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.
Author(s): Christoph Bandt, Michael Barnsley, Robert Devaney, Kenneth J. Falconer, V. Kannan, Vinod Kumar P.B. (eds.)
Series: Springer Proceedings in Mathematics & Statistics 92
Edition: 1
Publisher: Springer International Publishing
Year: 2014
Language: English
Pages: 508
Tags: Differential Geometry; Analysis; Algebraic Geometry
Front Matter....Pages i-xii
Front Matter....Pages 1-1
Introduction to Fractals....Pages 3-19
Geometry of Self-similar Sets....Pages 21-36
An Introduction to Julia and Fatou Sets....Pages 37-60
Parameter Planes for Complex Analytic Maps....Pages 61-77
Measure Preserving Fractal Homeomorphisms....Pages 79-102
The Dimension Theory of Almost Self-affine Sets and Measures....Pages 103-127
Countable Alphabet Non-autonomous Self-affine Sets....Pages 129-145
On Transverse Hyperplanes to Self-similar Jordan Arcs....Pages 147-156
Fractals in Product Fuzzy Metric Space....Pages 157-164
Some Properties on Koch Curve....Pages 165-173
Projections of Mandelbrot Percolation in Higher Dimensions....Pages 175-190
Some Examples of Finite Type Fractals in Three-Dimensional Space....Pages 191-201
Fractals in Partial Metric Spaces....Pages 203-215
Front Matter....Pages 217-217
Frames and Extension Problems I....Pages 219-234
Frames and Extension Problems II....Pages 235-243
Local Fractal Functions and Function Spaces....Pages 245-270
Some Historical Precedents of the Fractal Functions....Pages 271-282
A New Class of Rational Quadratic Fractal Functions with Positive Shape Preservation....Pages 283-301
Interval Wavelet Sets Determined by Points on the Circle....Pages 303-317
Inverse Representation Theorem for Matrix Polynomials and Multiscaling Functions....Pages 319-339
Front Matter....Pages 217-217
A Remark on Reconstruction of Splines from Their Local Weighted Average Samples....Pages 341-348
On Fractal Rational Functions....Pages 349-367
Front Matter....Pages 369-382
Innovation on the Tortuous Path: Fractal Electronics....Pages 383-383
Permutation Entropy Analysis of EEG of Mild Cognitive Impairment Patients During Memory Activation Task....Pages 385-393
A Multifractal-Based Image Analysis for Cervical Dysplasia Classification....Pages 395-406
Self-Similar Network Traffic Modelling Using Fractal Point Process-Markovian Approach....Pages 407-411
Validation of Variance Based Fitting for Self-similar Network Traffic....Pages 413-425
Self-Similar Network Traffic Modeling Using Circulant Markov Modulated Poisson Process....Pages 427-435
Investigation of Priority Based Optical Packet Switch Under Self-Similar Variable Length Input Traffic Using Matrix Queueing Theory....Pages 437-444
Computationally Efficient Wavelet Domain Solver for Florescence Diffuse Optical Tomography....Pages 445-455
Implementation of Wavelet Based and Discrete Cosine Based Algorithm on Panchromatic Image....Pages 457-469
Trend, Time Series, and Wavelet Analysis of River Water Dynamics....Pages 471-477
An Efficient Wavelet Based Approximation Method to Film-Pore Diffusion Model Arising in Chemical Engineering....Pages 479-490
A New Wavelet-Based Hybrid Method for Fisher Type Equation....Pages 491-500
....Pages 501-508
