Introduction to Lacunarity
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Description: Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.
Lacunarity is a counterpart to the fractal dimension that describes the texture of a fractal. It has to do with the size distribution of the holes. Roughly speaking, if a fractal has large gaps or holes, it has high lacunarity; on the other hand, if a fractal is almost translationally invariant, it has low lacunarity. Different fractals can be constructed that have the same dimension but that look widely different because they have different lacunarity. There are applications of lacunarity in image processing, ecology, medicine, and other fields.
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