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Orthodontic Bracket Position Offset

Reference an explicit bracket-position measurement under a supplied axis sign without choosing placement.

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Description

Reorient a bracket-position difference using a supplied positive-direction sign.

Dental model coordinates depend on scale, reference midlines, laterality and unit conventions. A wire diameter conversion differs from selecting a wire or estimating force, and a planar point distance differs from a complete arch measurement. Appliance labels and local geometry do not choose treatment stages or establish clinically suitable adjustments.

Reorient a bracket-position difference using a supplied positive-direction sign.

When to use this tool

Use Orthodontic Bracket Position Offset when you already have recordedPosition, referencePosition, positiveDirectionSign and need to reorient a bracket-position difference using a supplied positive-direction sign.

How to use the tool and how it works

  1. Enter recordedPosition, referencePosition, positiveDirectionSign. 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 referencedOffset. Use the output convention below.

Require positiveDirectionSign exactly 1 or -1; return (recordedPosition-referencePosition)*sign.1

Input fieldMeaning and unitsAccepted input
recordedPositionRecorded PositionRequired. Finite number.
referencePositionReference PositionRequired. Finite number.
positiveDirectionSignPositive Direction SignRequired. Finite number.
Output fieldInterpretationReturned shape
referencedOffsetReferenced OffsetRequired. Finite number.
json
{
  "input": {
    "recordedPosition": 4,
    "referencePosition": 3,
    "positiveDirectionSign": 1
  },
  "output": {
    "referencedOffset": 1
  }
}

Limitations and assumptions

  • Positions share a coordinate/unit basis; no suitable bracket location or treatment adjustment is selected.
  • 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 dental models and the original coordinate, midline and appliance-plan definitions for a full geometric review. Keep simple unit changes and local offsets separate from choosing a wire, stage, force or treatment adjustment.

References

  1. Calculation and input contract: orthodontics/orthodontic-bracket-position-offset — tool.io

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