Eye Tracking Accuracy Degrees Calculator

Actual nonzero3Dgazevectorangularerroragainst independently matched target degrees, do tangle not precision/latency.

Description

Angular gaze error compares the directions of a measured gaze vector and an independent target vector.

Angular gaze error compares the directions of a measured gaze vector and an independent target vector.1

Vector magnitude is removed from the comparison by normalization. The calculation and input requirements are explained below.

When to use Eye Tracking Accuracy Degrees Calculator

Enter two nonzero 3D vectors.

How to use Eye Tracking Accuracy Degrees Calculator and how it works

  1. Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
  2. Enter the required fields and run Eye Tracking Accuracy Degrees Calculator.
  3. Read the result fields using the formula, output units, signs and ordering explained below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
actualMeasuredGazeVectorActual Measured Gaze Vector. Use the units and matching context stated in the calculation below.array of numberRequired; other constraints below
actualIndependentTargetVectorActual Independent Target Vector. Use the units and matching context stated in the calculation below.array of numberRequired; other constraints below

Enter two nonzero 3D vectors. Compute their dot product divided by their lengths, clamp the ratio to -1–1 for numerical rounding, and take arccos in degrees. The angular error does not include time latency or repeatability.

angleDeg=acos(clamp(dot(gaze,target)/(norm(gaze)*norm(target)),-1,1))*180/pi

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueNumeric result under the formula and output units explained above.number
json
{
  "input": {
    "actualMeasuredGazeVector": [
      1,
      0,
      0
    ],
    "actualIndependentTargetVector": [
      0,
      1,
      0
    ]
  },
  "output": {
    "result": {
      "value": 90
    }
  }
}

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 Tracking Accuracy mm Calculator for a complementary operation: Tracking accuracy compares a measured position with an independent reference position.

References

  1. Eye Tracking Accuracy Degrees Calculator — tool.io

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