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Information Theoretic Study of COVID-19 Genome. [PDF]

Entropy (Basel)
Jacquet P.
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g-Mellin Transform

2018 IEEE 16th International Symposium on Intelligent Systems and Informatics (SISY), 2018
© 2018 IEEE. One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined.
Durakovic, Natasa, Grbić, Tatjana, Rapajić, Sanja, Medić, Slavica, Buhmiler, Sandra   +4 more
openaire   +3 more sources

THE MELLIN CENTRAL PROJECTION TRANSFORM

ANZIAM Journal, 2017
The central projection transform can be employed to extract invariant features by combining contour-based and region-based methods. However, the central projection transform only considers the accumulation of the pixels along the radial direction. Consequently, information along the radial direction is inevitably lost.
Jianwei Yang, Liang Zhang
exaly   +3 more sources

Fractal Mellin transform and non-local derivatives

Georgian Mathematical Journal, 2023
This paper provides a comparison between the fractal calculus of fractal sets and fractal curves. There are introduced the analogues of the Riemann–Liouville and Caputo integrals and derivatives for fractal curves, which are non-local derivatives ...
Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa, Palle E. T. Jorgensen   +3 more
semanticscholar   +1 more source

Quasi Fourier-Mellin Transform for Affine Invariant Features

IEEE Transactions on Image Processing, 2020
Fourier-Mellin transform (FMT) has been widely used for the extraction of rotation- and scale-invariant features. However, affine transform is a more reasonable approximation model for real viewpoint change.
Jianwei Yang, Zhengda Lu, Yuanyan Tang, Zhou Yuan, Yunjie Chen   +4 more
semanticscholar   +1 more source

The Foundations of Fractional Calculus in the Mellin Transform Setting with Applications

Journal of Fourier Analysis and Applications, 2015
Carlo Bardaro, Ilaria Mantellini
exaly   +2 more sources

On Hankel and Mellin transforms [PDF]

International Journal of Mathematical Education in Science and Technology, 1978
This paper illustrates the use of the infinite Hankel and Mellin transforms in the solution of a partial differential equation arising in an infinite aquifer. It introduces a finite Mellin transform to deal with the corresponding finite aquifer and discusses the applicability of each transform and the computational convenience of the different forms of
J.R. Reed, N. Mullineux
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A Mellin transform approach to barrier option pricing

IMA Journal of Management Mathematics, 2018
A barrier option is an exotic path-dependent option contract that, depending on terms, automatically expires or can be exercised only if the underlying asset ever reaches a predetermined barrier price. Using a partial differential equation approach, we
C. Guardasoni, M. Rodrigo, S. Sanfelici
semanticscholar   +1 more source

Mellin Distributions and the Mellin Transformation

1992
The Fourier transform Fσ of a function σ ∈ S\(\left( {{{\mathbb{R}}^{n}}} \right)\) is defined by $$\mathcal{F}\sigma \left( \xi \right) = {{\left( {2\pi } \right)}^{{ - \tfrac{n}{2}}}}\int_{{{{\mathbb{R}}^{n}}}} {{{e}^{{ - ix\xi }}}\sigma \left( x \right)dx{\text{ for }}\xi \in {{\mathbb{R}}^{n}}}$$ . The transformation F is an isomorphism of S
Bogdan Ziemian, Zofia Szmydt
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