CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS

DOI10.1142/S0218127410027933zbMath1208.28006MaRDI QIDQ3086298

Wolfgang Metzler, Chol-hui Yun

Publication date: 30 March 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

box-counting dimensioniterated function system (IFS)fractal interpolation function (FIF)

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (27)

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 ⋮ NATURAL CUBIC SPLINE COALESCENCE HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Construction of fractal surfaces by recurrent fractal interpolation curves ⋮ Bicubic partially blended rational fractal surface for a constrained interpolation problem ⋮ In reference to a self-referential approach towards smooth multivariate approximation ⋮ BOX DIMENSION OF BILINEAR FRACTAL INTERPOLATION SURFACES ⋮ Box dimension of \(\alpha\)-fractal function with variable scaling factors in subintervals ⋮ Non-stationary \(\alpha\)-fractal surfaces ⋮ A note on stability and fractal dimension of bivariate \(\alpha\)-fractal functions ⋮ RECURRENT FRACTAL INTERPOLATION SURFACES ON TRIANGULAR DOMAINS ⋮ HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTIONS WITH FUNCTION CONTRACTIVITY FACTORS ⋮ Convexity/concavity and stability aspects of rational cubic fractal interpolation surfaces ⋮ CONSTRUCTION OF FRACTAL SURFACES ⋮ Constrained Data Visualization Using Rational Bi-cubic Fractal Functions ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ Hidden variable bivariate fractal interpolation functions and errors on perturbations of function vertical scaling factors ⋮ SURFACE FITTING AND ERROR ANALYSIS USING FRACTAL INTERPOLATION ⋮ CONSTRUCTION OF RECURRENT FRACTAL INTERPOLATION SURFACES WITH FUNCTION SCALING FACTORS AND ESTIMATION OF BOX-COUNTING DIMENSION ON RECTANGULAR GRIDS ⋮ Cuckoo search-designated fractal interpolation functions with winner combination for estimating missing values in time series ⋮ Fractal interpolation functions with variable parameters and their analytical properties ⋮ A TYPE OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR FRACTIONAL CALCULUS ⋮ Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator ⋮ Stereographic metric and dimensions of fractals on the sphere ⋮ FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS ⋮ CONSTRUCTION OF A CLASS OF WEIGHTED BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ⋮ THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES

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• The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces
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• Study of generation of rock fracture surfaces by using fractal interpolation.

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