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CT Physics - Detailed Knowledge
1. History and Overview
CT (Computed Tomography) was developed in the 1970s by British scientist Godfrey Hounsfield at EMI Corporation. He applied the physics of rotational tomography so that the x-ray tube and detector gantry rotate about a single axis in the body. X-ray detectors replaced film, taking continuous measurements during gantry rotation; a computer then reconstructed a digital image of an axial "slice" displayed on a CRT screen.
It became commercially available in 1973, initially as a head scanner. The term "tomography" comes from the Greek meaning "to slice."
- Brogdon's Forensic Radiology, p. 10534-10554
- Bradley and Daroff's Neurology in Clinical Practice, p. 3817
2. Basic X-ray Physics Relevant to CT
X-ray Nature
X-rays are electromagnetic waves with wavelengths of 10-0.01 nm, describable as high-energy photons with energies between 124 and 124,000 electron volts. "Hard" x-rays (higher energy end) are used in diagnostic imaging because they penetrate tissue yet are differentially absorbed.
X-rays are a form of ionizing radiation - health risks, while minimal, must always be accounted for.
X-ray Interactions with Tissue
Two main interactions:
- Photoelectric effect - complete absorption of a photon by an inner shell electron; depends strongly on atomic number (Z³) and photon energy. This is why iodine and bone attenuate heavily.
- Compton scattering - the incoming photon ejects an outer electron and scatters in a different direction, contributing to image noise and radiation dose.
3. Basic CT Scanner Components
X-ray Tube
- Generates x-rays toward the patient
- Key parameters: tube voltage (kVp) determines x-ray beam energy; tube current (mA) determines photon quantity
Collimator
- A rectangular opening in a lead shield that shapes the x-ray beam to define slice thickness and limit scatter radiation
Detectors
- Opposite the x-ray source; measure transmitted x-rays
- Fourth-generation CT: detectors in a fixed 360° ring; x-ray source rotates around the patient
- Modern multidetector CT (MDCT): multiple detector rows enable simultaneous multi-slice acquisition
Gantry
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The rotating assembly housing the x-ray tube and detectors
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Patient lies on a motorized table that moves through the gantry aperture
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Bradley and Daroff's Neurology, p. 3819
4. CT Generations
| Generation | Geometry |
|---|
| 1st | Single pencil beam, single detector, translate-rotate |
| 2nd | Fan beam, small detector array, translate-rotate |
| 3rd | Rotating fan beam + rotating detector arc (rotate-rotate) |
| 4th | Rotating fan beam + stationary 360° detector ring |
| 5th (electron beam) | Electron beam deflected onto tungsten anode rings; used in cardiac CT |
5. Helical/Spiral CT
Introduced over 20 years ago, helical (spiral) CT combines continuous gantry rotation with continuous table movement through the gantry. The x-ray path traces a helix around the patient.
Advantages:
- Rapid large-volume acquisition (20-60 seconds)
- Patients can hold breath, reducing motion artifact
- Optimal contrast bolus timing
- Allows multiplanar reformatting (MPR) and 3D reconstruction
Pitch
Pitch = table feed per gantry rotation / total beam collimation width
- Pitch < 1: overlapping acquisition (more radiation, better image quality)
- Pitch = 1: contiguous acquisition
- Pitch > 1: gapped acquisition (less radiation, slightly lower quality)
Important: in most modern scanners, radiation dose is inversely proportional to pitch - higher pitch = lower dose.
- Bradley and Daroff's Neurology, p. 3831
6. Multidetector CT (MDCT)
MDCT uses multiple parallel rows of detectors enabling simultaneous acquisition of multiple slices per gantry rotation.
- 4-slice MDCT → 4 simultaneous slices
- 64-slice MDCT → 64 simultaneous slices
- 256/320/640-slice scanners now exist for cardiac and whole-organ coverage
Geometric Efficiency
With 4-16 slice MDCT, penumbral dose wastage occurs at the beam edges - photons in the penumbral region do not contribute useful image data.
