Research of Properties of an Assessment of the Resolution of Grassmann's Transformation in Chromaticity Coding Systems, Applied in Avionic Equipment

I. O. Zharinov, Assistant Professor, Chef of Department, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (University ITMO); Chef of learning-scientists center, SPb Scientific Design Bureau "Electroavtomatica" n.a. P. A. Efimova, e-mail: igor_rabota@pisem.net, O. O. Zharinov, Assistant Professor, Saint-Petersburg state university of aerospace equipment

Research of properties of an assessment of the resolution of Grassmann's transformation in order to motivate a choice of metrological characteristics (resolution ability) of colorimeters, used in experiments with color displays, where coding systems of RGB and XY formats are implemented, is considered. An analytical expression, which refers to the assessment value of the resolution of Grassmann's transformation, suitable for various standards of combining of basic colors (red, green, blue) and for various systems of white balance evaluation in according to recommendations of International Commission on Illumination, is proposed. The assessment of the resolution value is obtaining through calculation of minimal value among augmentations, appearing in every coordinate on XY-chromaticity plane, when RGB code components incremented by any presumed value of Δ. Histograms of assessment values distribution, obtained by numerical calculation procedure for Δ = 1 and Δ = 5, are shown. Tables with minimal and maximal values of assessment are presented. There was established, that resolution ability of modern colorimeters can't allow proper differentiation of major part of chromaticity coordinates assessments. Set of characteristics, establishing relations between value of fraction (ranging from 0 to 100 %) of chromaticity coordinates augmentations on XY-plane, which may be correctly measured by colorimeter, out of total quantity of non-zero augmentations, with chromaticity coordinates resolution value of given colorimeter 0,0001 ≤ h ≤ 0,01, for various incrementation steps 1 ≤ Δ ≤10, separately for horizontal, vertical and diagonal augmentation values

Keywords: Grassmann's transformation, chromaticity coordinates, assessment of the resolution ability, histogram, operating characteristics of chromaticity coordinates resolution

pp. 40–47