Abstract:

In order to describe the cotton linear density perfectly, 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 character 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.

Key words: cotton fiber, linear density distribution, window function, simulation