The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces
From MaRDI portal
Publication:3841498
DOI10.1142/S0218348X97000504zbMath0908.65005MaRDI QIDQ3841498
Publication date: 20 August 1998
Published in: Fractals (Search for Journal in Brave)
Numerical smoothing, curve fitting (65D10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (48)
NATURAL CUBIC SPLINE COALESCENCE HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Generalized bivariate Hermite fractal interpolation function ⋮ A Monotonic Rational Fractal Interpolation Surface and Its Analytical Properties ⋮ Natural bicubic spline fractal interpolation ⋮ Closed fractal interpolation surfaces ⋮ Bicubic partially blended rational fractal surface for a constrained interpolation problem ⋮ A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\) ⋮ In reference to a self-referential approach towards smooth multivariate approximation ⋮ PARTIALLY BLENDED CONSTRAINED RATIONAL CUBIC TRIGONOMETRIC FRACTAL INTERPOLATION SURFACES ⋮ A note on stability and fractal dimension of bivariate \(\alpha\)-fractal functions ⋮ Convexity/concavity and stability aspects of rational cubic fractal interpolation surfaces ⋮ A fractal interpolation scheme for a possible sizeable set of data ⋮ Constrained Data Visualization Using Rational Bi-cubic Fractal Functions ⋮ FRACTIONAL CALCULUS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION FUNCTIONS ⋮ Rational fractal surface interpolating scheme with variable parameters ⋮ Constrained and convex interpolation through rational cubic fractal interpolation surface ⋮ Node insertion in coalescence fractal interpolation function ⋮ BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS ⋮ SURFACE FITTING AND ERROR ANALYSIS USING FRACTAL INTERPOLATION ⋮ BIVARIATE FRACTAL INTERPOLATION SURFACES: THEORY AND APPLICATIONS ⋮ Bivariate shape preserving interpolation: a fractal-classical hybrid approach ⋮ Nonlinear bivariate fractal interpolation function on grids ⋮ Fractal perturbation of shaped functions: convergence independent of scaling ⋮ CONSTRUCTION OF RECURRENT FRACTAL INTERPOLATION SURFACES WITH FUNCTION SCALING FACTORS AND ESTIMATION OF BOX-COUNTING DIMENSION ON RECTANGULAR GRIDS ⋮ A NEW CONSTRUCTION OF THE FRACTAL INTERPOLATION SURFACE ⋮ A NEW CLASS OF FRACTAL INTERPOLATION SURFACES BASED ON FUNCTIONAL VALUES ⋮ Approximation by hidden variable fractal functions: a sequential approach ⋮ Positive blending Hermite rational cubic spline fractal interpolation surfaces ⋮ Fractal interpolation surfaces with function vertical scaling factors ⋮ Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions ⋮ IMAGE COMPRESSION USING RECURRENT BIVARIATE FRACTAL INTERPOLATION SURFACES ⋮ Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension ⋮ Positivity and stability of rational cubic fractal interpolation surfaces ⋮ Error analysis for bivariate fractal interpolation functions generated by 3-D perturbed iterated function systems ⋮ A countable fractal interpolation scheme involving Rakotch contractions ⋮ A NEW NONLINEAR FRACTAL INTERPOLATION FUNCTION ⋮ CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS ⋮ SMOOTHNESS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Hidden Variable Bivariate Fractal Interpolation Surfaces ⋮ HIDDEN VARIABLE VECTOR VALUED FRACTAL INTERPOLATION FUNCTIONS ⋮ Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator ⋮ Analytical properties of bivariate fractal interpolation functions with vertical scaling factor functions ⋮ FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS ⋮ $$\mathcal{C}^{1}$$ -Rational Cubic Fractal Interpolation Surface Using Functional Values ⋮ Approximation properties of bivariate α-fractal functions and dimension results ⋮ CONSTRUCTION OF A CLASS OF WEIGHTED BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ⋮ THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES ⋮ The Minkowski dimension of the bivariate fractal interpolation surfaces
This page was built for publication: The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces