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. Author manuscript; available in PMC: 2007 Oct 22.
Published in final edited form as: J Opt Soc Am A Opt Image Sci Vis. 2006 Oct;23(10):2359–2372. doi: 10.1364/josaa.23.002359

Table 2.

Relative frequencies and conditional relative frequencies of metameric pairs of surfaces in natural scenes, calculated with color-difference formula CIEDE2000,3, 27 adaptation model CMCCAT2000,24 and nominal discrimination threshold ΔEthr = 0.5a

Criterion degree of metamerism na
Illuminants Scene Estimate 0 1 2 3 4
25,000 K–4000 K vegetated unconditional −3.58 −3.77 −4.16 −4.56 −4.95
(0.42) (0.34) (0.36) (0.43) (0.50)
conditional −0.19 −0.59 −0.99 −1.37
(0.14) (0.28) (0.45) (0.60)

nonvegetated unconditional −3.43 −3.71 −4.32 −4.80 −5.29
(0.40) (0.33) (0.31) (0.41) (0.55)
conditional −0.28 −0.88 −1.37 −1.82
(0.13) (0.40) (0.56) (0.64)

4000 K–6500 K vegetated unconditional −3.57 −3.91 −4.81 −5.78 −6.32
(0.45) (0.42) (0.47) (0.81) (0.81)
conditional −0.34 −1.24 −2.11 −2.65
(0.12) (0.48) (0.86) (0.96)

nonvegetated unconditional −3.39 −3.85 −5.02 −5.98 −6.63
(0.41) (0.37) (0.52) (0.74) (0.60)
conditional −0.45 −1.63 −2.51 −3.13
(0.16) (0.66) (0.83) (0.69)

25,000 K–6500 K vegetated unconditional −3.58 −3.91 −4.67 −5.36 −6.06
(0.42) (0.34) (0.45) (0.61) (0.85)
conditional −0.34 −1.09 −1.80 −2.35
(0.17) (0.46) (0.75) (0.95)

nonvegetated unconditional −3.43 −3.90 −5.01 −5.92 −6.48
(0.40) (0.32) (0.55) (0.74) (0.62)
conditional −0.47 −1.55 −2.41 −2.97
(0.16) (0.59) (0.85) (0.77)
a

Entries show means (SDs) of log10 relative frequency over 29 predominantly vegetated scenes and 21 predominantly nonvegetated scenes under successive daylight illuminants labeled by correlated color temperature. Number of pairs of surfaces sampled in each scene was 4,498,500. Entries for n = 0 are for pairs of surfaces with subthreshold color differences, i.e., ΔE < ΔEthr, under the first illuminant and any color difference under the second illuminant; those for n = 1, …, 4 are for pairs of surfaces with ΔE < ΔEthr under the first illuminant and suprathreshold color differences under the second illuminant, i.e., ΔE ≥ ΔEthr, ΔE ≥ 2ΔEthr, ΔE ≥ 3ΔEthr, ΔE ≥ 4ΔEthr, respectively. Conditional relative frequencies are not defined for n = 0. The observer was the CIE 1964 standard observer.3