Description
Ideal projection magnification using matched source-object and source-detector distances, excluding perspective tilt and detector distortion.
An image grid has array indices as well as physical spacing, timing, and signal conventions. A calculation on supplied metadata describes one part of that grid or signal; it does not inspect an image, validate a complete file, or interpret anatomy.
Ideal projection magnification using matched source-object and source-detector distances, excluding perspective tilt and detector distortion.
When to use this tool
Use it for radiology geometric magnification similar triangle term when the required inputs and conventions are already available.
How to use the tool and how it works
- Enter sourceDetectorDistance, sourceObjectDistance, measuredImageLength. Use the stated units and boundary conventions.
- Run the calculation. Correct any input error before interpreting a result.
- Read magnification, objectLength. Inspect any known, defined, inclusion, or boundary flags before interpreting numeric values.
Require positive sourceDetectorDistance and sourceObjectDistance distances with sourceObjectDistance no greater than sourceDetectorDistance, and nonnegative measuredImageLength. Compute magnification=sourceDetectorDistance/sourceObjectDistance and objectLength=measuredImageLength*sourceObjectDistance/sourceDetectorDistance.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| sourceDetectorDistance | Source Detector Distance | Required. Finite number; strictly above 0. |
| sourceObjectDistance | Source Object Distance | Required. Finite number; strictly above 0. |
| measuredImageLength | Measured Image Length | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| magnification | Magnification | Required. Finite number. |
| objectLength | Object Length | Required. Finite number. |
{
"input": {
"sourceDetectorDistance": 100,
"sourceObjectDistance": 80,
"measuredImageLength": 25
},
"output": {
"magnification": 1.25,
"objectLength": 20
}
}Limitations and assumptions
- Use the same distance unit for both source distances. The result assumes ideal similar-triangle projection and does not correct object tilt, detector distortion, or positioning errors.
- The field tables describe structural bounds; the mechanics also state cross-field requirements. Malformed input shapes, disallowed keys, and invalid domains cause input errors. Results must remain finite and within the declared output contract. A successful false flag or zero placeholder is distinct from an error.
- Numeric arithmetic uses binary floating point. Exact comparisons have no hidden tolerance or decimal rounding; negative zero is exported as zero. Decimal-text integer operations retain the exactness specifically stated above.
Alternative or Complementary methods
For radiology geometric magnification similar triangle term, check the source records and the supplied rule before comparing the result with another method. Use a full image reader and geometry or signal analysis when the task requires interpreting image data.
References
Similar or alternative tools
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