Tracking Accuracy mm Calculator

Actual singlematchedtrackingpositionEuclideanerrorvs independentgroundtruthmm, not precision or latency or inferred tracking accuracy from data rate.

Description

Tracking accuracy compares a measured position with an independent reference position.

Tracking accuracy compares a measured position with an independent reference position.^[1]

A single Euclidean error describes that observation rather than the repeatability of the tracking system. The calculation and input requirements are explained below.

When to use Tracking Accuracy mm Calculator

Enter a measured 3D position and independently matched ground-truth 3D position in mm.

How to use Tracking Accuracy 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 Accuracy 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
actualMeasuredPositionMm	Actual Measured Position Mm. Use the units and matching context stated in the calculation below.	array of number	Required; other constraints below
actualIndependentGroundTruthPositionMm	Actual Independent Ground Truth Position Mm. Use the units and matching context stated in the calculation below.	array of number	Required; other constraints below

Enter a measured 3D position and independently matched ground-truth 3D position in mm. Subtract component by component and return the Euclidean length of the residual vector. Both lists must have exactly three elements.

errorMm=hypot(measuredX-referenceX,measuredY-referenceY,measuredZ-referenceZ)

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.observedEuclideanPositionErrorMm	Observed Euclidean Position Error Mm. Interpret its unit, sign, order or availability flag as explained above.	number

json

{
  "input": {
    "actualMeasuredPositionMm": [
      1,
      2,
      3
    ],
    "actualIndependentGroundTruthPositionMm": [
      0,
      2,
      3
    ]
  },
  "output": {
    "result": {
      "observedEuclideanPositionErrorMm": 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 Precision mm Calculator for a complementary operation: Tracking precision concerns how closely repeated measurements cluster.

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 Accuracy mm Calculator — tool.io

Similar or alternative tools

Tracking Precision mm Calculator
Tracking precision concerns how closely repeated measurements cluster.
Eye Tracking Accuracy Degrees Calculator
Angular gaze error compares the directions of a measured gaze vector and an independent target vector.