Tracking Precision mm Calculator
Actual3Dstationarytrackingpopulation RMS scatter aroundcentroidmm, precision not ground truth accuracy; independent noise/drift/exposure assumption external.
Description
Tracking precision concerns how closely repeated measurements cluster.
Tracking precision concerns how closely repeated measurements cluster.1
Scatter around the centroid measures repeatability even when the entire cluster is offset from ground truth. The calculation and input requirements are explained below.
When to use Tracking Precision mm Calculator
Enter at least two repeated stationary positions, each with exactly three coordinates in mm.
How to use Tracking Precision mm Calculator and how it works
- Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
- Enter the required fields and run Tracking Precision mm Calculator.
- Read the result fields using the formula, output units, signs and ordering explained below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualStationaryRepeatedPositionsMm | Actual Stationary Repeated Positions Mm. Use the units and matching context stated in the calculation below. | array of array of number | Required; other constraints below |
Enter at least two repeated stationary positions, each with exactly three coordinates in mm. Compute their centroid and then the square root of the mean squared 3D distance from that centroid. This is population RMS repeatability, not ground-truth error or a sample-standard-deviation correction.
precisionMm=sqrt(mean(sum((position-centroid)^2))) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.observedRmsRepeatabilityAroundCentroidMm | Observed Rms Repeatability Around Centroid Mm. Interpret its unit, sign, order or availability flag as explained above. | number |
{
"input": {
"actualStationaryRepeatedPositionsMm": [
[
0,
0,
0
],
[
2,
0,
0
]
]
},
"output": {
"result": {
"observedRmsRepeatabilityAroundCentroidMm": 1
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Tracking Accuracy mm Calculator for a complementary operation: Tracking accuracy compares a measured position with an independent reference position.
Use Eye Tracking Accuracy Degrees Calculator for a complementary operation: Angular gaze error compares the directions of a measured gaze vector and an independent target vector.
References
-
Tracking Precision mm Calculator — tool.io
Similar or alternative tools
- Tracking Accuracy mm Calculator
Tracking accuracy compares a measured position with an independent reference position.
- Eye Tracking Accuracy Degrees Calculator
Angular gaze error compares the directions of a measured gaze vector and an independent target vector.