Chun‘ao Wei, Dehong Xie, Xiaoxia Wan, Shiwei Liu, Junfeng Li
{"title":"A Novel Correction Method of Kubelka–Munk Model for Color Prediction of Pre-colored Fiber Blends","authors":"Chun‘ao Wei, Dehong Xie, Xiaoxia Wan, Shiwei Liu, Junfeng Li","doi":"10.1007/s12221-024-00559-8","DOIUrl":null,"url":null,"abstract":"<div><p>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 (<i>K/S</i>) 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 <i>K/S</i> 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 <i>ΔE</i><sub><i>cmc</i></sub> (2:1) and <i>ΔE</i><sub>00</sub> 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.</p></div>","PeriodicalId":557,"journal":{"name":"Fibers and Polymers","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fibers and Polymers","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s12221-024-00559-8","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, TEXTILES","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍:
-Chemistry of Fiber Materials, Polymer Reactions and Synthesis-
Physical Properties of Fibers, Polymer Blends and Composites-
Fiber Spinning and Textile Processing, Polymer Physics, Morphology-
Colorants and Dyeing, Polymer Analysis and Characterization-
Chemical Aftertreatment of Textiles, Polymer Processing and Rheology-
Textile and Apparel Science, Functional Polymers