Modified CIELAB Uniform Color Space

Fig. 2. Hues of CIELAB and MLAB color spaces under different datasets, circle represents CIELAB, square represents MLAB. (a) Xiao dataset; (b) Hung and Berns dataset; (c) Ebner and Fairchild dataset

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Fig. 3. Hue fitting lines of CIELAB and MLAB under different datasets, solid line represents CIELAB, dashed line represents MLAB. (a) Xiao dataset; (b) Hung and Berns dataset; (c) Ebner and Fairchild dataset

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Fig. 4. BFD-RIT ellipses of CIELAB and MLAB color space. (a) CIELAB color space; (b) MLAB color space

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Fig. 5. Distribution of ratios of major to minor axis for MLAB and CIELAB color spaces

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Table 1. Related parameters for BFD-P, Leeds, RIT-DuPont, Witt and COM-corrected datasets

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Table 1. Related parameters for BFD-P, Leeds, RIT-DuPont, Witt and COM-corrected datasets

Dataset	Number ofpairs	Mean (Δ $E_{ab}^{*}$ )	Weightingcoefficient	Light source	Material
BFD-P	2776	3.0	1	Three reference whites close to D65	Various
Leeds	307	1.6	9	D65	Matt paint
RIT-DuPont	312	1.4	9	Color temperature of 6100 K	Gloss paint
Witt	418	1.9	7	D65	Gloss paint
COM-corrected	11273			All above	All above

Table 2. Parameters of conversion formula for optimized MLAB color space
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Table 2. Parameters of conversion formula for optimized MLAB color space
Parameter p₁ p₂ p₃ p₄
Value 14.4000 311.5000 111.0000 0.3684

Table 3. Performance of CIELAB and MLAB color spaces on different datasets

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Table 3. Performance of CIELAB and MLAB color spaces on different datasets

Indicator	BFD-P	Leeds	RIT-DuPont	Witt	COM-corrected
S_{STRESS_LAB}	42.5	40.1	33.4	51.7	43.9
S_{STRESS_MLAB}	40.9	37.9	27.9	45.9	40.6
R	0.926	0.893	0.698	0.788	0.855
[F_c,1/F_c]	[0.928,1.077]	[0.799,1.252]	[0.800,1.249]	[0.825,1.212]	[0.964,1.038]
S_{STRESS_DE2000}	29.6	19.2	19.5	30.2	27.5

Table 4. S_SD and D_o for CIELAB and MLAB color spaces under different datasets
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Table 4. S_SD and D_o for CIELAB and MLAB color spaces under different datasets
Color space Xiao dataset Hung and Berns dataset Ebner and Fairchild dataset
S_SD D_o S_SD D_o S_SD D_o
CIELAB 2.6 2.2 3.8 4.4 3.6 3.3
MLAB 2.8 1.5 3.8 3.2 3.7 2.4

Table 5. Performance of LU and GU for CIELAB and MLAB color spaces
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Table 5. Performance of LU and GU for CIELAB and MLAB color spaces
Color space U_LU U_GU
CIELAB 39.5 60.7
MLAB 39.5 59.6