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Fractals: Applications in Biological Signalling and Image Processing
Auflage
1
Ort / Verlag
United States: CRC Press
Erscheinungsjahr
2017
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
The book provides an insight into the advantages and limitations of the use of fractals in biomedical data. It begins with a brief introduction to the concept of fractals and other associated measures and describes applications for biomedical signals and images. Properties of biological data in relations to fractals and entropy, and the association with health and ageing are also covered. The book provides a detailed description of new techniques on physiological signals and images based on the fractal and chaos theory.
The aim of this book is to serve as a comprehensive guide for researchers and readers interested in biomedical signal and image processing and feature extraction for disease risk analyses and rehabilitation applications. While it provides the mathematical rigor for those readers interested in such details, it also describes the topic intuitively such that it is suitable for audience who are interested in applying the methods to healthcare and clinical applications. The book is the outcome of years of research by the authors and is comprehensive and includes other reported outcomes.
Introduction
Introduction
History of Fractal Analysis
Fundamentals of fractals
Definition of Fractal
Complexity of biological systems
Fractal Dimension
Summary of this book
References
Physiology, Anatomy and Fractal Properties
Introduction
Conceptual understanding
Chaos, Complexity, Fractals and entropy
Chaos Theory
Complex Systems
Entropy
Fractal and fractal dimension
Computing Fractal dimension
Relationship of Fractals and Self-similarity
Fractals in Biology
Properties of natural and synthetic objects
Human physiology
Summary
References
Fractal Dimension of Biosignals
Introduction
Fractal Dimension and Self-similarity
Different methods to estimate fractal dimension of a waveform
Fractals and Electrocardiogram (ECG), Electromyogram (EMG) and Electroencephalogram (EEG)
Fractal dimension for Gait Analysis
Summary
References
Fractals analysis of electrocardiogram
Heart activity and fractal properties
Heart rate variability
Fractal properties of ECG
An Example
Poincare plot of heart-rate variability
Application - ECG and Heart rate variability
Summary
References
Fractals analysis of Surface Electromyogram
Introduction
Surface Electromyogram (sEMG)
Fractal analysis of sEMG
Summary
References
Fractals analysis of Electroencephalogram
Electroencephalogram
Techniques for EEG Analysis
Fractal properties of EEG
An example - Measuring alertness using Fractal properties of EEG
References
Fractal analysis of biomedical images
Introduction
Fractal geometry and self-similarity
Entropy, fractals and tortuosity
Binary Box-count Fractal dimension
Differential (3D) Box-counting dimension
Spectral fractal dimension
Higuchi’s fractal dimension
Summary
References
Fractal Dimension of Retinal Vasculature
Introduction to human eye anatomy
Eye fundus retinopathy - Disease manifestation in retina
FD and age related changes of retinal vasculature
FD and Hypertensive retinopathy
FD and risk of stroke event
FD and Diabetic retinopathy
Summary
References
Fractal Dimension of Mammograms
Introduction
Mammography and Properties of breast tissue
Fractal irregularities of breast tissues
Fractal based detection of Breast cancer and the tumor types
Summary
References
Fractal Dimension of Skin Lesions
Introduction
Fundamentals of Skin
Skin legions and abnormalities
Skin cancer and associated changes to FD
FD of the ageing skin
Summary
References
Case study I: Age associated change of complexity
Background
Physiological basis
Ageing muscles and fractal properties
Ageing heart and changes to ECG
Ageing eyes and FD of eye-fundus images
Summary
References
Case study 2: Health, well-being and Fractal properties
Introduction
Risk of stroke and retinal fractal
Muscle fatigue and fractal properties
Summary
References