Recent Applications of Fractal-Wavelet Analysis in Applied Science and Engineering
A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Applied Industrial Technologies".
Deadline for manuscript submissions: closed (30 September 2021) | Viewed by 2395
Special Issue Editors
2. Department of Basic and Applied Sciences for Engineering (SBAI), University of Rome La Sapienza, 00161 Rome, Italy
3. Department of Economics and Statistics (DISES), University of Salerno, 84084 Fisciano, Italy
Interests: invariance; transformation; complex analysis; fractional calculus; wavelet analysis; fractal geometry; applied functional analysis; dynamical systems; image compression; data compression; pattern recognition; similarity; information theory; Shannon theory; antenna theory; image processing
Special Issues, Collections and Topics in MDPI journals
Interests: digital signal processing; speech processing; speech and language processing
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
In the last four decades, there has been a growing interest in both fractal geometry and wavelet analysis. Indeed, these two theories have been widely applied both in pure and applied science. In particular, fractal sets have become extremely popular thanks to their flexibility in modelling for real-world applications. Image processing, electromagnetism, economy, finance, and medicine are just a few of many research fields where fractal geometry is widely used. Likewise, wavelet analysis has become popular and important due mainly to several applications in numerous and widespread fields (signal processing, electromagnetism, information theory, etc.). In particular, both image processing and electromagnetism have shown that the fractal-wavelet approach can shed some new light on several unsolved problems. In fact, nonlinear models are often described and approximated by pre-fractal sets and wavelet expansions, respectively. Both theories show rather strikingly that contemporary mathematics is capable of providing ever more refined models for real-world applications. The choice of pre-fractal set and wavelet basis relies on the technical requirements and complexity of the physics problem. In the last fifteen years, several publications have appeared documenting the interest of many researchers in this topic.
In this Special Issue, we invite and welcome review, expository, and original papers dealing with recent advances in fractal-wavelet analysis and from a more general point of view, all theoretical and practical investigations in physics and engineering focused on this topic.
The main topics of this Special Issue include (but are not limited to):
- Fractality of discrete sets.
- Fractal sets and number theory.
- Iterated function systems random fractals.
- Fractal markets.
- Fractal-wavelet models and electromagnetic radiation.
- Wavelet theory and image processing.
- Wavelet models in probability.
- Biomedical engineering and wavelet modelling.
- Wavelet finance.
Dr. Emanuel Guariglia
Prof. Dr. Rodrigo Capobianco Guido
Guest Editors
Manuscript Submission Information
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Keywords
- Fractal Set
- Fractal Market
- Lyapunov Exponent
- Chaoticity
- Wavelet Expansion
- Multiresolution Analysis
- Wavelet Packet
- Dynamical System
