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A Novel Correction Method of Kubelka–Munk Model for Color Prediction of Pre-colored Fiber Blends

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Abstract

In order to apply the single-constant Kubelka–Munk (KM) model to color prediction of fiber blends, a novel correction method is proposed in the paper. The single-constant KM model is based on the assumption that the ratio of absorption coefficients to scattering coefficients (K/S) of a mixture is linear to mass proportion of its components. However, when it comes to the media of pre-colored fiber blends, the linear assumption always fails, resulting in inaccurate color prediction with large color difference. To solve this problem, a novel correction method was proposed, which improved the linearity of K/S in the way of decreasing the linear deviation. Pre-colored cotton fibers were used to prepare samples to examine the proposed correction method. The average color difference values ΔEcmc (2:1) and ΔE00 of the single-constant KM model with proposed correction method are 1.37 and 1.17 respectively, which are remarkably better than those of the Kubelka–Munk model without correction (~ 8.41 and 6.35) and the Kubelka–Munk model with Saunderson correction (~ 8.63 and 6.55). The results indicate that, for the media of pre-colored fiber blends, the proposed correction method greatly improves the color prediction accuracy.

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Acknowledgements

The authors would like to acknowledge Guangdong Esquel Textile Co. LTD for providing materials.

Funding

This work was supported by Natural Science Foundation of Henan (No. 232300421384); Henan Provincial Science and Technology Research Project (No. 232102210177; No. 212102310256; No. 222102210267; No. 202102210155); Startup Foundation for Doctors of Henan University of Animal Husbandry and Economy (No. 2020HNUAHEDF022).

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Authors and Affiliations

  1. School of Packaging and Printing Engineering, Henan University of Animal Husbandry and Economy, Zhengzhou, 450046, China

    Chun‘ao Wei, Shiwei Liu & Junfeng Li

  2. College of Information Science and Technology, Nanjing Forestry University, Nanjing, 210037, China

    Dehong Xie

  3. School of Geodesy and Geomatics, Wuhan University, Wuhan, 430079, China

    Xiaoxia Wan

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  1. Chun‘ao Wei
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  2. Dehong Xie
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  3. Xiaoxia Wan
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  4. Shiwei Liu
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  5. Junfeng Li
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Correspondence to Chun‘ao Wei or Junfeng Li.

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Wei, C., Xie, D., Wan, X. et al. A Novel Correction Method of Kubelka–Munk Model for Color Prediction of Pre-colored Fiber Blends. Fibers Polym (2024). https://doi.org/10.1007/s12221-024-00559-8

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