Results 171 to 180 of about 5,604,790 (214)

Generalization of Hermite functions by fractal interpolation

open access: yesJournal of Approximation Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. A. Navascués   +1 more
exaly   +8 more sources

Fractal Interpolation Surfaces derived from Fractal Interpolation Functions

open access: yesJournal of Mathematical Analysis and Applications, 2007
The paper presents a new construction of fractal interpolation surfaces based on the construction of fractal interpolation functions and proves some of their interesting properties. With the use of fractal interpolation functions, fractal interpolation surfaces are constructed as graphs of continuous functions on arbitrary data points placed on ...
P Bouboulis
exaly   +5 more sources
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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

On the integral transform of fractal interpolation functions

Mathematics and Computers in Simulation
Arulprakash Gowrisankar   +2 more
exaly   +4 more sources

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

Estimating fractal dimension with fractal interpolation function models

IEEE Transactions on Medical Imaging, 1997
Fractal dimension (fd) is a feature which is widely used to characterize medical images. Previously, researchers have shown that fd separates important classes of images and provides distinctive information about texture. We analyze limitations of two principal methods of estimating fd: box-counting (BC) and power spectrum (PS).
Alan I. Penn, Murray H. Loew
openaire   +2 more sources

Resampling and reconstruction with fractal interpolation functions

IEEE Signal Processing Letters, 1998
An alternative form of the fractal interpolation function (FIF)-previously unmentioned in the signal processing literature-is noted. This form highlights a simple relationship between fractal and linear interpolation. Using this relationship, many FIF problems can be reduced to a matrix/vector expression. This expression provides a more powerful way to
Jeffery R. Price, Monson H. Hayes III
openaire   +2 more sources

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