Fractal interpolation surfaces with function vertical scaling factors

DOI10.1016/j.aml.2012.02.059zbMath1253.65022OpenAlexW2041625158MaRDI QIDQ712630

Zhenyou Yuan, Yizhuo Feng, Zhi-Gang Feng

Publication date: 17 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.059

zbMATH Keywords

numerical examplesrectangular domainarbitrary interpolation nodesfractal interpolation surfacefunction vertical scaling factors

Mathematics Subject Classification ID

Numerical interpolation (65D05) Fractals (28A80) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (25)

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 ⋮ Comparison of two fractal interpolation methods ⋮ Construction of fractal surfaces by recurrent fractal interpolation curves ⋮ Bicubic partially blended rational fractal surface for a constrained interpolation problem ⋮ A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\) ⋮ Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension ⋮ FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES ⋮ HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTIONS WITH FUNCTION CONTRACTIVITY FACTORS ⋮ Convexity/concavity and stability aspects of rational cubic fractal interpolation surfaces ⋮ NEW NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Constrained Data Visualization Using Rational Bi-cubic Fractal Functions ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ Rational fractal surface interpolating scheme with variable parameters ⋮ New types of fractal interpolation surfaces ⋮ Constrained and convex interpolation through rational cubic fractal interpolation surface ⋮ Hidden variable bivariate fractal interpolation functions and errors on perturbations of function vertical scaling factors ⋮ Fractal functions with function scaling factors as solutions of \((0,4)\) lacunary interpolation problem ⋮ Nonlinear bivariate fractal interpolation function on grids ⋮ Positive blending Hermite rational cubic spline fractal interpolation surfaces ⋮ Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions ⋮ A NEW NONLINEAR FRACTAL INTERPOLATION FUNCTION ⋮ CONSTRUCTION OF A CLASS OF WEIGHTED BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ⋮ SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS ⋮ SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION

Cites Work

• Unnamed Item
• The Minkowski dimension of the bivariate fractal interpolation surfaces
• Variation and Minkowski dimension of fractal interpolation surface
• Fractal functions and interpolation
• 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
• BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS
• Study of generation of rock fracture surfaces by using fractal interpolation.

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