A Geometric Brownian Motion Degradation Model for Ink Fading of Printed Images  
Author Ziyi Wang


Co-Author(s) E. A. Elsayed


Abstract Color images can be easily reproduced using digital printers. However, the vivid color of the printed images fades gradually due to the degradation and discoloration of the inks. Ink fading is a complex chemical reaction process which is affected by multiple factors, for example, the catalytic fading in ink mixture. Accurate degradation modeling and prediction of ink fading remains a topic that needs further investigation. In this paper, a geometric Brownian motion degradation model is proposed to predict the remaining ink area coverage on the printing substrate. Distribution of time to unacceptable fading and the parameters estimation of the model are investigated. We use numerical examples of ink fading and image fading to illustrate the proposed approach.


Keywords Degradation modeling and prediction, geometric Brownian motion, image permanence, ink fading
    Article #:  246
Proceedings ISSAT International Conference on Reliability and Quality in Design 2018
August 2-4, 2018 - Toronto, Ontario, Canada