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Fractal Dimension of Color Fractal Images [PDF]

open access: possibleIEEE Transactions on Image Processing, 2011
Fractal dimension is a very useful metric for the analysis of the images with self-similar content, such as textures. For its computation there exist several approaches, the probabilistic algorithm being accepted as the most elegant approach. However, all the existing methods are defined for 1-D signals or binary images, with extension to grayscale ...
Mihai Ivanovici, Noël Richard
openaire   +2 more sources

Fractals and Reactions on Fractals [PDF]

open access: possible, 1989
Many of the structures which surround us in nature (mountains, rivers, coastlines, clouds, the vascular system and other biological structures, for example) and systems of scientific interest (aggregates, macromolecules, rough surfaces, “strange” attractors, etc.) cannot be adequately described in terms of the concepts of Euclidean geometry.
openaire   +1 more source

A FRACTAL MODEL FOR CAPILLARY FLOW THROUGH A SINGLE TORTUOUS CAPILLARY WITH ROUGHENED SURFACES IN FIBROUS POROUS MEDIA

, 2020
In this paper, a fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media is derived. The determined imbibition height and imbibition mass of capillary rise are in satisfying agreement with the ...
Boqi Xiao   +4 more
semanticscholar   +1 more source

A short review on analytical methods for a fully fourth-order nonlinear integral boundary value problem with fractal derivatives

International journal of numerical methods for heat & fluid flow, 2020
Purpose This paper aims to review some effective methods for fully fourth-order nonlinear integral boundary value problems with fractal derivatives. Design/methodology/approach Boundary value problems arise everywhere in engineering, hence two-scale ...
Ji-Huan He
semanticscholar   +1 more source

Fractals

2008
Fractals have become increasingly useful tools for the statistical modelling of financial prices. While early research assumed invariance of the return density with the time horizon, new processes have recently been developed to capture nonlinear changes in return dynamics across frequencies.
openaire   +2 more sources

Fractal: A General-Purpose Graph Pattern Mining System

SIGMOD Conference, 2019
In this paper we propose Fractal, a high performance and high productivity system for supporting distributed graph pattern mining (GPM) applications. Fractal employs a dynamic (auto-tuned) load-balancing based on a hierarchical and locality-aware work ...
Vinícius Dias   +4 more
semanticscholar   +1 more source

Fractals and Multi-fractals in Turbulence

1997
Turbulent flows refer to situations in which the flow properties at any point vary in a statistically random manner. Fourier analysis shows that wave fluctuations in a range of frequencies and wave numbers are present, the width of the range changing with certain flow parameters like the Reynolds number. (Attempts at characterizing turbulence structure
openaire   +2 more sources

Fractals and Fractal Distributions

2002
Scale invariance has attracted scientists from various disciplines since the early 1980’s. B. B. Mandelbrot has been the pioneer on this field; he introduced first ideas in the 1960’s and was the first to write a comprehensive book on scale invariance (Mandelbrot 1982). However, the idea of scale dependence and scale invariance is much older; D.
openaire   +2 more sources

Fractals and Multifractals

2004
To provide a brief introduction to fractals. To introduce the notion of fractal dimension. To provide a brief introduction to multifractals and define a multifractal formalism. To consider some very simple examples.
openaire   +2 more sources

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