Fractals, Wavelets, and their Applications: Contributions from the International Conference and Workshop on Fractals and Wavelets

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