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Microscopy Field Overlap Count Adjustment Tool

Unique object count and field-union area from explicit cross-field matches; no image registration or automated deduplication.

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Description

Subtract matchedOverlapCount from the two counts and overlapArea from the two areas.

Counts per field or area depend on the sampled denominator and any overlap or edge policy. Scaling a sampled density assumes the counted region represents the target region.

Subtract matchedOverlapCount from the two counts and overlapArea from the two areas.

When to use this tool

Use Microscopy Field Overlap Count Adjustment when you need a transparent field, grid, or area-normalized count.

How to use the tool and how it works

  1. Enter firstCount, secondCount, matchedOverlapCount, firstArea, secondArea, overlapArea. 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 uniqueCount, unionArea, density. Use the output convention below.

Subtract matchedOverlapCount from the two counts and overlapArea from the two areas. Divide uniqueCount by positive unionArea for density.1

Input fieldMeaning and unitsAccepted input
firstCountFirst CountRequired. Safe integer; minimum 0.
secondCountSecond CountRequired. Safe integer; minimum 0.
matchedOverlapCountMatched Overlap CountRequired. Safe integer; minimum 0.
firstAreaFirst AreaRequired. Finite number; strictly above 0.
secondAreaSecond AreaRequired. Finite number; strictly above 0.
overlapAreaOverlap AreaRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
uniqueCountUnique CountRequired. Safe integer.
unionAreaUnion AreaRequired. Finite number.
densityDensityRequired. Finite number.
json
{
  "input": {
    "firstCount": 30,
    "secondCount": 25,
    "matchedOverlapCount": 5,
    "firstArea": 2,
    "secondArea": 2,
    "overlapArea": 0.5
  },
  "output": {
    "uniqueCount": 50,
    "unionArea": 3.5,
    "density": 14.285714285714286
  }
}

Limitations and assumptions

  • Overlap counts and area must already be known; detections are not matched automatically and sampling bias is not corrected.
  • 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 the original images and a documented sampling and counting protocol, with uncertainty analysis where needed.

References

  1. Calculation and input contract: microbiology/microscopy-field-overlap-count-adjustment — tool.io

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