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Root Image Magnification Base Flag Tool

Apply an explicit magnification-versus-object-per-image scale convention.

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Description

If factorIsMagnification is true, objectLength = imageLength/scaleFactor; otherwise objectLength = imageLength*scaleFactor.

Dental specimen and bench-model measurements need an explicit image scale, coordinate origin and geometric convention. A linear taper, chord ratio or calibrated length describes a supplied model and does not establish anatomy or guide clinical treatment.

If factorIsMagnification is true, objectLength = imageLength/scaleFactor; otherwise objectLength = imageLength*scaleFactor.

When to use this tool

Use Root Image Magnification Base Flag when checking a supplied research or bench-model dimension.

How to use the tool and how it works

  1. Enter imageLength, scaleFactor, factorIsMagnification. 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 objectLength. Use the output convention below.

Require nonnegative imageLength and positive scaleFactor. If factorIsMagnification is true, objectLength = imageLength/scaleFactor; otherwise objectLength = imageLength*scaleFactor.1

Input fieldMeaning and unitsAccepted input
imageLengthImage LengthRequired. Finite number; minimum 0.
scaleFactorScale FactorRequired. Finite number; strictly above 0.
factorIsMagnificationFactor Is MagnificationRequired. Boolean.
Output fieldInterpretationReturned shape
objectLengthObject LengthRequired. Finite number.
json
{
  "input": {
    "imageLength": 20,
    "scaleFactor": 2,
    "factorIsMagnification": true
  },
  "output": {
    "objectLength": 10
  }
}

Limitations and assumptions

  • The flag distinguishes image/object magnification from object/image calibration. Units and calibration validity are supplied; no image measurement or treatment planning is performed.
  • 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 verified specimen and instrument methods, full geometry and professional clinical assessment when the question extends beyond bench arithmetic.

References

  1. Calculation and input contract: endodontics/root-image-magnification-base-flag — tool.io

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