MATLAB Code Implementation for Fractal Dimension Calculation
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Resource Overview
Calculation of fractal dimension using FFT algorithm - MATLAB Central File Exchange implementation for fractal surface analysis with spectral methods
Detailed Documentation
The method for calculating fractal dimension can be found on MATLAB Central File Exchange using FFT algorithms. This approach is specifically designed for computing the fractal dimension of fractal surfaces by employing spectral analysis techniques. The implementation utilizes Fast Fourier Transform to analyze surface roughness and patterns, converting spatial data into frequency domain representations. Key functions include power spectrum analysis and logarithmic scaling to determine the fractal dimension through slope calculation of the spectral density plot. The algorithm processes surface height data, performs 2D FFT, computes the power spectrum, and applies linear regression to extract the fractal dimension parameter that characterizes surface complexity and self-similarity properties.
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