A fractal procedure for monotonicity preserving interpolation

DOI10.1016/j.amc.2014.06.090zbMath1338.65030OpenAlexW2045207948MaRDI QIDQ297698

Arya Kumar Bedabrata Chand, Puthan Veedu Viswanathan

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.090

zbMATH Keywords

monotonicityconvergenceshape preserving interpolationiterated function systemsrational cubic spline FIF

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (18)

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Uses Software

• pchip

Cites Work

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• Data visualization using rational spline interpolation
• The calculus of fractal interpolation functions
• Fractal functions and interpolation
• Piecewise monotone interpolation
• Interpolation in a derivative strip
• Generalization of Hermite functions by fractal interpolation
• Fractal perturbation preserving fundamental shapes: bounds on the scale factors
• Fractal rational functions and their approximation properties
• A \(\mathcal{C}^{1}\)-rational cubic fractal interpolation function: convergence and associated parameter identification problem
• Natural bicubic spline fractal interpolation
• Fractal interpolation surfaces derived from fractal interpolation functions
• Visualization of data preserving monotonicity
• A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects
• Smooth fractal interpolation
• Accurate Monotonicity Preserving Cubic Interpolation
• Convexity-Preserving Piecewise Rational Quartic Interpolation
• C² Rational Quadratic Spline Interpolation to Monotonic Data
• The Determination of Derivative Parameters for a Monotonic Rational Quadratic Interpolant
• Shape Preserving Piecewise Rational Interpolation
• Monotone Piecewise Cubic Interpolation
• Monotone and Convex Spline Interpolation
• A relation between fractal dimension and Fourier transform – electroencephalographic study using spectral and fractal parameters
• Generalized Cubic Spline Fractal Interpolation Functions

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