Fractals: Applications in Biological Signalling and Image Processing

Fractals: Applications in Biological Signalling and Image Processing

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Product Details

ISBN-13: 9781498744218
Publisher: Taylor & Francis
Publication date: 10/04/2016
Pages: 190
Product dimensions: 6.12(w) x 9.25(h) x (d)

Table of Contents

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

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