Brand Hue Variance Degrees Across Assets
Audit asset hue offsets against explicit reference with circular mean/resultant and absent-mean flag for antipodal cancellation; hues should represent chromatic assets, no arithmetic mean across 0/360 or automatic brand tolerance.
Description
Brand hue deviations should use circular offsets around an explicit reference.
Brand hue deviations should use circular offsets around an explicit reference. Opposing observations can leave the circular mean unavailable.1
Enter nonempty hues/reference bounded±10^9 degrees. Normalize and return shortest offsets, maximum absolute deviation and resultant length. Mean requires R>1 e−12; otherwise return 0 with false. An exact 180-degree offset maps to−180.
When to use Brand Hue Variance Degrees Across Assets
Use Brand Hue Variance Degrees Across Assets when you need to evaluate the supplied records under the calculation and evidence rules below. No arithmetic hue variance, achromatic hue evidence or automatic brand tolerance is inferred.
Prepare colors in the stated color space and scale. Use encoded RGB fractions, linear RGB, Lab, xy, byte values or ink percentages exactly as requested; supply caller tolerances and reference conditions.
How to use Brand Hue Variance Degrees Across Assets and understand its results
- Prepare colors in the stated color space and scale. Use encoded RGB fractions, linear RGB, Lab, xy, byte values or ink percentages exactly as requested; supply caller tolerances and reference conditions.
- Enter observedHueDegrees, referenceHueDegrees using the field table and calculation rules, then run the tool.
- Read signedShortestHueOffsetsDegrees, circularMeanHueDegrees, circularMeanAvailable, maximumAbsoluteHueDeviationDegrees, resultantLength. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| observedHueDegrees | Observed hue degrees | list of number | Required |
| referenceHueDegrees | Reference hue degrees | number | Required |
Enter nonempty hues/reference bounded±10^9 degrees. Normalize and return shortest offsets, maximum absolute deviation and resultant length. Mean requires R>1 e−12; otherwise return 0 with false. An exact 180-degree offset maps to−180.
offset=((hue−reference+540) mod360)−180; mean=atan2(mean sin,mean cos) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| signedShortestHueOffsetsDegrees | Signed shortest hue offsets degrees | list of number |
| circularMeanHueDegrees | Circular mean hue degrees | number |
| circularMeanAvailable | Circular mean available | boolean |
| maximumAbsoluteHueDeviationDegrees | Maximum absolute hue deviation degrees | number |
| resultantLength | Resultant length | number |
{
"input": {
"observedHueDegrees": [
350,
10
],
"referenceHueDegrees": 0
},
"output": {
"signedShortestHueOffsetsDegrees": [
-10,
10
],
"circularMeanHueDegrees": 0,
"circularMeanAvailable": true,
"maximumAbsoluteHueDeviationDegrees": 10,
"resultantLength": 0.9848077530122079
}
}Limitations and assumptions
No arithmetic hue variance, achromatic hue evidence or automatic brand tolerance is inferred.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Flag Dominant Hue Average Extractor: A weighted circular hue mean excludes achromatic observations while preserving their share of area. Opposing hues may cancel. For a complementary task, use Brand Color Perceptual Distance Rank: Brand swatch ranking can compare caller references within one Lab frame. Stable ties preserve original provenance.
References
-
Brand Hue Variance Degrees Across Assets — tool.io
Similar or alternative tools
- Flag Dominant Hue Average Extractor
A weighted circular hue mean excludes achromatic observations while preserving their share of area. Opposing hues may cancel.
- Brand Color Perceptual Distance Rank
Brand swatch ranking can compare caller references within one Lab frame. Stable ties preserve original provenance.