Metameric Color Stimuli, Fundamental Metamers, and Wyszecki's Metameric Blacks

The prior statistics of object colors

“…4), the relations in that representation might be defined as metrical. Below, this approach is given a formal basis; it is intrinsically different from the approach of Cohen in Cohen and Kappauf [43], who implicitly introduces an ad hoc metric on the space of spectra [44]. The principled approach is to construct the inscribed parallelepiped of maximum volume.…”

Digital color imaging

“…A common manifestation of this phenomenon is the color match of (different) fabrics under one illumination and mismatch under another. The vector space view of color matching presented above was first given by Cohen and Kaupauf [35], [36], [24]. Tutorial descriptions using current notation and terminology appear in [23], [25], [37], and [38].…”

Derivation of linear transformation of tristimulus value matrices by the concept of metameric black

“…Krantz, 1975a, b (Cohen & Kappauf, 1982, 1985 For these two matrices A and A, of tristimulus values, Kappauf (1982, 1985) described the following linear relation with no theoretical explanation (5) Wyszecki and Stiles (1982) and Judd (1951) (4), we obtain (7) which means that the difference N between the colors which look alike, i.e. mutual metamers (Wyszecki & Stiles, 1982;Cohen & Kappauf, 1982, 1985, are orthogonal to the space spanned by the columns of A. That is, a radiometric function N-Na orthogonal to S(A) has no effects on metameric matching.…”

“…That is, a radiometric function N-Na orthogonal to S(A) has no effects on metameric matching. A radiometric function with no effects on metameric matching is called metameric black (Wyszecki & Stiles, 1982;Cohen & Kappauf, 1982, 1985. Whether color N matches color N1 is independent on choices of primaries, which means that the space of metameric blacks is also independent on choices of primaries.…”