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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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Fractal analysis of cardiac spectra
Symmetry: Culture and ScienceCardiac diseases are one of the main reasons for mortality in modern, industrialized societies, and they cause high expenses in public health systems. Therefore, it is important to develop analytical methods to improve cardiac diagnostics. The heart's electric activity was first modeled using a set of nonlinear differential equations.
Onder Pekcan, Taner Arsan
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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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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 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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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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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 to mammography
2010 Annual International Conference of the IEEE Engineering in Medicine and Biology, 2010We report on a morphological study of 192 breast masses as seen in mammograms, with the aim of discrimination between benign masses and malignant tumors. From the contour of each mass, we computed the fractal dimension (FD) and a few shape factors, including compactness, fractional concavity, and spiculation index. We calculated FD using four different
RAGUSO, Grazia +7 more
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2001
This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to ...
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This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to ...
openaire +1 more source