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Über dieses Buch

Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology, India from November 9-12, 2013. Written by experts, the contributions hope to inspire and motivate researchers working in this area. They provide more insight into the areas of fractals, self similarity, iterated function systems, wavelets and the applications of both fractals and wavelets. This volume will be useful for the beginners as well as experts in the fields of fractals and wavelets.

Inhaltsverzeichnis

Frontmatter

Fractal Theory

Frontmatter

2014 | OriginalPaper | Buchkapitel

Introduction to Fractals

Christoph Bandt

2014 | OriginalPaper | Buchkapitel

Geometry of Self-similar Sets

Christoph Bandt

2014 | OriginalPaper | Buchkapitel

An Introduction to Julia and Fatou Sets

Scott Sutherland

2014 | OriginalPaper | Buchkapitel

Parameter Planes for Complex Analytic Maps

Robert L. Devaney

2014 | OriginalPaper | Buchkapitel

Measure Preserving Fractal Homeomorphisms

Michael F. Barnsley, Brendan Harding, Miroslav Rypka

2014 | OriginalPaper | Buchkapitel

The Dimension Theory of Almost Self-affine Sets and Measures

Károly Simon

2014 | OriginalPaper | Buchkapitel

Countable Alphabet Non-autonomous Self-affine Sets

Mariusz Urbański

2014 | OriginalPaper | Buchkapitel

On Transverse Hyperplanes to Self-similar Jordan Arcs

Andrey Tetenov

2014 | OriginalPaper | Buchkapitel

Fractals in Product Fuzzy Metric Space

R. Uthayakumar, A. Gowrisankar

2014 | OriginalPaper | Buchkapitel

Some Properties on Koch Curve

R. Uthayakumar, A. Nalayini Devi

2014 | OriginalPaper | Buchkapitel

Projections of Mandelbrot Percolation in Higher Dimensions

Károly Simon, Lajos Vágó

2014 | OriginalPaper | Buchkapitel

Some Examples of Finite Type Fractals in Three-Dimensional Space

Mai The Duy

2014 | OriginalPaper | Buchkapitel

Fractals in Partial Metric Spaces

S. Minirani, Sunil Mathew

Wavelet Theory

Frontmatter

2014 | OriginalPaper | Buchkapitel

Frames and Extension Problems I

Ole Christensen

2014 | OriginalPaper | Buchkapitel

Frames and Extension Problems II

Ole Christensen, Hong Oh Kim, Rae Young Kim

2014 | OriginalPaper | Buchkapitel

Local Fractal Functions and Function Spaces

Peter R. Massopust

2014 | OriginalPaper | Buchkapitel

Some Historical Precedents of the Fractal Functions

M. A. Navascués, M. V. Sebastián

2014 | OriginalPaper | Buchkapitel

A New Class of Rational Quadratic Fractal Functions with Positive Shape Preservation

A. K. B. Chand, P. Viswanathan, M. A. Navascués

2014 | OriginalPaper | Buchkapitel

Interval Wavelet Sets Determined by Points on the Circle

Divya Singh

2014 | OriginalPaper | Buchkapitel

Inverse Representation Theorem for Matrix Polynomials and Multiscaling Functions

M. Mubeen, V. Narayanan

2014 | OriginalPaper | Buchkapitel

A Remark on Reconstruction of Splines from Their Local Weighted Average Samples

P. Devaraj, S. Yugesh

2014 | OriginalPaper | Buchkapitel

?? 1 $$\mathcal{C}^{1}$$ -Rational Cubic Fractal Interpolation Surface Using Functional Values

A. K. B. Chand, N. Vijender

2014 | OriginalPaper | Buchkapitel

On Fractal Rational Functions

P. Viswanathan, A. K. B. Chand

Applications of Fractals and Wavelets

Frontmatter

2014 | OriginalPaper | Buchkapitel

Innovation on the Tortuous Path: Fractal Electronics

Nathan Cohen

2014 | OriginalPaper | Buchkapitel

Permutation Entropy Analysis of EEG of Mild Cognitive Impairment Patients During Memory Activation Task

Leena T. Timothy, Bindu M. Krishna, Murali Krishna Menon, Usha Nair

2014 | OriginalPaper | Buchkapitel

A Multifractal-Based Image Analysis for Cervical Dysplasia Classification

P. Singh, J. Jagtap, C. Pantola, A. Agarwal, A. Pradhan

2014 | OriginalPaper | Buchkapitel

Self-Similar Network Traffic Modelling Using Fractal Point Process-Markovian Approach

Rajaiah Dasari, Ramesh Renikunta, Malla Reddy Perati

2014 | OriginalPaper | Buchkapitel

Validation of Variance Based Fitting for Self-similar Network Traffic

Ramesh Renikunta, Rajaiah Dasari, Ranadheer Donthi, Malla Reddy Perati

2014 | OriginalPaper | Buchkapitel

Self-Similar Network Traffic Modeling Using Circulant Markov Modulated Poisson Process

Ranadheer Donthi, Ramesh Renikunta, Rajaiah Dasari, Malla Reddy Perati

2014 | OriginalPaper | Buchkapitel

Investigation of Priority Based Optical Packet Switch Under Self-Similar Variable Length Input Traffic Using Matrix Queueing Theory

Ravi Kumar Gudimalla, Malla Reddy Perati

2014 | OriginalPaper | Buchkapitel

Computationally Efficient Wavelet Domain Solver for Florescence Diffuse Optical Tomography

K. J. Francis, I. Jose

2014 | OriginalPaper | Buchkapitel

Implementation of Wavelet Based and Discrete Cosine Based Algorithm on Panchromatic Image

Jyoti Sarup, Jyoti Bharti, Arpita Baronia

2014 | OriginalPaper | Buchkapitel

Trend, Time Series, and Wavelet Analysis of River Water Dynamics

Kulwinder Singh Parmar, Rashmi Bhardwaj

2014 | OriginalPaper | Buchkapitel

An Efficient Wavelet Based Approximation Method to Film-Pore Diffusion Model Arising in Chemical Engineering

Pandy Pirabaharan, R. David Chandrakumar, G. Hariharan

2014 | OriginalPaper | Buchkapitel

A New Wavelet-Based Hybrid Method for Fisher Type Equation

R. Rajaram, G. Hariharan
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