采用窗函数的棉纤维线密度分布表征  

Characterization of cotton linear density distribution using window function

作　　者：苏玉恒[1] 孔繁荣[1] 

机构地区：[1]河南工程学院纺织新产品开发河南省工程实验室,河南郑州450007

出　　处：《纺织学报》2017年第1期46-51,共6页Journal of Textile Research

摘　　要：为完整表征棉纤维的线密度分布,在引入表达棉纤维纵向几何形态的窗函数的基础上,推导出棉纤维线密度分布的密度函数表达式。对选用的5种籽棉试样进行去籽和碱处理后,采用显微镜摄影和图像处理的方法获得棉纤维直径沿长度方向的变化数据,运用最小二乘法拟合出了不同棉纤维试样的窗函数。在规定以棉纤维中点为特定标记位的情况下,利用测试获得的标记位直径数据拟合了纤维间直径的分布密度函数,从而构建了完整表征棉纤维线密度的分布密度函数。结果表明,棉纤维的窗函数为不对称的二次多项式,而纤维间的直径变化则服从正态分布,经对所获得的分布函数期望的计算和数值模拟,在合理修正的基础上,与实测数据有较高的一致性。In order to describe the cotton linear density completely, the function of linear density distribution was derived based on the window function expressing longitudinal geometry of cotton. After deseeding and alkali treating, diameter variations along length of five cotton samples were tested by photomicrography and image processing and the window functions of five samples were fitted by least square method using the test data. Marking the midpoint of fiber as the specific point, the distribution density function which could characterize the cotton linear density completely was fitted according to the diameter data of specific point. The results show that the window function of cotton approaches to asymmetrical quadratic polynomial, the diameter variation of fibers is normal distribution, and the linear density of cotton simulated and tested has high consistency based on calculating expectation of functions and reasonable correcting.

关 键 词：棉纤维 线密度分布 窗函数 模拟 

分 类 号：TS102.2[轻工技术与工程—纺织工程]