Generalized Bivariate Hermite Fractal Interpolation Function Article Swipe
Sangita Jha
,
A. K. B. Chand
,
M. A. Navascués
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1134/s1995423921020014
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1134/s1995423921020014
Fractal interpolation provides an efficient way to describe a smooth or non-smooth structure associated with nature and scientific data. The aim of this paper is to introduce a bivariate Hermite fractal interpolation formula that generalizes the classical Hermite interpolation formula for two variables. It is shown here that the proposed Hermite fractal interpolation function and its derivatives of all orders are good approximations of original function even if the partial derivatives of original function are non-smooth in nature. © 2021, Pleiades Publishing, Ltd.
Related Topics
Concepts
Hermite interpolation
Mathematics
Interpolation (computer graphics)
Cubic Hermite spline
Monotone cubic interpolation
Hermite polynomials
Fractal
Birkhoff interpolation
Bivariate analysis
Applied mathematics
Nearest-neighbor interpolation
Mathematical analysis
Function (biology)
Multivariate interpolation
Bilinear interpolation
Image (mathematics)
Computer science
Statistics
Artificial intelligence
Evolutionary biology
Biology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1134/s1995423921020014
- OA Status
- green
- Cited By
- 3
- References
- 25
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3183204398
All OpenAlex metadata
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https://openalex.org/W3183204398Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1134/s1995423921020014Digital Object Identifier
- Title
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Generalized Bivariate Hermite Fractal Interpolation FunctionWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-04-01Full publication date if available
- Authors
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Sangita Jha, A. K. B. Chand, M. A. NavascuésList of authors in order
- Landing page
-
https://doi.org/10.1134/s1995423921020014Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://zaguan.unizar.es/record/118139/files/texto_completo.pdfDirect OA link when available
- Concepts
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Hermite interpolation, Mathematics, Interpolation (computer graphics), Cubic Hermite spline, Monotone cubic interpolation, Hermite polynomials, Fractal, Birkhoff interpolation, Bivariate analysis, Applied mathematics, Nearest-neighbor interpolation, Mathematical analysis, Function (biology), Multivariate interpolation, Bilinear interpolation, Image (mathematics), Computer science, Statistics, Artificial intelligence, Evolutionary biology, BiologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
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2023: 1, 2021: 2Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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