Fractals: Applications in Biological Signalling and Image Processing, 1st Edition (Hardback) book cover

Fractals

Applications in Biological Signalling and Image Processing, 1st Edition

By Dinesh Kumar, Sridhar P. Arjunan, Behzad Aliahmad

CRC Press

190 pages | 10 Color Illus. | 30 B/W Illus.

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Hardback: 9781498744218
pub: 2016-10-04
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Description

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.

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

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MED009000
MEDICAL / Biotechnology
TEC059000
TECHNOLOGY & ENGINEERING / Biomedical