Generator

One exact match, handed to two hundred people

Three primaries 2 nm wide are solved so that their sum has exactly the tristimulus values of D65 for the reference member of the population — three equations, three unknowns, residual 4.3e-16 of the white's luminance. The histogram is what everybody else sees: a median of 9.3 ΔE00, a ninety-fifth percentile of 17.9, and a worst case of 20.1. Two members picked at random disagree with each other by 4.6 units at the median. Nothing about the two spectra changed between the reader of this caption and the next one.
One exact match, handed to two hundred people. Three primaries 2 nm wide are solved so that their sum has exactly the tristimulus values of D65 for the reference member of the population — three equations, three unknowns, residual 4.3e-16 of the white's luminance. The histogram is what everybody else sees: a median of 9.3 ΔE00, a ninety-fifth percentile of 17.9, and a worst case of 20.1. Two members picked at random disagree with each other by 4.6 units at the median. Nothing about the two spectra changed between the reader of this caption and the next one.

Drawn at its defaults, in the observer as a distribution. It reads 6 options and no others: show, n, seed, bins, centres, widths.

Called by 7 essays

the blast radius of changing it

Matching and measuring

Four primaries have a choice

Three primaries matching three numbers have one answer. Four have a family of them, every member exact to floating point for the observer they were solved for — and the members are not equally good for anybody else, so a display with a fourth primary has a setting that is robust to who is looking at it and a setting that is not.

Difference and uniformity

A tolerance is a probability

A colorimeter reports one number and a specification compares it with another, and both are computed for an observer who does not exist. Handed to two hundred people, the same pair at ΔE00 1.0 is read from 0.8 to 3.7 — and which of those two ranges applies depends on something no specification records.

What a camera does

Fitted to an eye nobody has

A camera profile's residual against the observer it was fitted to is under a unit, and that is the number everybody quotes. Against a person drawn from a population it is 3.35 at the ninety-fifth percentile — and a camera with no spectral error whatever, reporting the standard observer's tristimulus values exactly, would carry 3.47. The camera is not the problem.

Matching and measuring

A gamut has a population

Whether a display can reproduce a paint is a fact about somebody's cones, so the boundary of a gamut is not a curve but a band. On a laser projector, ten of twenty-eight boundary surfaces are ones the standard observer calls displayable and some real people cannot see — and the wider the gamut, the wider the band.

What the eye does

A confusion point is a missing pigment

The nine numbers colour matching leaves free are fixed by three points on a chromaticity diagram, each of them the place where everything one class of dichromat cannot tell apart converges. Two of the three lie outside the diagram entirely, which is not a defect — a direction in tristimulus space need not correspond to a light.

Where the model breaks

The price is also the person

The receptor construction costs seventy per cent above the unconstrained floor, which is a number usually quoted as a property of the construction. Propagated across a population of eyes it runs from a quarter above the floor to a hundred and thirty per cent above it, and the population's own spread is wider than the entire gap between the published transforms the seventy per cent was being compared against.

Matching and measuring

A narrow primary buys a disagreement

The observer audit decomposes what a display costs a population. Narrowing the primaries raises the pigment-peak departure monotonically, moving one raises or lowers the macular departure, and the two respond to different design variables — so a wide gamut and an observer-robust display are bought with the same money.

All 155 generators · what each essay asks for instead