A hybrid of fractal image coding and fractal dimension for an efficient retrieval method

Al-Saidi, Nadia M. G.; Al-Bundi, Shaimaa S.; Al-Jawari, Neseif J.

doi:10.1007/s40314-016-0378-9

Cited by 15 publications

(12 citation statements)

References 20 publications

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“…Yang et al formulated what is called "the cantor fractal" in the logical modifications of the definitions to the subject of local derivatives on fractals. Different studies and applications are indicated in the literature [7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Design Enhancing Medical Images Formulated by a Fractal Flame Operator

Ibrahim¹,

Abdul-Wahed²,

Mohammed³

et al. 2022

Intelligent Automation &Amp; Soft Computing

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Section: Introductionmentioning

confidence: 99%

Mathematical Design Enhancing Medical Images Formulated by a Fractal Flame Operator

Ibrahim¹,

Abdul-Wahed²,

Mohammed³

et al. 2022

Intelligent Automation &Amp; Soft Computing

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“…Because of its suitable computational performance and accuracy, there are restricted search in the field of fluid flow and heat transfer in absorbent media such as thermal sinks but the usage of this method is common in numerous other problems [11]. In this place, by utilizing SAS, flow and heat transfer of nanofluid have been examined in various geometries such as flow between two flat platters in revolving system, among clutching platters [12] and among parallel platters in the incidence of a magnetic field in view of thermal radiation properties [13,14]. Liu et al [15] for special forms of shape presented the chaotic of nanofluid, for the first time.…”

Section: Introductionmentioning

confidence: 99%

Similarity Analytic Solutions of a 3D-Fractal Nanofluid Uncoupled System Optimized by a Fractal Symmetric Tangent Function

Ibrahim¹,

Ajaj²,

Al-Saidi³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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The science of strategy (game theory) is known as the optimal decision-making of autonomous and challenging players in a strategic background. There are different strategies to complete the optimal decision. One of these strategies is the similarity technique. Similarity technique is a generalization of the symmetric strategy, which depends only on the other approaches employed, which can be formulated by altering diversities. One of these methods is the fractal theory. In this investigation, we present a new method studying the similarity analytic solution (SAS) of a 3D-fractal nanofluid system (FNFS). The dynamic evolution is completely given by the concept of differential subordination and majorization. Subordination and majorization relationships are the sets of observable individualities. Game theory can simplify the conditions under which particular sets combine. We offer an explicit construction for the complex possible velocity, energy and thermal functions of two-dimensional fluid flow (the complex variable is suggested in the open unit disk, where the disk is selected at a constant temperature and concentration with uniform velocity). We establish that whenever the 3D-fractal nanofluid system is approximated by a fractal function, the solution has the same property, so a class of fractal tangent function gives SAS. Finally, we demonstrate some simulations and examples that give the consequences of this methodology.

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“…As it's known, a fractal is the attractor of the IFS. Interesting results in this field are found, for example, in [1,2,3,4,5]. (IFS) is developed by Hutchison (1981) [6], and Barnsley and others (1985Barnsley and others ( , 1986Barnsley and others ( , 1988 [2,7,8].…”

Section: Introductionmentioning

confidence: 99%

Iterated function system in ∅- Metric Spaces

Al-Bundi

2022

bspm

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Fractals have gained great attention from researchers due to their wide applications in engineering and applied sciences. Especially, in several topics of applied sciences, the iterated function systems theory has important roles. As is well known, examples of fractals are derived from the fixed point theory for suitable operators in spaces with complete or compact structures. In this article, a new generalization of Hausdorff distance on , is a class of all nonempty compact subsets of the metric space ( , ). Completeness and compactness of are analogously obtained from its counterparts of ( , ). Furthermore, a fractal is presented under a finite set of generalized -contraction mappings. Also, other special cases are presented.

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A hybrid of fractal image coding and fractal dimension for an efficient retrieval method

Cited by 15 publications

References 20 publications

Mathematical Design Enhancing Medical Images Formulated by a Fractal Flame Operator

Mathematical Design Enhancing Medical Images Formulated by a Fractal Flame Operator

Similarity Analytic Solutions of a 3D-Fractal Nanofluid Uncoupled System Optimized by a Fractal Symmetric Tangent Function

Iterated function system in ∅- Metric Spaces

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