Flag Difference Hamming Pixel Comparator

Exact Hamming comparison of registered categorical flag pixel grids, no image scaling, palette remapping, perceptual distance or political-identity inference.

Description

Hamming distance counts exact mismatches between categorical cells.

Hamming distance counts exact mismatches between categorical cells.^[1]

For registered flag grids it measures label differences without introducing resampling or perceptual color judgments.

When to use Flag Difference Hamming Pixel Comparator

Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.

How to use Flag Difference Hamming Pixel Comparator and understand its results

Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
Enter firstRegisteredPaletteGrid, secondRegisteredPaletteGrid, following the field table and rules below, then run the tool.
Read result. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.

Input field	Meaning	Value type	Requirement
firstRegisteredPaletteGrid	First registered palette grid	numeric matrix	Required
secondRegisteredPaletteGrid	Second registered palette grid	numeric matrix	Required

Use identical nonempty rectangular grid dimensions with integer palette IDs from zero to one million. Compare cells at the same row and column. Return the count and count divided by total cells.

fraction=mismatches/(rows×columns)

Symbols follow the input and output meanings and the calculation rules above.

Output field	Meaning	Value type
result	Calculated observation or reference	object
result.exactMismatchCount	Exact Mismatch Count	number
result.mismatchedCellFraction	Mismatched Cell Fraction	number

json

{
  "input": {
    "firstRegisteredPaletteGrid": [
      [
        1,
        2
      ],
      [
        3,
        4
      ]
    ],
    "secondRegisteredPaletteGrid": [
      [
        1,
        2
      ],
      [
        3,
        5
      ]
    ]
  },
  "output": {
    "result": {
      "exactMismatchCount": 1,
      "mismatchedCellFraction": 0.25
    }
  }
}

Limitations and assumptions

The calculation uses supplied geometry, observations, or annotations. It does not establish an official construction specification, national identity, or universal design quality.

Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Evidence arrays must be dense, with no missing cells. Numeric matrices are limited to 128 rows and 128 entries per row, with rectangularity required where stated. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related review, use Mirror Reversibility Obverse-Reverse Checker: Mirror reversibility compares registered obverse and reverse designs under horizontal reflection. Exact palette grids make that comparison reproducible when both views share the same top and hoist registration. For a complementary step, use Distinctiveness Uniqueness Heuristic Rater: Distinctiveness against a supplied reference can be described by exact categorical differences. This tool uses your independently selected nearest reference and attribute weights rather than searching a flag registry.

References

Flag Difference Hamming Pixel Comparator — tool.io

Similar or alternative tools

Mirror Reversibility Obverse-Reverse Checker
Mirror reversibility compares registered obverse and reverse designs under horizontal reflection. Exact palette grids make that comparison reproducible when both views share the same top and hoist registration.
Distinctiveness Uniqueness Heuristic Rater
Distinctiveness against a supplied reference can be described by exact categorical differences. This tool uses your independently selected nearest reference and attribute weights rather than searching a flag registry.