On the parameter identification problem in the plane and the polar fractal interpolation functions
From MaRDI portal
Publication:1963955
DOI10.1006/jath.1999.3380zbMath0945.41001OpenAlexW2073082578MaRDI QIDQ1963955
Vassileios Drakopoulos, Leoni Dalla
Publication date: 3 October 2000
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/08cae6dadcd4571b4655f91e3b9246c8992b757d
Related Items (29)
Closed fractal interpolation surfaces ⋮ Bicubic partially blended rational fractal surface for a constrained interpolation problem ⋮ MULTIVARIATE AFFINE FRACTAL INTERPOLATION ⋮ Approximation by shape preserving fractal functions with variable scalings ⋮ Affine zipper fractal interpolation functions ⋮ A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH ⋮ Curve Fitting by Fractal Interpolation ⋮ Perturbation error analysis for fractal interpolation functions and their moments ⋮ A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ A rational iterated function system for resolution of univariate constrained interpolation ⋮ Constrained shape preserving rational cubic fractal interpolation functions ⋮ Fractal perturbation preserving fundamental shapes: bounds on the scale factors ⋮ Fractal interpolants on the unit circle ⋮ A new class of rational cubic spline fractal interpolation function and its constrained aspects ⋮ Approximation by hidden variable fractal functions: a sequential approach ⋮ Explicitly defined fractal interpolation functions with variable parameters ⋮ A Novel Approach to Surface Interpolation: Marriage of Coons Technique and Univariate Fractal Functions ⋮ Fractal approximation of a function from a countable sample set and associated fractal operator ⋮ FRACTAL INTERPOLANTS ON THE s-SETS ⋮ Fractal Polynomials and Maps in Approximation of Continuous Functions ⋮ BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS ⋮ Counterexamples in parameter identification problem of the fractal interpolation functions ⋮ Energy minimizing associate fractal functions ⋮ Parameter identification of 1D fractal interpolation functions using bounding volumes ⋮ Box dimension and fractional integral of linear fractal interpolation functions ⋮ Approximation using hidden variable fractal interpolation function ⋮ A \(\mathcal{C}^{1}\)-rational cubic fractal interpolation function: convergence and associated parameter identification problem ⋮ On the bounds of scaling factors of affine fractal interpolation functions
Cites Work
- Fractal functions and interpolation
- Vector-valued fractal interpolation functions and their box dimensions
- An approach to nonlinear programming
- Hidden Variable Fractal Interpolation Functions
- Iterated function systems and the global construction of fractals
- FRACTAL MODELING OF SPEECH SIGNALS
- USING LINEAR FRACTAL INTERPOLATION FUNCTIONS TO COMPRESS VIDEO IMAGES
- Using iterated function systems to model discrete sequences
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the parameter identification problem in the plane and the polar fractal interpolation functions
