Description
Compare supplied research axes under explicit 180- or 360-degree periodicity.
Dental model and device records use coordinate frames, image scale, dimensions, force references, and observation schedules. A projection, gap, ratio, or metadata order checks a particular supplied representation. These local calculations do not establish a treatment plan or the clinical suitability of a device.
Compare supplied research axes under explicit 180- or 360-degree periodicity.
When to use this tool
Use Tooth Axis Reference Angle when you need this particular model geometry, device budget, observation share, or record comparison.
How to use the tool and how it works
- Enter axisDegrees, referenceDegrees, unoriented. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read acuteGapDegrees. Use the output convention below.
Use a period of 180 degrees if unoriented, otherwise 360. Wrap axisDegrees-referenceDegrees into that period and return acuteGapDegrees=min(wrapped,period-wrapped), reducing operands separately if direct subtraction overflows.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| axisDegrees | Axis Degrees | Required. Finite number. |
| referenceDegrees | Reference Degrees | Required. Finite number. |
| unoriented | Unoriented | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| acuteGapDegrees | Shortest angle: up to 180 degrees directed, or 90 degrees unoriented. | Required. Finite number. |
{
"input": {
"axisDegrees": 170,
"referenceDegrees": 10,
"unoriented": true
},
"output": {
"acuteGapDegrees": 20
}
}Limitations and assumptions
- Despite the output name, directed mode can return up to 180 degrees; only unoriented mode is limited to 90. Angles are supplied, with no axis fitting, anatomical reference selection, or clinical interpretation.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Use a validated measurement or device model and appropriate source records for the full task. Check coordinate systems, calibration, geometric assumptions, and observation denominators before interpreting the term.
References
Similar or alternative tools
- Joint Motion Research Range Term
Descriptive research range comparison against explicit supplied bounds, without selecting normal joint-motion limits.
- Joint Angle Reference Offset
Compare one supplied angle to an explicit orthopedic research baseline with side/axis metadata, reusing generic subtraction.