Vair Bell Pattern Unit Counter

Count independently annotated VairBellunits by rows; retain partial edge units separately, no assumed complete rectangular tiling.

Description

Vair patterns contain repeated bell-like units that may be cut at row boundaries.

Vair patterns contain repeated bell-like units that may be cut at row boundaries.^[1]

Complete and partial annotated units should be counted separately.

When to use Vair Bell Pattern Unit Counter

Use this tool to calculate or review the supplied observations under the stated rules. Establish the source tradition, viewing frame, coordinate units and independently annotated features.

How to use Vair Bell Pattern Unit Counter and understand its results

Establish the source tradition, viewing frame, coordinate units and independently annotated features.
Enter completeUnitsPerRow, partialUnitsPerRow, using the field meanings and rules below, then run the tool.
Read result.completeUnitCount, result.partialUnitCount, using the output meanings and calculation rules below.
Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.

Input field	Meaning	Value type	Requirement
completeUnitsPerRow	Complete units per row	list of number	Required
partialUnitsPerRow	Partial units per row	list of number	Required

Supply nonempty aligned per-row complete and partial unit counts, each a nonnegative safe integer. Sum complete counts and partial counts separately, retaining partial units as whole annotated partial occurrences rather than converting them to fractions.

completeUnits=Σ completePerRow; partialUnits=Σ partialPerRow

Use the matching field units and the exact boundary, ordering and reference rules above.

Output field	Meaning	Value type
result	Calculated observation or reference	object
result.completeUnitCount	complete Unit Count	number
result.partialUnitCount	partial Unit Count	number

json

{
  "input": {
    "completeUnitsPerRow": [
      4,
      3,
      4
    ],
    "partialUnitsPerRow": [
      0,
      1,
      0
    ]
  },
  "output": {
    "result": {
      "completeUnitCount": 11,
      "partialUnitCount": 1
    }
  }
}

Limitations and assumptions

The rows and clipped-unit annotations are supplied. No pattern recognition, fractional area or reconstruction of missing units is performed.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Papellony Scallop Row Counter: Papellony patterns consist of repeated scale-like units whose rows can end in partial units. For a complementary comparison, use Ermine Spot Pattern Density Calculator: Ermine spot density relates annotated spots to the inspected area.

References

Vair Bell Pattern Unit Counter — tool.io

Similar or alternative tools

Papellony Scallop Row Counter
Papellony patterns consist of repeated scale-like units whose rows can end in partial units.
Ermine Spot Pattern Density Calculator
Ermine spot density relates annotated spots to the inspected area.