21. Practical methods for calculating fractal dimensions
To calculate the dimension of a bounded simple planar curve X, Richardson (1961) and Mandelbrot's (1967) compass method consists in following this curve with a compass of aperture step equal to ε (ε > 0) and counting the number of steps n
p
(ε) taken to traverse it, then considering the following limit (if it exists)
...
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Practical methods for calculating fractal dimensions
Bibliography
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(1) - AARTS (J.M.), NISHIURA (T.) -
Dimension and extensions,
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North-Holland, 331 pages (1993).
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(2) - ALBEVERIO (S.), PRATSIOVYTYL (M.), TORBIN (G.) -
Transformations preserving the Hausdorff-Besicovitch dimension,...
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