Results 11 to 20 of about 232,194 (228)
MULTIVARIATE AFFINE FRACTAL INTERPOLATION [PDF]
Fractals, 2020 Fractal interpolation functions capture the irregularity of some data very effectively in comparison with the classical interpolants. They yield a new technique for fitting experimental data sampled from real world signals, which are usually difficult to represent using the classical approaches.
Navascués, M.A. +2 more
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On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces
Axioms, 2020 In this article, firstly, an overview of affine fractal interpolation functions using a suitable iterated function system is presented and, secondly, the construction of Bernstein affine fractal interpolation functions in two and three dimensions is ...
Nallapu Vijender, Vasileios Drakopoulos
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Fractal Interpolation Using Harmonic Functions on the Koch Curve
Fractal and Fractional, 2021 The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri +2 more
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Fractal Interpolation Over Nonlinear Partitions
SSRN Electronic Journal, 2022 This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation. In this context, perturbations of nonlinear partition functions are considered and sufficient conditions for the ...
Massopust, Peter R., Peter R. Massopust
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An analysis of COVID-19 spread based on fractal interpolation and fractal dimension [PDF]
Chaos, Solitons and Fractals, 2020 Cristina Maria Păcurar +1 more
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Graph-directed fractal interpolation functions [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2017 14 ...
Deniz, Ali, Özdemir, Yunus
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Local Fractal Interpolation on Unbounded Domains [PDF]
Proceedings of the Edinburgh Mathematical Society, 2018 AbstractWe 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 Bochner–Lebesgue ...
Peter R. Massopust
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Fractal interpolation-based micro-surface reconstruction method for composite pore walls
Xibei Gongye Daxue Xuebao, 2023 The pore wall morphology of carbon fiber reinforced composite (CFRP) laminates is one of the key factors to determine their service performance. However, due to the direction angle of the material fibers, the original micro surface morphology of the pore
HU Wenlong +4 more
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Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces
Mathematical and Computational Applications, 2023 A class of zipper fractal functions is more versatile than corresponding classes of traditional and fractal interpolants due to a binary vector called a signature.
Vijay, Arya Kumar Bedabrata Chand
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Soil parameters in terms of entropy coordinates [PDF]
E3S Web of Conferences, 2023 In the ongoing research, an approximate, grading entropy based, advanced interpolation method is applied to establish empirical functions between the grading curves and the model parameters of sands. The space of the grain size distribution curves with N
Imre Emőke +6 more
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