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Fractal analysis of the uterine contractions.
Rivista di biologia, 2004The fractal dimension D may be calculated in many ways, since its strict definition, the Hausdorff definition is too complicated for practical estimation. In this paper we perform a comparative study often methods of fractal analysis of time series. In Benoit, a commercial program for fractal analysis, five methods of computing fractal dimension of ...
Oczeretko, Edward +3 more
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Fractals and the analysis of waveforms
Computers in Biology and Medicine, 1988Waveforms are planar curves--ordered collections of (x, y) point pairs--where the x values increase monotonically. One technique for numerically classifying waveforms assesses their fractal dimensionality, D. For waveforms: D = log(n)/(log(n) + log(d/L], with n = number of steps in the waveform (one less than the number of (x, y) point pairs), d ...
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Fractals, 1996
The concept of fractal form analysis is introduced, in which fractal metrication is defined for partial objects of fractals as a cmD or b mD with the fractal dimensionality D.
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The concept of fractal form analysis is introduced, in which fractal metrication is defined for partial objects of fractals as a cmD or b mD with the fractal dimensionality D.
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Meccanica, 2005
The author tries to establish a ``new analysis'' to study so-called irregular objects often modeled by fractal sets in order to formulate ``differential equation'' on nowhere differentiable sets or functions. Firstly, the analysis on the Sierpiński gasket is shown, includes the approximation of the Sierpiński gasket, the energy form, the Lagrangian ...
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The author tries to establish a ``new analysis'' to study so-called irregular objects often modeled by fractal sets in order to formulate ``differential equation'' on nowhere differentiable sets or functions. Firstly, the analysis on the Sierpiński gasket is shown, includes the approximation of the Sierpiński gasket, the energy form, the Lagrangian ...
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Fractals and the analysis of growth paths
Bulletin of Mathematical Biology, 1985A simple practical method exists for classifying and comparing planar curves composed of connected line segments. This method assigns, a single numberD, the fractal dimension, to each curve.D=log(n)/[log(n)+log(d/L)], where:n is the number of line segments,L is the total length of the line segments, andd is the planar diameter of the curve (the ...
M J, Katz, E B, George
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Analysis of a purina fractal beamformer
2013 Asilomar Conference on Signals, Systems and Computers, 2013This paper investigates the use of a Purina fractal array for beamforming. We compare the performance of this array to full lattice arrays of same aperture and element count in terms of beam pattern and complexity. Further, the array's sensitivity to element displacement and failure is investigated.
Karagiannakis, P., Weiss, S.
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Application of fractal analysis in hyperparathyroidism
Dentomaxillofacial Radiology, 2009Primary hyperparathyroidism (HPT) is a condition caused by an overproduction of parathormone, in excess of the amount required by the body. Its most common cause is a parathyroid gland adenoma and parathyroidectomy is currently the only curative treatment for primary HPT. We present a case history of a 65-year-old patient who was diagnosed with primary
Ergun, S. +3 more
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Fractal Analysis in Medical Imaging
International Journal of Nonlinear Sciences and Numerical Simulation, 2002Summary: Anatomic and functional studies of the living body have revealed that organs have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. Such as lung vasculature or vermis of the cerebellum has a structure in which its small scale appears similar to its large-scale form.
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A fractal analysis of cell images
Journal of Neuroscience Methods, 1989Methods of digital image analysis have been adapted to measure the fractal dimension of cellular profiles. The fractal dimension is suggested as a useful measure of the complexity of a contour. Three methods produce similar results when applied to constructed, near-ideal fractal figures.
T G, Smith +4 more
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Fractal feature and texture analysis
Systems and Computers in Japan, 1988AbstractAlthough fractal dimension is popular in computer graphics, it is not yet utilized adequately in image analysis. Thus, this paper presents an example of the application of fractal dimension to image analysis. First, the conventional fractal concept is described and then the possibilities of its application to image processing are discussed ...
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