MATLAB Program for Calculating Differential Box-Counting Dimension

This MATLAB program is designed to compute the differential box-counting dimension, a method commonly used for fractal analysis of images. The current implementation requires input images to have dimensions of NxN where N must be a power of 2 (N=2^n). This constraint arises from the algorithm's recursive partitioning approach that divides the image into progressively smaller boxes. Key implementation features include: - Box-counting algorithm with multi-scale analysis - Logarithmic regression for dimension calculation - Matrix operations optimized for power-of-two dimensions If you need to process images with different dimensions, you'll need to modify the program's preprocessing section, potentially adding resizing or padding functionality. For algorithm clarification or implementation details, refer to MATLAB's official documentation or seek assistance from MATLAB community forums. The program provides a foundational framework that can be extended with additional features such as: - Detailed computational statistics output - Visualization of fractal analysis results - Customizable scaling parameters - Batch processing capabilities You can enhance the code by incorporating error handling, supporting various image formats, or adding parallel processing for large datasets. The modular structure allows straightforward customization to meet specific research requirements.