Mandibular Gonial Angle Measurement Tool

Mandibular Gonial actual ordered planar-ray angle from independently identified measurement landmarks;3 Dprojection, protocol and biological interpretation caller established. Caller independently establishes sample/context/calibration applicability; not definitive chronology, provenance, taxonomy, disease or human identity.

Description

A gonial-angle measurement depends on independently defined rays and a measurement plane.

A gonial-angle measurement depends on independently defined rays and a measurement plane.1

A planar angle alone does not diagnose age, sex or health. Use Mandibular Gonial Angle Measurement Tool to evaluate the supplied inputs under the model explained below.

When to use Mandibular Gonial Angle Measurement Tool

Use Mandibular Gonial Angle Measurement Tool to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Mandibular Gonial Angle Measurement Tool and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Observed mandibular gonial ray one, Observed mandibular gonial ray two using the field table and validation rules below, then run the tool.
  3. Read Observed planar angle degrees; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
observedMandibularGonialRayOneObserved mandibular gonial ray onearray of numberRequired; constraints below
observedMandibularGonialRayTwoObserved mandibular gonial ray twoarray of numberRequired; constraints below

Enter exactly two finite components for each of two nonzero planar ray vectors. Normalize by their lengths, clamp their dot product into [−1,1] and return acos in degrees from 0 to 180. No landmark selection, image calibration or biological classification occurs.

angleDegrees=acos(clamp(dot(unitRay1,unitRay2),−1,1))×180/π

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
observedPlanarAngleDegreesObserved planar angle degreesnumber
json
{
  "input": {
    "observedMandibularGonialRayOne": [
      1,
      0
    ],
    "observedMandibularGonialRayTwo": [
      0,
      1
    ]
  },
  "output": {
    "observedPlanarAngleDegrees": 90
  }
}

Limitations and assumptions

A planar angle alone does not diagnose age, sex or health. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Flake Platform Angle Measurement Tool for a related task: A platform angle is measured between independently defined planar ray directions.

Use Green/Dry Bone Fracture Velocity Classifier for a related task: Fracture-state interpretation depends on independently observed features and a rule set.

References

  1. Mandibular Gonial Angle Measurement Tool — tool.io

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