Fractal Dimension Analysis for Particle Morphology Boundaries

This document describes a computational program designed to quantify the fractal dimension of particle morphology boundaries. The program employs image processing techniques to analyze binary bitmap images (default filename: 4.bmp), where users can modify the input filename according to their specific requirements. The core algorithm utilizes box-counting methodology, implemented through systematic grid scaling and pixel counting operations to determine the fractal dimension. This dimensional metric provides quantitative insights into particle shape complexity and structural characteristics through slope calculation in log-log plots of box size versus count. The program features straightforward execution with step-by-step processing modules including image binarization, boundary detection, and iterative box-counting routines. We anticipate this tool will facilitate advanced morphological analysis in research and experimental applications involving particulate materials.