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Dimensão de Hausdorff e algumas aplicações
(Universidade Estadual Paulista (Unesp), 2017-08-18)
Intuitivamente, um ponto tem dimensão 0, uma reta tem dimensão 1, um plano tem dimensão 2 e um cubo tem dimensão 3. Porém, na geometria fractal encontramos objetos matemáticos que possuem dimensão fracionária. Esses objetos ...
Fractal descriptors based on Fourier spectrum applied to texture analysis
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
This work proposes the development and study of a novel technique lot the generation of fractal descriptors used in texture analysis. The novel descriptors are obtained from a multiscale transform applied to the Fourier ...
Fractal descriptors based on the probability dimension: a texture analysis and classification approach
(Elsevier BVAmsterdam, 2014-06)
In this work, we propose a novel technique for obtaining descriptors of gray-level texture images. The descriptors are provided by applying a multiscale transform to the fractal dimension of the image estimated through the ...
Acercamiento al concepto de dimensión desde Euclides a Mandelbrot.
(Universidad Pedagógica NacionalLicenciatura en MatemáticasFacultad de Ciencia y Tecnología, 2006)
Este trabajo presenta una breve comparación entre la
geometría eulidea y fractal desarrolladas por Euclides y Mandelbrot
respectivamente, tomando como eje central el concepto de dimensión.
Fractal clustering as spatial variability of magnetic anomalies measurements for impending earthquakes and the thermodynamic fractal dimension
(2022)
Several studies focusing on the anomalies of one specific parameter (such as magnetic, ionospheric, radon release, temperature, geodetic, etc.) before impending earthquakes are constantly challenged because their results ...
Spatial Variability of Water Retention Curve Fractal DimensionVariabilidad Espacial de Dimensiones Fractales en Curvas de Retención de Agua
(USFQ PRESS, departamento editorial de la Universidad San Francisco de Quito USFQ, 2015)