Abstract
The notion of Lacunarity has been originally introduced by Mandelbrot, in a broad way, to stress the fact that fractals of the same dimension can have quite different appearance. This vague concept has been defined afterwards, in many ways, by many authors. In this paper, we want to review some of the proposed methods to study lacunarity. We also show how the gliding box method, originally proposed for lacunarity, has been adopted for the multifractal modeling and we will recover relationship between lacunarity and multifractality through the relation between gliding box method and the box counting method.KeywordsFractal DimensionTranslation InvarianceHausdorff MeasureSierpinski CarpetLebesgue DensityThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
