CONSTRUCTION OF RECURRENT FRACTAL INTERPOLATION SURFACES WITH FUNCTION SCALING FACTORS AND ESTIMATION OF BOX-COUNTING DIMENSION ON RECTANGULAR GRIDS

DOI10.1142/S0218348X15500309zbMath1342.65085arXiv1307.3229OpenAlexW2964256295MaRDI QIDQ5739836

Hyong-chol O, Hui-chol Choi, Chol-hui Yun

Publication date: 5 July 2016

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3229

zbMATH Keywords

box-counting dimensionfractal interpolation functionfractal surfacerecurrent iterated functions system

Mathematics Subject Classification ID

Numerical interpolation (65D05) Fractals (28A80)

Related Items (9)

Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors ⋮ Construction and box dimension of recurrent fractal interpolation surfaces ⋮ Construction of cubic spline hidden variable recurrent fractal interpolation function and its fractional calculus ⋮ A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\) ⋮ RECURRENT FRACTAL INTERPOLATION SURFACES ON TRIANGULAR DOMAINS ⋮ HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTIONS WITH FUNCTION CONTRACTIVITY FACTORS ⋮ NEW NONLINEAR RECURRENT HIDDEN VARIABLE 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

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