With 64-channel MDCT, the incident beam width remains constant over both narrow and wide collimation - geometric efficiency is high, with minimal dose penalty. Gaps between detector elements also waste photons (scatter).
- Grainger & Allison's Diagnostic Radiology, p. 256-258
7. Image Formation and Reconstruction
Attenuation
As the x-ray beam passes through tissues, it is attenuated (absorbed/scattered) to varying degrees based on:
- Atomic composition (Z number)
- Physical density
- Tissue thickness
The computer collects detector readings at multiple angles (a full 360° sweep per slice), then uses back-projection algorithms (filtered back projection = FBP, or iterative reconstruction) to calculate x-ray attenuation for each individual tissue volume element (voxel).
Filtered Back Projection (FBP)
The classical reconstruction method. Fast but produces streak artifacts at low mA (high noise).
Iterative Reconstruction
Modern alternative to FBP. Starts with an estimate, compares to actual projections, corrects errors iteratively. Allows significant dose reduction (30-80%) with maintained or improved image quality. Subtypes include:
- Adaptive statistical iterative reconstruction (ASIR)
- Model-based iterative reconstruction (MBIR) - most dose-efficient
8. Hounsfield Units (HU)
The attenuation of each voxel is expressed as a Hounsfield unit (HU) on an arbitrary linear scale:
Formula:
CT number (HU) = [(μ_tissue - μ_water) / μ_water] × 1000
Where μ = linear attenuation coefficient.
Standard HU Reference Values:
| Tissue/Material | Hounsfield Units |
|---|
| Dense air | -1024 (black) |
| Fat | -50 to -80 |
| Water | 0 |
| Soft tissue/muscle | +20 to +80 |
| Fresh blood | ~+80 |
| Brain parenchyma | +25 to +45 |
| Bone (cortical) | +400 to +1000+ |
| Cranial bone | up to +2000 |
| Dense metal | up to +3071 (white) |
| Adrenal adenoma (lipid-rich) | <10 HU |
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Tissues with higher HU appear whiter (hyperdense)
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Tissues with lower HU appear darker (hypodense)
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Murray & Nadel's Respiratory Medicine, p. 1332
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Bradley and Daroff's Neurology, p. 3822-3823
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Scott-Brown's Otorhinolaryngology, p. 1918
9. Pixels, Voxels, and Spatial Resolution
Pixel
The smallest 2D picture element in the reconstructed image.
- Current highest resolution: 512 × 512 pixels per image (some systems: 1024 × 1024)
- In a 30 × 30 cm field of view (FOV), 512 × 512 gives high definition; larger FOV = lower resolution per cm
Voxel
A 3D volumetric element - essentially a pixel with depth (slice thickness).
- Can be isotropic (cube-shaped) or anisotropic (cuboid)
- Isotropic voxels (e.g., 0.5 mm³) allow high-quality multiplanar reformats in any plane without degradation
Partial Volume Averaging (Effect)
When a structure (e.g., bone = 1000 HU) fills only part of a voxel, the computed HU is an average of all tissues within that voxel - often underestimating true density. This reduces edge sharpness and is a significant limitation in delineating structural borders.
- Scott-Brown's Otorhinolaryngology, p. 1922-1939
10. Windowing
The human eye cannot distinguish the full ~4000-level HU range. Windowing (also called "window level/width") narrows the displayed HU range to optimize contrast for specific tissues:
- Window Level (WL) = center HU value of the displayed range
- Window Width (WW) = range of HU values displayed (all outside appear pure black or white)
Clinical Window Settings:
| Window | Level (HU) | Width (HU) | Use |
|---|
| Soft tissue | +40 | +400 | Abdomen, mediastinum |
| Lung | -600 | +1500 | Lung parenchyma, airways |
| Bone | +400 | +2000 | Fractures, cortical detail |
| Brain | +35 | +80 | Intracranial pathology |
| Subdural | +75 | +200 | Hemorrhage |
| Liver | +60 | +150 | Hepatic lesions |
- Bradley and Daroff's Neurology, p. 3825
11. Contrast Agents in CT
Iodinated Contrast
CT contrast agents contain iodine in an injectable water-soluble form. Iodine is a heavy atom whose inner electron shell absorbs x-rays via photoelectric capture - even small amounts block x-rays, appearing hyperdense.
