Special Issue "Wavelets, Fractals and Information Theory"
A special issue of Entropy (ISSN 1099-4300).
Deadline for manuscript submissions: closed (20 December 2015)
Prof. Dr. Carlo Cattani
Engineering School (DEIM) University of Tuscia, 01100 Largo dell'Università, Viterbo, Italy
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Interests: wavelets; fractals; fractional calculus; dynamical systems; data analysis; time series analysis; image analysis; computer science; computational methods; composite materials; elasticity; nonlinear waves
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
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