2024 Fractal interpolation

Fractal interpolation

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August undefined, 2024

WebSep 1, 2024 · Fractal interpolation function defined with the aid of iterated function system can be employed to show that any continuous real-valued function defined on a compact interval is a special case of a class of fractal functions (self-referential functions). Elements of the iterated function system can be selected appropriately so that the ... Web3. Fractal Interpolation in Banach Spaces and Algebras. In this section, we give very general conditions for the existence of a fractal curve with values on a Banach space. We use the term “curve” in a wide sense, representing any map , where I is a real interval and is a real Banach space or algebra.

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WebApr 1, 1989 · The calculus of deterministic fractal functions is introduced. Fractal interpolation functions can be explicitly indefinitely integrated any number of times, … WebJan 23, 2024 · We define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some properties of these local fractal functions, consider their tensor products, and give conditions for local fractal functions on unbounded domains to be elements of … show idea names

Applied Sciences Free Full-Text Spatial Interpolation of GNSS ...

WebApr 12, 2024 · This paper presents a novel single-image super-resolution (SR) procedure, which upscales a given low-resolution (LR) input image to a high-resolution image while preserving the textural and structural information. First, we construct a new type of bivariate rational fractal interpolation model and investigate its analytical properties. This model … WebMar 17, 2024 · In multiquadratic radial basis function (MQ-RBF) interpolation, shape parameters have a direct effect on the interpolation accuracy. The paper presents an MQ-RBF interpolation technique with optimized shape parameters for estimating the parameters of sine wave signals. At first, we assessed the impact of basic sinusoidal … WebSep 20, 2024 · Fractal interpolation is a modern technique to fit and analyze scientific data. We develop a new class of fractal interpolation … show idea

Curve Fitting by Fractal Interpolation SpringerLink

A fractal interpolation approach to improve neural network …

WebMay 10, 2014 · Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines ... WebJul 16, 2024 · A Countable Fractal Interpolation Scheme Involving Rakotch Contractions. The main result of this paper states that for a given countable system of data \varDelta , there exists a countable iterated function system consisting of Rakotch contractions, such that its attractor is the graph of a fractal interpolation function … show idea submissionsWebFractal interpolation: a sequential approach. Applied Mathematics-A Journal of Chinese Universities, 2024. María Navascués. Download Download PDF. Full PDF Package Download Full PDF Package. This Paper. A short summary of this paper. 37 Full PDFs related to this paper. Read Paper. Download Download PDF. show idaho falls on a map

"WebJan 1, 2005 · Fractal interpolation functions can be explicitly indefinitely integrated any number of times, yielding a hierarchy of successively smoother interpolation functions … " - Fractal interpolation

Fractal interpolation

WebOn the base of multi-parameter iterated function system,a class of multi-parameter iterated function system is constructed in three-dimensional space.The uniq WebApr 14, 2024 · As far as the knowledge of the seabed is concerned, both for safe navigation and for scientific research, 3D models, particularly digital bathymetric models (DBMs), are nowadays of fundamental importance. This work aimed to evaluate the quality of DBMs according to the interpolation methods applied to obtain grid format 3D surfaces from …

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WebJun 11, 2024 · Exploring the spatial distribution of the multi-fractal scaling behaviours in atmospheric CO2 concentration time series is useful for understanding the dynamic mechanisms of carbon emission and absorption. In this work, we utilise a well-established multi-fractal detrended fluctuation analysis to examine the multi-fractal scaling … WebNov 4, 2024 · The Continuity and the Uniform Continuity of Fractal Interpolation Function. Theorem 1. Let function be a FIF generated by IFS mentioned in Definition 4 and defined by affine mapping referred from equations ( 3 )– ( 14) and Lemmas 3 and 4. Then, the FIF is continuous on the closed interval on the closed interval .

WebFractal dimension (fd) is a feature which is widely used to characterize medical images. Previously, researchers have shown that fd separates important classes of images and … WebApr 27, 2024 · A fractal interpolation function can be considered as a continuous function whose graph is the attractor, a fractal set, of an …

WebSep 8, 2024 · Fractal interpolation is a relatively recent domain in the field of interpolation and approximation, and has received considerable attention in the last decades. Preliminary work in this domain, put forward by Barnsley [ 4 ], focused primarily on the construction of a univariate continuous function whose graph is a fractal set (self-referential ...

WebOct 1, 2007 · Fractal interpolation, which is based upon self-similar or fractal functions, is popular with some programmers because the technique prevents excessive smoothing of image details and appears to provide additional detail at large zoom factors. Others have developed hybrid approaches by combining wavelets with fractals.

WebIn this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass … show ident_convertWebFeb 3, 2024 · This paper provides an explicit representation for the Fourier transform of different kinds of fractal interpolation functions. The construction of fractal functions using the theme of iterated function system has merely provided the functional equation. The Fourier series over the fractal functions is explored in the literary analysis to provide an … show icons taskbarhttp://connor-johnson.com/2014/03/18/fractal-interpolation/ show ideenWebIn contrast to this, in the context of fractal interpolation, the interrelation between interpolation and approximation is subtle, and this duality is … show idpromWebGlobal Navigation Satellite System (GNSS) signals arrive at the Earth in a nonlinear and slightly curved way due to the refraction effect caused by the troposphere. The troposphere delay of the GNSS signal consists of hydrostatic and wet parts. In particular, tropospheric wet delay prediction and interpolation are more difficult than those of the dry component … show ideas for kidsWebNov 7, 2024 · Nowadays, one of the most active areas of research in the field of fractal analysis is the fractal interpolation functions (FIFs). The conception of fractal interpolation function has been introduced by Barnsley as a mapping whose graph is an attractor of an iterated function system (IFS) [1, 2].In contrast to the classical … show iden files and folder in windowsWebJan 23, 2024 · We define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some … show identification