Used for:
- CT angiography (CTA) - vascular mapping
- Contrast-enhanced CT - tumor detection, BBB disruption
- CT myelography - intrathecal
- CT perfusion - cerebral/organ perfusion assessment
Phases of Enhancement:
- Arterial phase (~25-30 sec post-injection) - aorta, hepatic artery opacification
- Portal venous phase (~60-70 sec) - portal vein, liver parenchyma
- Delayed/equilibrium phase (~3-5 min) - renal cortex, biliary/urinary)
12. Radiation Dose in CT
Dose Metrics
- CTDI (CT Dose Index) - measure of dose per rotation, expressed in mGy
- DLP (Dose Length Product) = CTDI × scan length (mGy·cm)
- Effective dose (mSv) - accounts for tissue radiosensitivity; derived from DLP × conversion factor
Parameters Directly Affecting Dose (Grainger & Allison):
- Gantry geometry
- Rotation time
- Tube current (mA) and voltage (kVp)
- Acquisition modes
- Z-axis coverage
- Pitch (higher pitch = lower dose)
- Section collimation and overlap
Dose Reduction Strategies:
| Strategy | Mechanism |
|---|
| Automatic exposure control (AEC) | Modulates mA to patient anatomy in real-time |
| Weight/size-based modulation | Reduces mA for smaller patients |
| Reduced tube current (mA) | 50% mA reduction = 50% dose reduction |
| Reduced tube potential (kVp) | 80-100 kVp instead of 120 kVp in thin patients |
| Higher pitch | More table advance = shorter scan time = less dose |
| Iterative reconstruction | Allows lower mA with acceptable image quality |
| Beam-shaping filters (bowtie) | Reduces dose to peripheral, lower-attenuation tissue |
| Prospective ECG gating | Limits x-ray exposure to specific cardiac phases |
| Restrict scan length | Only cover area of interest |
| Patient shielding | Thyroid, eye, breast shields |
Reducing tube current by 50% halves the effective dose. A 120 → 100 kVp reduction yields large dose savings with minimal quality loss in thin patients.
- Grainger & Allison's Diagnostic Radiology, p. 252-264
13. Image Quality Parameters
Spatial Resolution
- Ability to distinguish two closely spaced objects
- Determined by: detector size, focal spot size, reconstruction algorithm ("kernel"), pixel matrix, FOV
- High-frequency (sharp) kernels: better edge detail but more noise - used for bone
- Low-frequency (smooth) kernels: less noise but blurred edges - used for soft tissue
Contrast Resolution
- Ability to distinguish tissues with small HU differences
- Improves with higher mA (lower noise), larger voxels
Temporal Resolution
- How fast a single image can be acquired
- Critical in cardiac CT; improved with faster gantry rotation and multi-segment reconstruction
Noise
- Random fluctuation in HU values; appears as "graininess"
- Increases with: lower mA, smaller voxels, larger patient size
- Decreases with: higher mA, larger voxels, iterative reconstruction
Artifacts:
| Artifact | Cause |
|---|
| Beam hardening | Polychromatic beam - lower-energy photons absorbed preferentially; causes dark streaks between dense objects (e.g., posterior fossa "Hounsfield bar") |
| Metal artifact | High-density objects cause severe streaking |
| Motion artifact | Patient or cardiac/respiratory motion |
| Partial volume | Averaging of different densities in one voxel |
| Ring artifact | Faulty detector element |
| Stair-step artifact | Wide slice thickness in oblique/curved structures |
14. Postprocessing Techniques
| Technique | Description | Clinical Use |
|---|
| MPR (Multiplanar Reconstruction) | 2D reformats in coronal, sagittal, oblique planes | Vascular, spinal, urinary tract |
