Fractal Dimension Calculation Methods and Their Use in the Textile Industry

Abstract

From the methods of calculating the fractal dimension, the prism method, the cube method, the method of counting cells, instructions on the methods of calculating the fractal dimension using set theory and the block diagrams of algorithms were developed. A software tool was created based on the Hausdorff method of calculating the fractal dimension. Fractal measurement determined by this software can be used in medicine for changes in the vascular system, in the accurate diagnosis of tumors in the brain, in the textile industry, in the textural analysis of the permeability and roughness of fabrics.