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Calculation of Scalars in Neugebauer-Like Models. II: Final Scalar Function is Copula

机译:Neugebauer-Like模型中标量的计算。 II:最终标量函数是Copula

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Neugebauer-type models for reflectance factor spectra produced by halftone-based color hardcopy rely on the spectra of the so-called Neugebauer primaries, an invertible function of reflectance, and a weight, or scalar, for each Neugebauer primary. This paper discussesthe calculation of the third factor.Research has, until now, relied heavily, perhaps exclusively, on just three parameter-less sets of equations to compute these scalars. In the previous paper in this series, it was shown how the scalar for each Neugebauer primary could be computed fromthe function governing the scalar of the primary consisting of all colorants, the so-called final scalar. In this paper, conditions necessary and sufficient for a function to provide the final scalar are recited. Copulas, an entire class of functions from probability theory, also satisfy theseconditions, and therefore may be used for final scalar calculation.Halftone patterns generated by a raster image processor were used to assess potential improvement in final scalar accuracy in two-colorant dot-on-dot printing with a slight amount of misregistration. Using a copula newto this application resulted in a nearly ten-fold improvement in accuracy over the best-performing overlap models in the prior art, indicating significant increases in accuracy are to be expected with actual printed artifacts.
机译:由基于半色调的彩色硬拷贝产生的反射系数光谱的Neugebauer型模型依赖于所谓的Neugebauer原色的光谱,反射率的可逆函数以及每个Neugebauer原色的权重或标量。本文讨论了第三个因子的计算方法。到目前为止,研究仅依赖于三个无参数方程组来计算这些标量。在本系列的前一篇论文中,我们展示了如何通过控制所有着色剂组成的原色标量的函数(即最终标量)来计算每个Neugebauer原色标量。在本文中,叙述了函数提供最终标量所需的必要条件和充分条件。 Copulas是概率论中的一类完整函数,也满足这些条件,因此可以用于最终标量计算。光栅图像处理器生成的半色调图案用于评估两色点上最终标量精度的潜在改进点打印,并带有少量的套准错误。与现有技术中表现最佳的重叠模型相比,使用本申请的新型copula可以使准确性提高近十倍,这表明使用实际的打印伪像可以预期准确性的显着提高。

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