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Color Degradation of Printed Images
IEEE Transactions on Reliability ( IF 5.9 ) Pub Date : 2020-06-01 , DOI: 10.1109/tr.2019.2945901
Ziyi Wang , Elsayed A. Elsayed

Numerous color images are digitally reproduced today, mainly using the cyan, magenta, yellow and black ink set. The information in a printed image, however, may be distorted or lost due to the image's gradual color degradation as the result of ink fading and diffusion on the substrate. The degradation behavior of the inks can be difficult to predict when catalytic fading is introduced by a variety of ink mixtures produced in the printing process. In this article, we prove that the fading or diffusion rate has an equivalent interpretation as the hazard function in reliability modeling, and the degradation model of printed images with constant fading and diffusion rates can be reformulated as a Markov process model. Hence, the degradation of printed images with time-varying fading and diffusion rates can be modeled as a semi-Markov process. The semi-Markov process model provides a deterministic degradation prediction. We further propose a spatio-temporal Wiener process model for stochastic prediction of the ink fading and diffusion of printed images. Numerical examples and a real-life case study are provided to illustrate the proposed approach.

中文翻译:

印刷图像的颜色退化

今天,许多彩色图像都以数字方式复制,主要使用青色、品红色、黄色和黑色墨水组。然而,印刷图像中的信息可能会由于油墨褪色和在基材上扩散导致图像逐渐颜色退化而失真或丢失。当印刷过程中产生的各种油墨混合物引入催化褪色时,油墨的降解行为可能难以预测。在本文中,我们证明了褪色或扩散率与可靠性建模中的风险函数具有等效的解释,并且具有恒定褪色和扩散率的印刷图像的退化模型可以重新表述为马尔可夫过程模型。因此,具有随时间变化的褪色和扩散率的印刷图像的退化可以建模为半马尔可夫过程。半马尔可夫过程模型提供了确定性的退化预测。我们进一步提出了一种时空维纳过程模型,用于随机预测印刷图像的墨水褪色和扩散。提供了数值示例和现实案例研究来说明所提出的方法。
更新日期:2020-06-01
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