Special Issue "Wavelets, Fractals and Information Theory II"
A special issue of Entropy (ISSN 1099-4300).
Deadline for manuscript submissions: closed (30 November 2016).
Interests: wavelets; fractals; fractional calculus; dynamical systems; data analysis; time series analysis; image analysis; computer science; computational methods; composite materials; elasticity; nonlinear waves
Special Issues and Collections in MDPI journals
Special Issue in Entropy: Wavelets, Fractals and Information Theory III
Special Issue in Fractal and Fractional: Fractional Dynamics
Special Issue in Symmetry: Symmetry and Complexity
Special Issue in Applied Sciences: Fractal Based Information Processing and Recognition
Topical Collection in Entropy: Wavelets, Fractals and Information Theory
Special Issue in Symmetry: Symmetry and Complexity 2019
Special Issue in Fractal and Fractional: 2019 Selected Papers from Fractal Fract’s Editorial Board Members
Special Issue in Axioms: Fractional Calculus, Wavelets and Fractals
Special Issue in Symmetry: Symmetry and Complexity 2020
Special Issue in Fractal and Fractional: 2020 Selected Papers from Fractal Fract’s Editorial Board Members
Special Issue in Symmetry: Advanced Calculus in Problems with Symmetry
Special Issue in Mathematics: Advanced Methods in Computational Mathematical Physics
Special Issue in Fractal and Fractional: Qualitative Analysis of Fractional Deterministic and Stochastic Systems
Special Issue in Fractal and Fractional: Numerical Methods and Simulations in Fractal and Fractional Problems
Special Issue in Fractal and Fractional: Fractional Dynamics 2021
Special Issue in Entropy: Wavelets, Fractals and Information Theory IV
Special Issue in Entropy: Advanced Numerical Methods for Differential Equations
Wavelet Analysis and Fractals are playing fundamental roles in various applications in Science, Engineering, and Information Theory.
In information theory, the entropy encoding might be considered a sort of compression in a quantization process, and this can be further investigated by using the wavelet compression. There are many types of entropy definitions that are very useful in the Engineering and Applied Sciences, such as the Shannon-Fano entropy, the Kolmogorov entropy, etc. However, only entropy encoding is optimal for the complexity of large data analysis, such as in data storage. In fact, the principal advantage of modeling a complex problem via wavelet analysis is the minimization of the memory space for storage or transmission. Moreover, this kind of approach reveals some new aspects and promising perspectives in many other kinds of applied and theoretical problems. For instance, in engineering, the best way to model the traffic in wireless communication is based on fractal geometry, whereas the data are efficiently studied through wavelet basis.
This Special Issue will also be an opportunity for extending the research fields of image processing, differential/integral equations, number theory and special functions, image segmentation, the sparse component analysis approach, generalized multiresolution analysis, and entropy as a measure in all aspects of the theoretical and practical studies of Mathematics, Physics, and Engineering.
The main topics of this Special Issue include (but are not limited to):
- Entropy encoding, wavelet compression, and information theory.
- Fractals, Non-differentiable functions. Theoretical and applied analytical problems of fractal type, fractional equations.
- Wavelet Analysis, integral transforms and applications.
- Wavelet-fractal entropy encoding and computational mathematics, including in image processing.
- Wavelet-fractal approach.
Prof. Dr. Carlo Cattani
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
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