Fractal dimension and multifractal spectra of the surface shape of textile patterns

The main purpose of this research is to use the fractal dimension and multifractal spectra to analyze the characteristics of the surface shape of textile patterns. First a brief description of the Fractal Theory is given, and then the characteristics of the surface shape of textile patterns are analyzed. Based on Box-counting method, an algorithm is derived to calculate the fractal dimension and multifractal spectra of the surface shape of textile patterns. Then, a computing program of the fractal dimension and multifractal spectra is developed with the help of MATLAB. Through this program, the surface shape of textile patterns is described. The results of this paper include a mathematical model to describe the observation of fractal and multifractal characteristics in the surface shape of textile patterns.