© 2014 Konstantin Igudesman, Roman Lavrenov and Victor Klassen. We introduce new method of calculation of box dimension of fractal functions' graphs, which are based on fractal interpolation functions. Provide a comparison of the effectiveness of the traditional method of calculating the box dimension to our new approach. On the example of the Weierstrass function we show that the new method almost 3 times more effective than classical
Fractal dimension can be used as an index of complexity in research applications. Currently, researc...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...
This research article deals with the fractal interpolation function and its box dimension correspond...
© 2014 Konstantin Igudesman, Roman Lavrenov and Victor Klassen. We introduce new method of calculati...
© 2014 Konstantin Igudesman, Roman Lavrenov and Victor Klassen. We introduce new method of calculati...
AbstractIn this paper, we present a new method to calculate the box dimension of a graph of continuo...
In our previous work, where we build a Laplacian on the graph of the Weierstrass function, we came a...
In our previous work, where we build a Laplacian on the graph of the Weierstrass function, we came a...
AbstractBased on the construction of Fractal Interpolation Functions, a new construction of Fractal ...
Abstract. This article deals with the numerical computation of the Box-counting dimension of fractal...
A fractal is a property of self-similarity, each small part of the fractal object is similar to the ...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
International audienceNumerical methods which utilize partitions of equal-size, including the box-co...
The Weierstrass-Mandelbrot (W-M) function was first used as an example of a real function which is c...
Fractal dimension can be used as an index of complexity in research applications. Currently, researc...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...
This research article deals with the fractal interpolation function and its box dimension correspond...
© 2014 Konstantin Igudesman, Roman Lavrenov and Victor Klassen. We introduce new method of calculati...
© 2014 Konstantin Igudesman, Roman Lavrenov and Victor Klassen. We introduce new method of calculati...
AbstractIn this paper, we present a new method to calculate the box dimension of a graph of continuo...
In our previous work, where we build a Laplacian on the graph of the Weierstrass function, we came a...
In our previous work, where we build a Laplacian on the graph of the Weierstrass function, we came a...
AbstractBased on the construction of Fractal Interpolation Functions, a new construction of Fractal ...
Abstract. This article deals with the numerical computation of the Box-counting dimension of fractal...
A fractal is a property of self-similarity, each small part of the fractal object is similar to the ...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
International audienceNumerical methods which utilize partitions of equal-size, including the box-co...
The Weierstrass-Mandelbrot (W-M) function was first used as an example of a real function which is c...
Fractal dimension can be used as an index of complexity in research applications. Currently, researc...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...
This research article deals with the fractal interpolation function and its box dimension correspond...