure.
Temporal and spatial resolution
Temporal resolution
- Determined by frame rate and pulse width.
- High frame rates (15–30 fps) improve depiction of rapid arterial filling but increase dose and noise.
- Lower frame rates (3–7.5 fps) are used for slower venous or peripheral studies.
- Temporal filtering smooths noise but can blur fast-moving boluses.
Spatial resolution
- Limited by detector pixel size (150–200 µm typical).
- High-contrast edges (vessels) benefit from the inherently high MTF of modern flat-panel detectors.
- Geometric unsharpness is minimised by using a small focal spot and keeping the object-to-detector distance short.
Contrast resolution and CNR
Contrast-to-noise ratio (CNR) is more relevant than SNR in DSA, as diagnostic visibility depends on iodine signal strength relative to background noise:
CNR = (∣μiodine−μtissue∣) / σ
Optimisation
- Operate at 60–80 kVp so that a large part of the spectrum lies just above the iodine K-edge (33 keV).
- Maintain consistent exposure across frames for accurate subtraction.
- Use logarithmic subtraction, which linearises contrast with iodine concentration.
- Apply temporal averaging or recursive filtering to stabilise vessel signal.
Noise sources and propagation
| Noise Source | Description | Impact / Correction |
|---|---|---|
| Quantum noise | Random photon arrival variation | Dominant; improved by higher dose or filtering |
| Electronic noise | Detector readout or amplifier noise | Negligible in modern systems |
| Subtraction noise | Combined mask + live noise | Increases total variance by √2 |
| Motion artefact noise | Residual edges from misregistration | Minimise via immobilisation, pixel shift |
| Lag / ghosting | Detector afterglow | Correct by calibration and short integration times |
Noise propagation is cumulative; effective dose management and filtering maintain SNR without compromising temporal accuracy.
Optimising image quality
Exposure parameters
- Use short pulses (5–10 ms) for motion freeze.
- Set mA high enough to ensure adequate photon fluence for each frame.
- kVp of 70–80 provides optimal iodine contrast and penetration.
Processing techniques
- Apply recursive filtering for stable background noise reduction.
- Use pixel shift and remasking to correct motion artefacts.
- Limit edge enhancement to avoid amplifying noise.
System design
- High DQE detectors and efficient anti-scatter grids maximise dose utilisation.
- Automated gain calibration maintains uniform subtraction.
Key takeaways and exam tips:
- Subtraction doubles image noise (√2 increase in variance).
- High DQE and adequate per-frame dose are essential to maintain SNR.
- Temporal resolution depends on frame rate and pulse width; balance against dose.
- Contrast resolution peaks near 33 keV (iodine K-edge).
- Recursive filtering (frame averaging) and pixel shift improve noise and registration without re-exposure.
- Common exam question: “Explain how noise is propagated in DSA and how image quality can be optimised without increasing dose.”
Um, what!? Can you believe it? You’ve reached the end of the X-ray physics notes!
Congratulations 🎉
That’s no small achievement.
You’ve worked through some of the most conceptually demanding areas of radiology physics, from the fundamentals of electromagnetic radiation all the way to the complexities of digital subtraction angiography.
That takes commitment, consistency, and real intellectual effort.
Take a moment to recognise what you’ve accomplished.
These notes represent not just hours of study, but the development of a deeper understanding of how medical imaging truly works. Knowledge that will serve you throughout your career.
Thank you for trusting me to guide you through it, and for investing the time and focus needed to get here.
You should be proud of what you’ve achieved.
Now, as you prepare for your exams and your future practice, remember, mastering physics isn’t just about passing an exam, it’s about becoming a more confident, safer, and more capable clinician.
Congratulations again, and well done!