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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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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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ChemInform Abstract: Fractal Analysis of Macromolecules
ChemInform, 2000AbstractChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.
G. V. Kozlov, Viktor U. Novikov
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Catalysis Today, 1988
Abstract The fractal interpretation of porosimeter measurements leads to simple expressions which allow one to evaluate both cumulative pore volumes and surface areas over a range of three orders of magnitude. The pore system often consists of differently fractal regions which are superimposed on each other.
H. Spindler, M. Kraft
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Abstract The fractal interpretation of porosimeter measurements leads to simple expressions which allow one to evaluate both cumulative pore volumes and surface areas over a range of three orders of magnitude. The pore system often consists of differently fractal regions which are superimposed on each other.
H. Spindler, M. Kraft
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Fractal analysis of tight shaly sandstones using nuclear magnetic resonance measurements
, 2018Assessing quantitatively the microscopic pore structures of porous rocks, including irregularities of pore shapes and pore size distributions, is becoming one of the most challenging efforts.
Jin Lai+5 more
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DECODING OF UPPER LIMB MOVEMENT BY FRACTAL ANALYSIS OF ELECTROENCEPHALOGRAM (EEG) SIGNAL
Fractals, 2018Analysis of human movements is an important category of research in biomedical engineering, especially for the rehabilitation purpose. The movement of limbs is investigated usually by analyzing the movement signals.
H. Namazi, Tirdad Seifi Ala, V. Kulish
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Nonlinear and Fractal Analysis
2017There are many complex systems in nature that can be explained by nonlinear interactions of its main components. The heart rate regulation is one of the most complex systems in the human body. Heart rhythm is innervated by both the parasympathetic and sympathetic branches of the ANS.
Arturo José Méndez Penín+6 more
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Diabetic Retinopathy Grade Classification based on Fractal Analysis and Random Forest
2019 International Seminar on Application for Technology of Information and Communication (iSemantic), 2019Glaucoma which part of Diabetic Retinopathy is the disease which distorted the optical nerve system and resulted loss in vision. Fractal dimension is one of feature extraction that can been used in retinopathy fields due to the fractal dimension able to ...
F. Alzami+5 more
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Fractals and nonstandard analysis
Journal of Mathematical Physics, 1984We describe and analyze a parametrization of fractal ‘‘curves’’ (i.e., fractal of topological dimension 1). The nondifferentiability of fractals and their infinite length forbid a complete description based on usual real numbers. We show that using nonstandard analysis it is possible to solve this problem: A class of nonstandard curves (whose standard ...
J. Schneider, Laurent Nottale
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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 ...
Daniel Pirici+3 more
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