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Leaf Area Scale Factor Tool

Derive one measured image-reference area multiplier in target length units squared per pixel squared, without leaf segmentation.

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Description

Return physical length and area represented by a pixel.

Botanical measurements use explicit specimen geometry, pixel scales, length origins and angular direction. A projected-area ratio or geometric contribution summarizes supplied measurements without identifying a species, recovering an actual shape or establishing biological health.

Return physical length and area represented by a pixel.

When to use this tool

Use Leaf Area Scale Factor when checking the stated plant-measurement, geometry or angular convention.

How to use the tool and how it works

  1. Enter referencePixels, suppliedReferenceLength, sourceUnitInTargetUnits. 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 lengthPerPixel, areaPerPixel. Use the output convention below.

Return physical length and area represented by a pixel. Require positive referencePixels/referenceLength/sourceUnitInTargetUnits; lengthPerPixel = length*unitFactor/pixels, areaPerPixel is its square.1

Input fieldMeaning and unitsAccepted input
referencePixelsReference PixelsRequired. Finite number; strictly above 0.
suppliedReferenceLengthSupplied Reference LengthRequired. Finite number; strictly above 0.
sourceUnitInTargetUnitsSource Unit In Target UnitsRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
lengthPerPixelLength Per PixelRequired. Finite number.
areaPerPixelSquare of the supplied length-calibration factor; area units scale quadratically.Required. Finite number.
json
{
  "input": {
    "referencePixels": 20,
    "suppliedReferenceLength": 5,
    "sourceUnitInTargetUnits": 1
  },
  "output": {
    "lengthPerPixel": 0.25,
    "areaPerPixel": 0.0625
  }
}

Limitations and assumptions

  • The same calibrated scale is assumed on both image axes; lens distortion, image metadata and actual reference accuracy are not checked.
  • 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

Inspect the specimen and measurement protocol, apply verified calibration and use an appropriate biological or geometric model for substantive interpretation.

References

  1. Calculation and input contract: botany/leaf-area-scale-factor — tool.io

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