Results 191 to 200 of about 232,194 (228)

FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

Fractals, 2021
In this paper, we give fractal interpolation functions generated on some special affine fractal interpolation curve by harmonic functions of fractal analysis. In the case of Koch Curve, same statement is regarded as a corollary, that is, we show that it is possible to ensure that graphs of fractal interpolation functions on the Koch Curve are ...
SONGIL RI, SONGMIN NAM, HYONCHOL KIM
openaire   +1 more source

Generalization of Hermite functions by fractal interpolation

Journal of Approximation Theory, 2004
Fractal interpolation techniques provide good deterministic representations of complex phenomena. This paper approaches the Hermite interpolation using fractal procedures.
M A Navascues
exaly   +7 more sources

Closed fractal interpolation surfaces [PDF]

Journal of Mathematical Analysis and Applications, 2007
Based on the construction of bivariate fractal interpolation surfaces, we introduce closed spherical fractal interpolation surfaces. The interpolation takes place in spherical coordinates and with the transformation to Cartesian coordinates a closed ...
Bouboulis, P., Dalla, L.
exaly   +4 more sources

Fractal Interpolation Densities

Lobachevskii Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Igudesman, K., Tumakov, M., Snegina, S., Tumakov, D.   +3 more
openaire   +2 more sources

On Stability of Fractal Interpolation

Fractals, 1998
In this paper, a special kind of FIF (fractal interpolation function) is studied. The authors prove the stability of the fractal interpolations. When the interpolation data have a small perturbation, the corresponding FIFs also have a small perturbation.
Feng, Zhigang, Xie, Heping
openaire   +1 more source

The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces

Fractals, 1997
In this paper, the methods of construction of a fractal surface are introduced, the principle of bivariate fractal interpolation functions is discussed. The theorem of the uniqueness of an iterated function system of bivariate fractal interpolation functions is proved.
Xie, Heping, Sun, Hongquan
openaire   +1 more source

Fractal Interpolation on a Torus

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Fractal interpolation for natural images

Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348), 2003
This paper proposes a fractal interpolation for natural images. Generally, linear interpolation and spline interpolation are used for image interpolation. However, an image interpolated by the above conventional methods loses some high-frequency components of an original image. The loss of components lowers fidelity of the interpolated images.
Hiroyuki Honda, Miki Haseyama, Hideo Kitajima   +2 more
openaire   +1 more source

Fractal Multiquadric Interpolation Functions

SIAM Journal on Numerical Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Kumar, A. K. B. Chand, Peter R. Massopust   +2 more
openaire   +2 more sources

FRACTAL INTERPOLANTS ON THE s-SETS

Fractals, 2010
In this paper, we mainly study the s-sets (regular 1-sets), which is the most important fractal in the study of fractal geometry. The regular 1-sets are subsets of countable collection of rectifiable curves. Also we define new real maps on the s-sets by using the methodology based on fractal interpolation functions.
Paramanathan, P., Uthayakumar, R.
openaire   +1 more source