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Arch Landmark Reader Sign Gap Tool

Compare supplied reader coordinates after explicit sign normalization.

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Description

Compare supplied reader coordinates after explicit sign normalization.

Dental models distinguish lengths along a curve, straight landmark distances, signed midline offsets, and supplied material budgets. Each calculation needs an explicit coordinate frame, unit, and reference convention. A geometric term can describe a model without establishing an appropriate treatment or device.

Compare supplied reader coordinates after explicit sign normalization.

When to use this tool

Use Arch Landmark Reader Sign Gap when you need this model-space, landmark, midline, or material-budget component from supplied dimensions.

How to use the tool and how it works

  1. Enter firstCoordinate, secondCoordinate, firstReversed, secondReversed. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read signedGap. Use the output convention below.

Independently negate firstCoordinate and secondCoordinate according to firstReversed and secondReversed, then return signedGap=adjustedSecond-adjustedFirst.1

Input fieldMeaning and unitsAccepted input
firstCoordinateFirst CoordinateRequired. Finite number.
secondCoordinateSecond CoordinateRequired. Finite number.
firstReversedFirst ReversedRequired. Boolean.
secondReversedSecond ReversedRequired. Boolean.
Output fieldInterpretationReturned shape
signedGapSigned GapRequired. Finite number.
json
{
  "input": {
    "firstCoordinate": 3,
    "secondCoordinate": -4,
    "firstReversed": false,
    "secondReversed": true
  },
  "output": {
    "signedGap": 1
  }
}

Limitations and assumptions

  • Both readings need a common length unit and aligned origin after sign conversion. Two sign switches do not establish a complete coordinate-frame registration, reader reliability, or anatomical alignment.
  • 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. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use calibrated model measurements and a suitable full geometry or material model when one term is insufficient. Verify units, coordinate frames, shape assumptions, and reference conventions before comparing results.

References

  1. Calculation and input contract: orthodontics/arch-landmark-reader-sign-gap — tool.io

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