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Hölder Continuous Fractal Interpolation Functions
In order to obtain new fractal interpolation functions, we employ both Rakotch contractions and Hölder continuous functions by using some suitable...
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Obstetric Ultrasound Modelling and Analysis with Fractal Interpolation Methods
This study focuses on modelling and analysis of obstetric ultrasound by using fractal interpolation. Firstly, a new way of representing ultrasounds...
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Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled composite hole wall
In this paper, an improved fractal interpolation model is proposed to reconstruct the surface topography of composite hole wall. This model adopts...
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Single-Image Super-Resolution Using Rational Fractal Interpolation and Adaptive Wiener Filtering
In this paper, we have propounded a neoteric procedure for the super-resolution of an image using a single image. An image of low resolution is given...
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Multivariate Bernstein \(\alpha \) -Fractal Functions
This article deals with novel multivariate Bernstein \(\alpha \)...
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Zipper Rational Quadratic Fractal Interpolation Functions
InJha, Sangita thisChand, A. K. B. article, we propose an interpolation method using a binary parameter called signature such that the graph of the...
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A three-dimensional fractal contact model of rough surfaces considering strain hardening
Strain hardening has a significant influence on the contact behavior of rough surfaces. In this study, an asperity contact load model accounting for...
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Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function
This chapter explores the Katugampola fractional integral of a multivariate vector-valued function defined on...
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Detection of Monogenic Disorders Using Fuzzy Fractal Analysis with Grids and Triangular Dimension
Single abnormal gene structure of disorders, specifically the alpha ( α ) and beta ( β ) thalassemia recessive disorders are focused. From the NCBI...
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A modeling method for elastic-viscous-plastic material with fractal structure and its solution
A modeling method with the fractal structure to describe the elastic-viscous-plastic properties of materials is proposed in this paper. Moreover, the...
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Meshing characteristic analysis of spur gear pair with tooth surface wear fault based on improved fractal method
The three-dimensional (3D) fractal contact model of the interaction between gear teeth is established considering the actual surface morphology of...
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Monotonicity Preserving Rational Cubic Graph-Directed Fractal Interpolation Functions
Chand, A. K. B. Reddy, K. M.The idea of graph-directed fractal interpolation function (FIF) is introduced recently to represent several dependent...
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Anisotropic 3D rough surface reconstruction model based on fractal method and its application in contact characteristics
This study proposes a novel anisotropic model based on fractal theory for three-dimensional (3D) rough surface reconstruction to improve the large...
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Nonlinear dynamics analysis of gear system considering time-varying meshing stiffness and backlash with fractal characteristics
The microscopic topography of tooth surface affects the nonlinear dynamic characteristics of the gear system. However, few studies have fully taken...
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Recurrent fuzzy fractal generated by iterated fuzzy set system with recurrent structure
The recurrent iterated function system (RIFS) is an extension of the iterated function system (IFS) whose attractor has a global self-similarity. A...
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Meshless Barycentric Rational Interpolation Method for Solving Nonlinear Stochastic Fractional Integro-Differential Equations
This article suggests an accurate computational approach based on meshless barycentric rational interpolation and spectral method to solve a class of...
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Fractal Analysis Usage Areas in Healthcare
This chapter presents a brief introduction to fractal analysis usage areas and their roles in the healthcare system. The definition of fractal, the...
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An exploration of fractal-based prognostic model and comparative analysis for second wave of COVID-19 diffusion
The coronavirus disease 2019 (COVID-19) pandemic has fatalized 216 countries across the world and has claimed the lives of millions of people...
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Numerical Simulation of Proppant Migration in Fractal Fractures during Fracturing Fluid Flowback
A particle-tracing method is proposed to investigate proppant reflux phenomena in hydraulically induced fractures at the mesoscale during fracturing...
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Multi-scale modelling of the thermally coupled planetary roller screw mechanism with curved fractal contact
Due to the complex thermal–mechanical coupling behavior caused by the multi-point contact of multiple planetary rollers and the multi-scale...
