Nevertheless, the variation becomes complicated when the fractal dimension
D is involved.
Recognition of plant leaf image based on fractal dimension
To illustrate the fractal function of (1) for different values of fractal dimension
D, some representative simulations of that are shown in Fig.
mapping us to ascertain geomorphic domains where variability of fractal dimension
of the earth surface represents the roughness of the land form topography and is an assessment of texture of topography.
Feature representation of EGG signals based on fractal dimension
As it can be observed from the Table 1, dead bacteria show higher fractal dimension
and smaller roundness as compared to live bacteria.
Using the data, weighted kappas were calculated, and fractal dimension
in each image was calculated using the box counting method.
Obviously, in a thermoplastic polyethylene insulation water clusters with similar fractal dimensions
Furthermore, it can be noted that among the hundred studied roughness parameters, the most relevant of them to discriminate the topography of the overall polypropylene abraded surfaces is the fractal dimension
of the profiles.
They include sensitive dependence on initial conditions which are in most cases unknown as most assumptions made often lead to error, the current stage of this "new" discipline of science (just half a century old) as one is not yet very sure of how much data is required to precisely reconstruct phase space and determine the fractal dimension
of a given system (discussed in Section 3.
On the one hand, there is a geometrical framework in which the complexity of spatiotemporal objects is measured by their fractal dimension
The degree of irregularity can be measured by fractal dimension
by providing a quantitative index to describe the statistical self-similarity of complex phenomena .