Beschreibung:
Santo Banerjee was a senior research associate in the Department of Mathematics, Politecnico di Torino, Italy from 2009-2011. He is now working in the Institute for Mathematical Research, University Putra Malaysia (UPM), and is also a founder member of the Malaysia-Italy Centre of Excellence in Mathematical Science, UPM, Malaysia. His research is mainly concerned with Nonlinear Dynamics, Chaos, Complexity and Secure Communication. He is a Managing Editor of The European Physical Journal Plus.
This book describes the basic idea, history, structure, methodology and analysis of fractals, the relationship between fractals and nonlinear dynamics, the applications of fractal and multifractal analysis in biomedical science, and how fractal signals and images are modelled by Iterated Function system.
Preface. Scaling, Scale-invariance and Self-similarity. Fractals. Stochastic Fractal. Multifractality. Fractal and Multifractal in Stochastic Time Series. Application in Image Processing. References.