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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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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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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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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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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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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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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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A fractal analysis of interconnection complexity
Proceedings of the IEEE, 1993The emergent, collective properties of computer interconnections are shown to be characterized by a noninteger dimension D/sub i/, which is, in general, different from the system's Euclidean dimension. This dimension characterizes the properties of a fractal support, or substrate, on which interconnections are placed to provide communication throughout
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On the fractal features in fingerprint analysis
Proceedings of 13th International Conference on Pattern Recognition, 1996The paper presents the results of the investigations of the behaviour of different fractal characteristics of textured images with complex pattern structure with fingerprint images as the experimental base. Two fractal characteristics-mass estimate of fractal dimension (EFD), and grid EFD (GEFD) are tested and local and global fingerprint fractal ...
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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