MATLAB Program for Calculating Two-Dimensional Fractal Dimension of Images
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In this article, I will provide a detailed explanation of how to develop a MATLAB program for calculating the two-dimensional fractal dimension of images. We will explore the fundamental concept of fractals and their applications in image processing. The implementation will cover the utilization of MATLAB's built-in functions for fractal analysis, along with guidance on parameter tuning to achieve optimal results. Key algorithmic approaches include box-counting methods and differential box-counting techniques, which involve partitioning the image into various grid sizes and analyzing the pixel intensity variations. The program incorporates functions like rgb2gray for image preprocessing, imresize for multi-scale analysis, and logarithmic regression for dimension calculation. Parameter optimization focuses on adjusting grid size ranges and regression thresholds to enhance measurement accuracy for different image types.
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