Fractal Dimension Calculation Using the Blanket Algorithm with MATLAB Implementation
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This article presents MATLAB implementation of the blanket algorithm for fractal dimension calculation. The blanket algorithm serves as a widely-adopted method for fractal dimension computation, favored for its straightforward implementation approach involving iterative coverage of the fractal surface with blankets of varying thickness. The MATLAB code demonstrates how to calculate the surface area at different scales and derive the fractal dimension through logarithmic regression. For researchers interested in blanket algorithms and fractal dimension methodologies, this implementation provides a foundation for further exploration and custom adaptations. The article also references additional valuable insights worth deeper investigation, including optimization techniques for handling large datasets and comparisons with alternative fractal dimension calculation methods like box-counting and differential box-counting approaches.
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