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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 207, Number 3, Pages 333–346
DOI: https://doi.org/10.4213/tmf10041 (Mi tmf10041) 		 
Univariable affine fractal interpolation functions

V. Drakopoulosa, N. Vijenderb

a Department of Computer Science and Biomedical Informatics, University of Thessaly, Lamia, Greece
b Department Mathematics, Visvesvaraya National Institute of Technology, Nagpur, India
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DOI: https://doi.org/10.4213/tmf10041
Abstract: An overview of affine fractal interpolation functions using a suitable iterated function system is presented. Furthermore, a brief and coarse discussion on the theory of affine fractal interpolation functions in 2D and their recent developments including some of the research done by the authors is provided. Moreover, the desired range of the contractivity factors of an affine fractal interpolation surface are identified such that it is monotonic and positive for the respective monotonic and positive surface data. All the shape-preserving fractal schemes developed here are verified by numerical experiments.
Keywords: attractor, dynamic system, fractal interpolation, iterated function system.
Received: 22.12.2020
Revised: 03.03.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 207, Issue 3, Pages 689–700
DOI: https://doi.org/10.1134/S0040577921060015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. Drakopoulos, N. Vijender, “Univariable affine fractal interpolation functions”, TMF, 207:3 (2021), 333–346; Theoret. and Math. Phys., 207:3 (2021), 689–700
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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