«Fractal dimension»
۷۸۰۴ نتیجهFractal dimension in software networks
– A large number of real networks are characterized by two fundamental properties: they are small world and scale-free. A recent paper demonstrated that the structure of many complex networks is also self-similar under a length-scale transformation, and calculated their fractal d
Fractal dimension for fractal structures: Applications to the domain of words
Keywords: Fractal structure Fractal dimension Box-counting dimension Domain of words Language Regular expression Binary-coded decimal Search tree a b s t r a c t A fractal structure is a tool that is used to study the fractal behavior of a space. In this paper, we show how to app
A Power Differentiation Method of Fractal Dimension Estimation for 2-D Signals
other fractal-based features as descriptors of the texture of images [2–6]. Applications of the fractal theory in image Fractal dimension has been used for texture analysis as it is highly correlated with the human perception of surface analysis also include image segmentation [2
Algorithmic Interpretations of Fractal Dimension
We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces are the subject of intensive study in various branches of mathematics, including geometry, topology, and measure theory. There are several well-studied notions of fractal dimension
Understanding the Fractal Dimensions of Urban Forms through Spatial Entropy
The spatial patterns and processes of cities can be described with various entropy functions. However, spatial entropy always depends on the scale of measurement, and it is difficult to find a characteristic value for it. In contrast, fractal parameters can be employed to charact
Determining the Fractal Dimension of a Time Series with a Neural Net
There are several methods for estimating the fractal dimension of a time series of data such as the box counting method and the correlation method [DeGrauwe, Dewachter and EmbrechtS, 1993] [peitgen and Saupe, 1988]. The application of these methods are often demanding in computin
A Modified Fractal Dimension as a Measure of Landscape Diversity
Fractals hove been used recently to describe spatial patterns in mony iandscape-leve1 applicotions. One such appiication has been to measure the geometnk complexity of landscape features. This paper describes a modified fractal dimension to be used as a measure of distribution of
A Complexity-Invariant Measure Based on Fractal Dimension for Time Series Classification
Classification is an important task in time series mining. It is often reported in the literature that nearest neighbor classifiers perform quite well in time series classification, especially if the distance measure properly deals with invariances required by the domain. Complex
Analysis of the Correlation Between Strength and Fractal Dimension of Gravelly Soil in Debris-flow Source Areas
Particle size distribution of gravelly soil plays a crucial role in debris flow initiation. For better understanding the mechanism of debris flow formation, two crucial mechanical property parameters of the gravelly soil are required to be studied meticulously: hydraulic conducti
Fractal Dimension of EEG in Sleep Onset
Sleep onset is typically monitored using EEG, EMG and EOG. Scoring rules of Rechtschaffen and Kales (RK) are normally used in 30 s epochs for scoring wakefulness (S0) and sleep stages (S1, S2, S3, S4 and REM). One daytime sleepiness test is Maintenance of Wakefulness Test (MWT) w