In the case of fractals and similarly complex objects, quantities such as length, area and volume may be infinite, or rather undefined. Hence it is necessary to consider other notions of measurement when comparing fractals. This report aims to motivate such a measure and show that it contains many of the intuitive properties of dimension. Furthermore, some methods for measuring this ‘fractal dimension’ are described.
The paper presents algorithms for measuring the fractal dimension of real and complex digital signals embedded in one, two or higher dimensional spaces. Simple, yet efficient MATLAB implementations, allowing the fast handling of whole chromosome complex genomic signals, are descr
Two measures are commonly used to describe scale-invariant complexity in images: fractal dimension (D) and power spectrum decay rate (β). Although a relationship between these measures has been derived mathematically, empirical validation across measurements is lacking. Here, we
ABSTARCTFractal theory is used in image processing. The dimension of complex objects in nature is calculated by Fractal Dimension. Fractal Dimension is used in shape classification, graphic analysis in many fields, texture segmentation. FD‟s can be used to aid in several data min
Fractal Dimension (FD) is an essential feature of fractal geometry that characterizes the surface roughness of complex or irritated objects. Though, fractal dimension gradually established its importance in the area of image processing by means of image segmentation, Pattern reco
The aim of this work is to investigate the change of fractal dimension Df with the help of Higuchi Fractal Dimension measure (HFD) in Event-Related Potentials (ERP) of human EEG time series, obtained as a result of oddball paradigm usage and auditory stimulation with instruction
The Fractal Dimension (FD) of an image defines the roughness using a real number which is highly associated with the human perception of surface roughness. It has been applied successfully for many computer vision applications such as texture analysis, segmentation and classifica