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Model Scan Scale Residual Tool

Compare supplied scan/model dimensions after explicit scale normalization.

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Description

Compare supplied scan/model dimensions after explicit scale normalization.

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 scan/model dimensions after explicit scale normalization.

When to use this tool

Use Model Scan Scale Residual when you need this particular model geometry, device budget, observation share, or record comparison.

How to use the tool and how it works

  1. Enter scanLength, suppliedScale, modelLength. 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 convertedScanLength, residual. Use the output convention below.

For nonnegative scanLength and modelLength and positive suppliedScale return convertedScanLength=scanLength*scale and residual=convertedScanLength-modelLength.1

Input fieldMeaning and unitsAccepted input
scanLengthScan LengthRequired. Finite number; minimum 0.
suppliedScalePositive multiplier converting the supplied coordinate or measurement difference into output units.Required. Finite number; strictly above 0.
modelLengthModel LengthRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
convertedScanLengthConverted Scan LengthRequired. Finite number.
residualSigned recorded/observed-minus-implied discrepancy under the stated formula.Required. Finite number.
json
{
  "input": {
    "scanLength": 20,
    "suppliedScale": 0.5,
    "modelLength": 9
  },
  "output": {
    "convertedScanLength": 10,
    "residual": 1
  }
}

Limitations and assumptions

  • Scale must map scan units into model-length units. The result is a signed supplied-reference comparison rather than registration, calibration fitting, scan-quality validation, or an assessment of clinical accuracy.
  • 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

  1. Calculation and input contract: orthodontics/model-scan-scale-residual — tool.io

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