Sentence examples for by computing the fractal from inspiring English sources

In addition, we tried to assess their scale-invariant properties by computing the fractal dimension.

The most popular algorithm for computing the fractal dimension of one-dimensional and two-dimensional data is the box-counting, the method originally developed by Voss (1985).

In this study, we computed the fractal properties of DAPI-stained nuclei in whole TMA cores.

The next step is to compute the fractal dimension (FD) of the enhanced grayscale image using DBC.

Application of the box counting method (with appropriate spatial scale range for our structures of interest – nominally ~4 to 60 μm) [ 5, 10 ] to compute the fractal dimension of each outline image obtained from step 3. Identification of the global maximum from a plot of fractal dimension versus intensity threshold.

By comparing the fractal dimension for a concatenated infinite sequence of known fractal dimension, we obtain results similar to those shown in Figure 8 of [ 21].

Multi-fractal spectrum [7] (FRA): The local fractal dimension is computed for each pixel using three different types of measures for computing the local density.

Fractal dimensionality We computed the reliability of five calculations of fractal dimensionality.

The computed fractal dimensions between the resolved and the Taylor-microscale filtered fields are almost identical.

The computed colour fractal dimensions are 3.14, 3.31, and 3.072, respectively.

We developed a model to compute the porosity and geometrical outer diameter of the agglomerates and derived the fractal relation between the mass and the outer diameter with a fractal dimension of 2.6, which agreed well with fractal dimensions of bulk CNT assemblies determined by other analytical methods.