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Fractal dimension measured over areas and perimeters using “Box Counting” technique applied over a Mandelbrot figure

Cesar Acosta1, F. Peñuñuri1, O. Carvente1

1 Applied Physics Department, Facultad de Ingeniería de la Universidad Autónoma de Yucatán, Méxic

* Corresponding Author: Cesar Acosta (email)

Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 2022, 38(1), 1-11. https://doi.org/10.23967/j.rimni.2022.03.007

Abstract

Measuring fractal dimension in general is made over edges of a figure, however this kind of calculations could be made over a 1D, 2D or even a 3D images. With the FracLac plugin of ImageJ application, it has been possible to measure both dimensions, over the area and over the edge of a Mandelbrot fractal, using the Box Counting technique.

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APA Style
Acosta, C., Peñuñuri, F., Carvente, O. (2022). Fractal dimension measured over areas and perimeters using “box counting” technique applied over a mandelbrot figure. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, 38(1), 1-11. https://doi.org/10.23967/j.rimni.2022.03.007
Vancouver Style
Acosta C, Peñuñuri F, Carvente O. Fractal dimension measured over areas and perimeters using “box counting” technique applied over a mandelbrot figure. Rev int métodos numér cálc diseño ing. 2022;38(1):1-11 https://doi.org/10.23967/j.rimni.2022.03.007
IEEE Style
C. Acosta, F. Peñuñuri, and O. Carvente "Fractal dimension measured over areas and perimeters using “Box Counting” technique applied over a Mandelbrot figure," Rev. int. métodos numér. cálc. diseño ing., vol. 38, no. 1, pp. 1-11. 2022. https://doi.org/10.23967/j.rimni.2022.03.007



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