Description
Square and cube retention for area and volume factors and divide the observations by those factors.
Histology images and sections have pixel scales, physical dimensions, cutting indexes, and processing changes. Geometric arithmetic depends on those conventions and does not identify tissue or establish diagnostic adequacy.
Square and cube retention for area and volume factors and divide the observations by those factors.
When to use this tool
Use Histology Shrinkage Linear Area Factor when you need one explicit histology image-scale or section-geometry component.
How to use the tool and how it works
- Enter linearRetention, observedArea, observedVolume. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read areaRetention, volumeRetention, originalArea, originalVolume. Use the output convention below.
Require positive linearRetention and nonnegative observedArea and observedVolume. Square and cube retention for area and volume factors and divide the observations by those factors.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| linearRetention | Linear Retention | Required. Finite number; strictly above 0. |
| observedArea | Observed Area | Required. Finite number; minimum 0. |
| observedVolume | Observed Volume | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| areaRetention | Area Retention | Required. Finite number. |
| volumeRetention | Volume Retention | Required. Finite number. |
| originalArea | Original Area | Required. Finite number. |
| originalVolume | Original Volume | Required. Finite number. |
{
"input": {
"linearRetention": 0.8,
"observedArea": 64,
"observedVolume": 512
},
"output": {
"areaRetention": 0.6400000000000001,
"volumeRetention": 0.5120000000000001,
"originalArea": 99.99999999999999,
"originalVolume": 999.9999999999998
}
}Limitations and assumptions
- Retention is observed/original linear size and may exceed one; the correction assumes isotropic scaling and does not estimate actual tissue distortion.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Verify calibration, section preparation, image registration, and the complete sampling protocol before interpreting tissue measurements.
References
Similar or alternative tools
- Section Obliquity Apparent Thickness Factor
Divide thickness by cosine(angle) and return the reciprocal-cosine factor.
- Fish Sample Preservation Shrink Factor
Divide nonnegative preservedLength by positive originalRetention and preservedMass by positive massRetention.