Mathematical Discontinuities in CIEDE2000 Color Difference Computations.
作者： Edul N. Dalal , Gaurav Sharma , Wencheng Wu , Mehmet Utku Celik
DOI:
关键词: Hue 、 Bounded function 、 Continuous function 、 Mathematical analysis 、 Mathematics 、 Computation 、 Classification of discontinuities 、 Discontinuity (linguistics) 、 Taylor series 、 Color difference
摘要: We examine mathematical properties of the CIEDE2000 color difference formula and illustrate that is not a continuous function CIELAB pairs between which calculated. Particularly, we ambiguities in computation mean hue angle differences contribute to discontinuity for chosen 180-degrees apart hue. analyze characterize give visual presentation allows better appreciation its nature. For under 5 delta E units apart, maximum magnitude bounded by 0.274. further CIELAB, rises sharply. The results indicate care should be exercised using Taylor series approximations use restricted small as recommended standard.
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