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Fractal dimension measured over areas and perimeters using “Box Counting” technique applied over a Mandelbrot figure
1 Applied Physics Department, Facultad de Ingeniería de la Universidad Autónoma de Yucatán, Méxic
* Corresponding Author: Cesar Acosta ()
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
Accepted 07 March 2022; Issue published 17 March 2022
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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.Keywords
Box countig; Mandelbort fractal; fractal dimension; ImageJ
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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
Copyright © 2022 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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