Fractal interpolation functions for random data sets

DOI10.1016/j.chaos.2018.06.033zbMath1415.28003OpenAlexW2883390362MaRDI QIDQ2000336

Dah-Chin Luor

Publication date: 28 June 2019

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.06.033

zbMATH Keywords

interpolationfractalsfractal interpolation functionsrandom data sets

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Fractals (28A80)

Related Items

LINEAR FRACTAL INTERPOLATION FUNCTION FOR DATA SET WITH RANDOM NOISE ⋮ On the distributions of fractal functions that interpolate data points with Gaussian noise ⋮ FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES ⋮ On the construction of recurrent fractal interpolation functions using Geraghty contractions ⋮ Distribution of noise in linear recurrent fractal interpolation functions for data sets with \(\alpha\)-stable noise ⋮ REPRODUCING KERNEL HILBERT SPACES OF FRACTAL INTERPOLATION FUNCTIONS FOR CURVE FITTING PROBLEMS ⋮ DISTRIBUTION OF LINEAR FRACTAL INTERPOLATION FUNCTION FOR RANDOM DATASET WITH STABLE NOISE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Associate fractal functions in \(\mathcal{L}^p\)-spaces and in one-sided uniform approximation
• Fractal approximation
• Fractal geometry analysis of turbulent data
• Fractal interpolation functions with variable parameters and their analytical properties
• Fractal polynomial interpolation
• Fractal functions and interpolation
• Recurrent iterated function systems
• Vector-valued fractal interpolation functions and their box dimensions
• Generalization of Hermite functions by fractal interpolation
• Fractal perturbation preserving fundamental shapes: bounds on the scale factors
• Fractal rational functions and their approximation properties
• Bilinear fractal interpolation and box dimension
• Natural bicubic spline fractal interpolation
• Fractal interpolation surfaces derived from fractal interpolation functions
• A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects
• Fundamental sets of fractal functions
• Hidden Variable Fractal Interpolation Functions
• Using iterated function systems to model discrete sequences
• Recovery of randomly sampled signals by simple interpolators
• Polynomial interpolation and prediction of continuous-time processes from random samples
• High-Rate Interpolation of Random Signals From Nonideal Samples
• Nonideal sampling and interpolation from noisy observations in shift-invariant spaces
• Generalized Cubic Spline Fractal Interpolation Functions
• HIDDEN VARIABLE VECTOR VALUED FRACTAL INTERPOLATION FUNCTIONS