Physica

02 Imaging

Weighted and volumetric CTDI

CTDI_w and CTDI_vol from center, periphery, and pitch.

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Simulation

Weighted and volumetric CTDI — Change the numbers; the scene follows.

Where it works

CT scanner

CT scanner

Gantry

Inside the rotating gantry: tube, bowtie, and detectors that define CTDI and HU.

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Formula

CTDIw=13CTDIc+23CTDIp,CTDIvol=CTDIw/pitch\mathrm{CTDI}_w=\tfrac13\mathrm{CTDI}_c+\tfrac23\mathrm{CTDI}_p,\quad \mathrm{CTDI}_{vol}=\mathrm{CTDI}_w/\mathrm{pitch}

Variables

Results

  • CTDI_w

    Weighted CTDI

    10.6667mGy

  • CTDI_vol

    Volumetric CTDI

    10.6667mGy

Explanation

CTDIw=13CTDIc+23CTDIp,CTDIvol=CTDIw/pitch\mathrm{CTDI}_w=\tfrac13\mathrm{CTDI}_c+\tfrac23\mathrm{CTDI}_p,\quad \mathrm{CTDI}_{vol}=\mathrm{CTDI}_w/\mathrm{pitch}

What it means

CTDI_w weights the centre and periphery of a CTDI phantom (1/3 centre + 2/3 periphery) to represent average dose in the slice. Dividing by pitch gives CTDI_vol, the standard dose index displayed on the console. This is a working relation in Diagnostic imaging.

Where it is used

Clinically it sits on the CT scanner — Gantry. Inside the rotating gantry: tube, bowtie, and detectors that define CTDI and HU. Diagnostic equations live on the tube, the detector, and the patient: magnification, air kerma, CTDI, and why bone lights up at 70 kV. They turn a technique chart into physics you can defend.

CT scanner · Open this machine

How to use it

Use 16 cm phantom for head, 32 cm for body. Pitch > 1 lowers CTDI_vol; pitch < 1 (overlapping) raises it. CTDI_vol × scan length = DLP. Change one input and watch the curve and the simulation follow.

Symbols

  • CTDI_cCenter CTDI8 mGy
  • CTDI_pPeriphery CTDI12 mGy
  • pitchPitch1

Worked example

A typical case from the default values: CTDI_c = 8 mGy (Center CTDI); CTDI_p = 12 mGy (Periphery CTDI); pitch = 1 (Pitch). Substituting into the relation gives CTDI_w = 10.6667 mGy; CTDI_vol = 10.6667 mGy. These are teaching numbers — align them with your machine.

Typical values give

  • CTDI_w = 10.6667mGy
  • CTDI_vol = 10.6667mGy

Where it comes from

The displayed formula is the working relation. CTDI_w and CTDI_vol from center, periphery, and pitch. Usual reference: AAPM / IEC CT dosimetry. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: AAPM / IEC CT dosimetry

Assumptions & limits

Phantom indices, not patient dose. Size-specific dose estimate (SSDE) applies a conversion from effective diameter. Direct-beam only — overscan is extra.

Pitfalls

kVp is not the same as effective energy. CTDI is not patient dose — SSDE and organ dose come after. Do not quote DLP as if it were effective dose without a k-factor. Phantom indices, not patient dose. Size-specific dose estimate (SSDE) applies a conversion from effective diameter. Direct-beam only — overscan is extra.

Keep this

Technique is physics: kV sets contrast, mAs sets noise, filtration sets the spectrum. Phantom indices, not patient dose. Size-specific dose estimate (SSDE) applies a conversion from effective diameter. Direct-beam only — overscan is extra.

In this specialty

Diagnostic imaging