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Calculation method of a random beard fibrogram based on the derived Kubelka–Munk theory

DOI:10.1177/0040517518790969 期刊:Textile Research Journal 出版年份:2018 更新时间:2025-09-23 15:23:52
摘要: The random beard image method is a newly developed fiber length measurement method with the advantages of speed, reliability and low cost. This paper proposed the methods of acquiring an accurate and stable fibrogram from the transmission image with the random beard image method based on the derived Kubelka–Munk theory. In the dual-beard preparation process, the optical properties of the short fiber region in the beard were changed by the napping effect. To solve this problem, an imitating experiment with five types of wool fibers was designed to obtain the optical coefficient of the maximum value of the fibrograms of 1.03. To eliminate the random error of the sample, the symmetry principle was adopted to determine the start line of the dual-fibrogram, and the weighted smoothing average fibrogram from two dual-beards is used as the final fibrogram. In addition, upon testing 20 types of wool fiber samples by the random beard image method and the international standard instrument Almeter100, the waviness coefficient of 1.10 was determined. A Z-test and Bland–Altman plot were also applied to verify the accuracy and repeatability of the random beard image method. The results show that under the significance level a ? 0.05, the accuracy and the repeatability of the two methods are at the same level. This method sets the foundation for measuring the fiber length distribution parameters, especially the short fiber content.
作者: Meiqin Wu,Jingye Jin,Jin Zhang,Fumei Wang
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To propose methods for acquiring an accurate and stable fibrogram from the transmission image using the random beard image method based on the derived Kubelka–Munk theory, addressing issues like the napping effect and random errors in fiber length measurement.

The random beard image method, based on the derived Kubelka–Munk theory, provides accurate and stable fibrograms for wool fiber length measurement. It shows comparable accuracy and repeatability to the Almeter 100 standard, with advantages of being portable, low-cost, and fast. It sets a foundation for measuring fiber length distribution parameters and has potential applications in the spinning industry and fiber trade.

The method may be affected by drafting waves in wool tops and mechanical errors in beard preparation. The optical properties in the short fiber region are altered by clamping, requiring empirical coefficients. Further validation is needed for other fiber types like cotton.

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