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Lithic Technology, 2017 Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book.
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Current Osteoporosis Reports, 2004
Fractal analysis is a quantitative method used to evaluate complex anatomic findings in their elementary component. Its application to biologic images, particularly to cancellous bones, has been well practiced within the past few years. The aims of these applications are to assess changes in bone and the loss of spongious architecture, indicate bone ...
FELTRIN, GIAMPIETRO +4 more
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Fractal analysis is a quantitative method used to evaluate complex anatomic findings in their elementary component. Its application to biologic images, particularly to cancellous bones, has been well practiced within the past few years. The aims of these applications are to assess changes in bone and the loss of spongious architecture, indicate bone ...
FELTRIN, GIAMPIETRO +4 more
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Fractal Analysis in Human Pathology
Annals of the New York Academy of Sciences, 1999.Living structures may be described as being in a self-organizing, fluctuating steady-state far from equilibrium. 1 Self-organization and a state far from equilibrium are characteristics of chaotic structures. Chaotic structures present fractal geometry, so is not too astonishing that the branching pattern of the airways in the lung or the arterial ...
LUZI P. +6 more
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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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Fractal Analysis in Neurodegenerative Diseases
2016Neurodegenerative diseases are defined by progressive nervous system dysfunction and death of neurons. The abnormal conformation and assembly of proteins is suggested to be the most probable cause for many of these neurodegenerative disorders, leading to the accumulation of abnormally aggregated proteins, for example, amyloid β (Aβ) (Alzheimer's ...
Pinci, Daniel +3 more
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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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Fractal Analysis on the Football Pitch
2019 22nd International Conference on Control Systems and Computer Science (CSCS), 2019This paper focuses on the fractal analysis of the football match between the teams Real Madrid and Barcelona from La Liga 2017/2018 season. We construct the weighted networks of passes for both team based on database. Using the fractal dimension algorithm from massopust, we interpret the weighted networks and we highlight the most important passing ...
Levente Simon, Anna Soós
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