Analytical properties of bivariate fractal interpolation functions with vertical scaling factor functions

DOI10.1080/00207160.2012.722624zbMath1276.28016OpenAlexW2077513062MaRDI QIDQ2852112

Jiabing Ji, Ji-Gen Peng

Publication date: 8 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.722624

zbMATH Keywords

stabilitysmoothnessfractal interpolation functionvertical scaling factor function

Mathematics Subject Classification ID

Numerical interpolation (65D05) Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (10)

Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors ⋮ Riemann Liouville fractional integral of hidden variable fractal interpolation function ⋮ A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\) ⋮ A new type of zipper fractal interpolation surfaces and associated bivariate zipper fractal operator ⋮ HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTIONS WITH FUNCTION CONTRACTIVITY FACTORS ⋮ Convexity/concavity and stability aspects of rational cubic fractal interpolation surfaces ⋮ Rational fractal surface interpolating scheme with variable parameters ⋮ Hidden variable bivariate fractal interpolation functions and errors on perturbations of function vertical scaling factors ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES ⋮ SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS

Cites Work

• Fractal surfaces
• The Minkowski dimension of the bivariate fractal interpolation surfaces
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• Parameter identification of 1D fractal interpolation functions using bounding volumes
• Fractal functions and interpolation
• Fractal interpolation surfaces and a related 2-D multiresolution analysis
• Generalization of Hermite functions by fractal interpolation
• Fractal interpolation surfaces derived from fractal interpolation functions
• Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
• Error analysis for bivariate fractal interpolation functions generated by 3-D perturbed iterated function systems
• On Stability of Fractal Interpolation
• A general construction of fractal interpolation functions on grids of ⁿ
• SMOOTHNESS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION SURFACES
• The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces
• Hidden Variable Bivariate Fractal Interpolation Surfaces
• Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
• Generalized Cubic Spline Fractal Interpolation Functions
• BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS

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