Sentence examples for counting dimension from inspiring English sources

We used the maximum possible different grid positions for every image in order to ensure the accuracy of the calculation, while we calculated the box counting dimension for both cross-sectional and top view SEM images of different magnifications.

Examples of cross-sectional SEM images (a 1 ) and top view images (b 1 ) of the studied porous Si layer with their corresponding binary images (a 2 ) and (b 2 ), used for the calculation of the box counting dimension.

The box counting dimension is then defined, which is a type of fractal dimension and is based on the calculation of a scaling rule (using the negative limit of the ratio of the log of the number of boxes at a certain scale over the log of that scale).

2D boxing counting fractal dimension.

For characterization of multifractals, only one number, such as fractal box-counting dimension D, is not sufficient.

If a set S supporting a measure μ is covered by boxes of size ε and if the number of boxes N is evaluated, one can determine box-counting dimension as N ∼ ε-D.

The most popular one is the box-counting dimension.

Then, the fractal dimension can be calculated using the box-counting dimension method.

This provides the first example which demonstrates that the time-averaged spreading rates may exceed the upper box-counting dimension of the spectrum.

According to the calculation method of box-counting dimension, we calculated the fractal dimension of the loose coal to be approximately 1.86.

On the basis of experimentally determined images, the fractal dimensions (FDs) of rounded notched specimens' surfaces are numerically calculated by using Otsu threshold segmentation and box-counting dimension method.