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Lightweight preprocessing and template matching facilitate streamlined ischemic myocardial scar classification. [PDF]
J Med Imaging (Bellingham)Udin MH +6 more
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Robust Recovery of Optimally Smoothed Polymer Relaxation Spectrum from Stress Relaxation Test Measurements. [PDF]
Polymers (Basel)Stankiewicz A.
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THE MELLIN CENTRAL PROJECTION TRANSFORM
ANZIAM Journal, 2017The 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
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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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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 +4 more
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© 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 +4 more
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Mellin Distributions and the Mellin Transformation
1992The 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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2009
Generally speaking, unlike the Fourier and Laplace transforms, we find that the Mellin transform is not very useful in a direct manner. It is quite effective, however, in the derivation of certain properties of integrals, in summing series, and in statistics.
Larry C. Andrews, Bhimsen K. Shivamoggi
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Generally speaking, unlike the Fourier and Laplace transforms, we find that the Mellin transform is not very useful in a direct manner. It is quite effective, however, in the derivation of certain properties of integrals, in summing series, and in statistics.
Larry C. Andrews, Bhimsen K. Shivamoggi
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Journal of Magnetic Resonance, 2010
This paper describes a new method for computing moments of the transverse relaxation time T(2) from measured CPMG data. This new method is based on Mellin transform of the measured data and its time-derivatives. The Mellin transform can also be used to compute the cumulant generating function of lnT(2).
Fred K. Gruber +3 more
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This paper describes a new method for computing moments of the transverse relaxation time T(2) from measured CPMG data. This new method is based on Mellin transform of the measured data and its time-derivatives. The Mellin transform can also be used to compute the cumulant generating function of lnT(2).
Fred K. Gruber +3 more
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