TOWARDS A MORE GENERAL TYPE OF UNIVARIATE CONSTRAINED INTERPOLATION WITH FRACTAL SPLINES Article Swipe
A. K. B. Chand
,
P. Viswanathan
,
K. M. Reddy
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1142/s0218348x15500401
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1142/s0218348x15500401
Recently, in [Electron. Trans. Numer. Anal. 41 (2014) 420–442] authors introduced a new class of rational cubic fractal interpolation functions with linear denominators via fractal perturbation of traditional nonrecursive rational cubic splines and investigated their basic shape preserving properties. The main goal of the current paper is to embark on univariate constrained fractal interpolation that is more general than what was considered so far. To this end, we propose some strategies for selecting the parameters of the rational fractal spline so that the interpolating curves lie strictly above or below a prescribed linear or a quadratic spline function. Approximation property of the proposed rational cubic fractal spine is broached by using the Peano kernel theorem as an interlude. The paper also provides an illustration of background theory, veined by examples.
Related Topics
Concepts
Mathematics
Fractal
Spline interpolation
Interpolation (computer graphics)
Univariate
Peano axioms
Applied mathematics
Spline (mechanical)
Quadratic equation
Monotone cubic interpolation
Mathematical analysis
Pure mathematics
Nearest-neighbor interpolation
Discrete mathematics
Geometry
Multivariate statistics
Bilinear interpolation
Computer science
Artificial intelligence
Statistics
Structural engineering
Engineering
Motion (physics)
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1142/s0218348x15500401
- OA Status
- green
- Cited By
- 16
- References
- 32
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2148205335
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W2148205335Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1142/s0218348x15500401Digital Object Identifier
- Title
-
TOWARDS A MORE GENERAL TYPE OF UNIVARIATE CONSTRAINED INTERPOLATION WITH FRACTAL SPLINESWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2015Year of publication
- Publication date
-
2015-10-01Full publication date if available
- Authors
-
A. K. B. Chand, P. Viswanathan, K. M. ReddyList of authors in order
- Landing page
-
https://doi.org/10.1142/s0218348x15500401Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/1503.08116Direct OA link when available
- Concepts
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Mathematics, Fractal, Spline interpolation, Interpolation (computer graphics), Univariate, Peano axioms, Applied mathematics, Spline (mechanical), Quadratic equation, Monotone cubic interpolation, Mathematical analysis, Pure mathematics, Nearest-neighbor interpolation, Discrete mathematics, Geometry, Multivariate statistics, Bilinear interpolation, Computer science, Artificial intelligence, Statistics, Structural engineering, Engineering, Motion (physics)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
16Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 3, 2024: 1, 2023: 2, 2021: 1, 2020: 3Per-year citation counts (last 5 years)
- References (count)
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32Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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