Fractals, Wavelets, and their Applications ed. by Christoph Bandt, et al.

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Fractals, Wavelets, and their Applications ed. by Christoph Bandt, et al.
"Fractals, Wavelets, and their Applications" ed. by Christoph Bandt, Michael Barnsley, Robert Devaney, Kenneth J. Falconer, V. Kannan, Vinod Kumar
Contributions from the International Conference and Workshop on Fractals and Wavelets
Spr | 2014 | ISBN: 3319081055 3319081047 9783319081045 9783319081052 | 499 pages | PDF | 9 MB

This volume will be useful for the beginners as well as experts in the fields of fractals and wavelets. 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.

The 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.
Part I Fractal Theory
Introduction to Fractals
Geometry of Self-similar Sets
An Introduction to Julia and Fatou Sets
Parameter Planes for Complex Analytic Maps
Measure Preserving Fractal Homeomorphisms
The Dimension Theory of Almost Self-affine Sets and Measures
Countable Alphabet Non-autonomous Self-affine Sets
On Transverse Hyperplanes to Self-similar Jordan Arcs
Fractals in Product Fuzzy Metric Space
Some Properties on Koch Curve
Projections of Mandelbrot Percolation in Higher Dimensions
Some Examples of Finite Type Fractals in Three-Dimensional Space
Fractals in Partial Metric Spaces
Part II Wavelet Theory
Frames and Extension Problems I
Frames and Extension Problems II
Local Fractal Functions and Function Spaces
Some Historical Precedents of the Fractal Functions
A New Class of Rational Quadratic Fractal Functions with Positive Shape Preservation
Interval Wavelet Sets Determined by Points on the Circle
Inverse Representation Theorem for Matrix Polynomials and Multiscaling Functions
A Remark on Reconstruction of Splines from Their Local Weighted Average Samples
C1-Rational Cubic Fractal Interpolation Surface Using Functional Values
On Fractal Rational Functions
Part III Applications of Fractals and Wavelets
Innovation on the Tortuous Path: Fractal Electronics
Permutation Entropy Analysis of EEG of Mild Cognitive Impairment Patients During Memory Activation Task
A Multifractal-Based Image Analysis for Cervical Dysplasia Classification
Self-Similar Network Traffic Modelling Using Fractal Point Process-Markovian Approach
Validation of Variance Based Fitting for Self-similar Network Traffic
Self-Similar Network Traffic Modeling Using Circulant Markov Modulated Poisson Process
Investigation of Priority Based Optical Packet Switch Under Self-Similar Variable Length Input Traffic Using Matrix Queueing Theory
Computationally Efficient Wavelet Domain Solver for Florescence Diffuse Optical Tomography
Implementation of Wavelet Based and Discrete Cosine Based Algorithm on Panchromatic Image
Trend, Time Series, and Wavelet Analysis of River Water Dynamics
An Efficient Wavelet Based Approximation Method to Film-Pore Diffusion Model Arising in Chemical Engineering
A New Wavelet-Based Hybrid Method for Fisher Type Equation
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Tags: Fractals, Wavelets, Applications, Christoph

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