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Distributions of Paramers and Paramer Mismatch Gamuts

机译:参数和参数不匹配域的分布

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Many coloration applications require the match of a ref-erence color under specific viewing and illuminating conditions (primary conditions). Such so called metameric matches are, however, unlikely in practice due to various noise sources in most production processes. As a result the match is not perfect and the real colors are rather grouped around the reference color. In this paper we investigate such so called parameric colors under the assumption that they follow a normal distribution with the refer-ence color as expectation value. We analyze corresponding dis-tributions of parameric reflectances and calculate the distribution of colors if the viewing and illuminating conditions change (sec-ondary conditions). A paramer mismatch gamut can be defined by the 95% boundary ellipsoid of this distribution. Based on this definition a formula is proposed to calculate its volume in terms of CIELAB unit. In the experiments we compare the volumes of 95% boundary ellipsoids for primary and secondary conditions and analyze the properties of a mismatch quantity that is defined as the ratio of these volumes.
机译:许多着色应用需要在特定观看和照明条件下(主要条件)下REF-WERENCE颜色的匹配。然而,由于大多数生产过程中的各种噪声源,因此,由于各种噪声源在实践中不太可能。因此,匹配并不完美,并且真实颜色相当围绕参考颜色进行分组。在本文中,我们在假设中调查了所谓的参数颜色,使它们遵循正常分布,即通过参考颜色作为期望值。我们分析了参数反射的相应分歧,如果观看和照明条件发生变化(秒的条件),则计算颜色的分布。参数不匹配范围可以由该分布的95%边界椭球定义。基于该定义,提出了在CIELAB单元方面计算其体积的公式。在实验中,我们比较初级和次要条件的95%边界椭球的体积,并分析不匹配量的性质定义为这些体积的比率。

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