| MIP (Maximum Intensity Projection) | Ray casting - only highest HU per ray displayed | Vascular imaging (CTA), dense nodules |
| MinIP (Minimum Intensity Projection) | Only lowest HU per ray | Emphysema, airways, bronchiectasis |
| SSD (Shaded Surface Display) | Threshold-based interface rendering | Airway abnormalities |
| Volume Rendering (VR) | Full HU mapping to opacity/color | 3D vascular, bone, complex anatomy |
| Virtual Bronchoscopy | Endoscopic simulation from CT data | Airway lesions distal to obstruction |
| Dual-energy CT | Two simultaneous kVp acquisitions | Material decomposition, iodine maps, virtual non-contrast, uric acid stone characterization |
| Computer-aided detection (CAD) | Pattern recognition algorithms | Pulmonary nodule detection and measurement |
- Grainger & Allison's Diagnostic Radiology, p. 202-205
15. Dual-Energy CT (DECT)
Acquires data at two different x-ray energies (e.g., 80 kVp and 140 kVp) simultaneously. Because different materials (iodine, calcium, uric acid) have characteristic attenuation differences between energies, DECT can:
- Generate virtual non-contrast images from contrast-enhanced studies
- Characterize renal stones (uric acid vs. calcium)
- Produce iodine distribution maps as perfusion surrogates
- Reduce beam-hardening artifacts
- Improve lesion characterization (e.g., adrenal adenoma vs. metastasis)
16. Cardiac CT Physics
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Requires high temporal resolution (ideally <100 ms) to freeze cardiac motion at ~70 bpm
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Prospective ECG triggering: x-ray on only during a defined cardiac phase (end-diastole); lowest radiation dose
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Retrospective ECG gating: continuous x-ray acquisition; allows reconstruction at any cardiac phase; higher dose
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High-pitch spiral CT (dual-source): can image entire heart in one heartbeat at very low dose
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Calcium scoring uses Agatston score to quantify coronary artery calcium; unenhanced scan
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CT coronary angiography (CCTA) requires HR <65 bpm, iodinated IV contrast, beta-blocker pre-medication
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Grainger & Allison's CT Dose Considerations, p. 253-260
Summary Table: CT Physics at a Glance
| Parameter | What it Affects | Clinical Relevance |
|---|
| kVp | Beam energy, penetration, contrast | Lower kVp → more iodine contrast but more noise |
| mAs | Photon quantity, noise, dose | Lower mAs → more noise; 50% reduction = 50% dose |
| Pitch | Scan speed, dose | Higher pitch = faster, lower dose |
| Slice thickness | Spatial/contrast resolution, noise | Thinner = better resolution, more noise |
| FOV | Pixel size, spatial resolution | Smaller FOV = smaller pixels = better resolution |
| Kernel | Spatial vs. contrast resolution trade-off | Bone (sharp) vs. soft tissue (smooth) |
| Reconstruction | Noise vs. speed | Iterative < FBP for dose |
| Gantry speed | Temporal resolution | Faster = better cardiac imaging |
Sources:
- Bradley and Daroff's Neurology in Clinical Practice - CT physics, HU values, windowing, helical CT
- Grainger & Allison's Diagnostic Radiology - MDCT dose, pitch, iterative reconstruction, postprocessing
- Brogdon's Forensic Radiology - CT history, Hounsfield development
- Murray & Nadel's Textbook of Respiratory Medicine - CT numbers and lung applications
- Scott-Brown's Otorhinolaryngology - Pixels, voxels, partial volume averaging