Fractals: applications in biological signalling and image by Dinesh Kumar, Sridhar P. Arjunan, Behzad Aliahmad

By Dinesh Kumar, Sridhar P. Arjunan, Behzad Aliahmad

The ebook presents an perception into the benefits and barriers of using fractals in biomedical info. It starts with a short advent to the idea that of fractals and different linked measures and describes functions for biomedical indications and pictures. homes of organic info in relatives to fractals and entropy, and the organization with well-being and growing older also are lined. The booklet offers a close description of latest ideas on physiological indications and pictures in keeping with the fractal and chaos concept.

The goal of this booklet is to function a entire advisor for researchers and readers drawn to biomedical sign and photo processing and have extraction for affliction possibility analyses and rehabilitation purposes. whereas it offers the mathematical rigor for these readers attracted to such info, it additionally describes the subject intuitively such that it really is appropriate for viewers who're attracted to employing the how to healthcare and scientific functions. The publication is the result of years of study via the authors and is finished and contains different mentioned outcomes.

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Fractals: applications in biological signalling and image processing

The booklet offers an perception into the benefits and barriers of using fractals in biomedical info. It starts off with a quick advent to the concept that of fractals and different linked measures and describes purposes for biomedical indications and photographs. houses of organic information in kin to fractals and entropy, and the organization with health and wellbeing and getting older also are lined.

Extra resources for Fractals: applications in biological signalling and image processing

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However, in Euclidean space, the above is no longer true when a line is curved, or a rectangle is in a curved plane. The dimension of a curved line in a plane is not one. However, it is also not two, because the curve does not give the freedom for moving in two directions. Fractal dimension tells us how complex a self-similar system is. It measures how many possibilities are permitted in the set. A multifractal system is a generalization of a fractal system in which a single fractal dimension is not sufficient to describe the dynamics.

Research studies have shown that ECG signals can be modelled as fractal sets and can be classified using fractal dimension [28–32]. Peng et al. [33] studied scaleinvariant properties of the human heartbeat time series which is termed as the output of a complicated integrative control system. Fractal Dimension of Biosignals 35 The sequences of heartbeats show fluctuations which have scaleinvariant property [30–32]. These fluctuations can be analysed to observe the presence of repeated patterns and can be associated with various pathological conditions, such as diabetic autonomic neuropathy, heart disease and myocardial infarction.

Bell Syst. Tech. , 27: 379–423, 623–656. Physiology, Anatomy and Fractal Properties 23 7. Rényi, A. 1961. On measures of entropy and information. Proc. Fourth Berkeley Symp. Math. Stat. and Probability, Vol. 1. Berkeley, CA: University of California Press, pp. 547–561. 8. Higashi, M. J. Klir. 1982. Measures of uncertainty and information based on possibility distributions. Int. J. , 9: 43–58. 9. Lopes, R. and N. Betrouni. 2009. Fractal and multifractal analysis: A review. Medical Image Analysis, 13: 634–649.

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