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Related to Fractal: Fractal dimension
A fragmented geometric shape that can be split into parts, each of which approximates a reduced-size copy of the whole, a property which is called self-similarity. Fractals provide the mathematics behind structures in the natural universe—e.g., frost crystals, coastlines, etc.—which cannot be described by the language of euclidean geometry. Fractal analysis is providing new ways to interpret biomedical phenomena. It has been used for classifying histopathology, enzymology, and signal and image compression
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To illustrate the fractal function of (1) for different values of fractal dimension D, some representative simulations of that are shown in Fig.
The concepts behind fractal geometry generally fall under one of two categories: geometric fractals or random fractals.
On the occasion of its 10th anniversary, Artes Orientes gallery at Serendra presents Edwin Wilwayco's celebrated Fractals series in Fractal Attraction.
Fractal geometry has proven to be a very valuable instrument in various fields.
Keywords: Discontinuous Functions Interpolation Approximation Functional Spaces Fractals.
Each extracted ROI is then analyzed by fractal algorithm to find fractal dimension of the ROI at hand.
DISCUSSION: Fractal analysis method is able to quantify the irregular structures that are present in tumors, insitu carcinomas which show micro invasion, thinning, fragmentation, interrupted basement membrane staining, where loss of basement membrane continuity cannot be used as a simple criterion of invasion.
The effects of frequency responses of pentagon upon embedding the first Koch fractal geometry are analyzed in CST.
Due to the random process used, the structures obtained are all different in size and shape but possess common fractal geometry and characteristics.
In fact, there are studies quantifying the fractal dimension of aquatic environments at different scales, such as: (i) river basins (CAMPOS et al.
In order to achieve the miniaturized log-periodic dipole antenna (LPDA), this paper introduces the 2nd-iteration tree fractal dipoles as the basic structural elements of an ultra-wideband log-periodic 2nd-iteration tree-dipole array ([LPT.