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Turtle Shell Photo Area Factor Tool

Planar photo-area calibration with a supplied single-axis cosine foreshortening correction, excluding shell curvature.

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Description

Convert nonnegative pixelArea using squared scaleLength/scalePixels, then divide projectedArea by cosine(obliquityRadians), with angle strictly within ±π/2.

Reptile and amphibian morphometrics use landmarks, measurement paths, image scales, and supplied correction models. A numeric adjustment does not establish anatomy, growth, health, or animal welfare.

Convert nonnegative pixelArea using squared scaleLength/scalePixels, then divide projectedArea by cosine(obliquityRadians), with angle strictly within ±π/2.

When to use this tool

Use Turtle Shell Photo Area Factor when you need one documented animal measurement component.

How to use the tool and how it works

  1. Enter pixelArea, scaleLength, scalePixels, obliquityRadians. 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 projectedArea, correctedArea. Use the output convention below.

Convert nonnegative pixelArea using squared scaleLength/scalePixels, then divide projectedArea by cosine(obliquityRadians), with angle strictly within ±π/2.1

Input fieldMeaning and unitsAccepted input
pixelAreaPixel AreaRequired. Finite number; minimum 0.
scaleLengthScale LengthRequired. Finite number; strictly above 0.
scalePixelsScale PixelsRequired. Finite number; strictly above 0.
obliquityRadiansObliquity RadiansRequired. Finite number.
Output fieldInterpretationReturned shape
projectedAreaProjected AreaRequired. Finite number.
correctedAreaCorrected AreaRequired. Finite number.
json
{
  "input": {
    "pixelArea": 10000,
    "scaleLength": 10,
    "scalePixels": 100,
    "obliquityRadians": 0
  },
  "output": {
    "projectedArea": 100.00000000000001,
    "correctedArea": 100.00000000000001
  }
}

Limitations and assumptions

  • The angle is tilt from a face-on planar view; a curved shell, lens distortion, perspective variation, and actual animal size require separate modeling.
  • 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

Check measurement conventions, species-specific evidence, uncertainty, and appropriate animal-care expertise before biological or welfare decisions.

References

  1. Calculation and input contract: herpetology/turtle-shell-photo-area-factor — tool.io

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