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Symplectic Radon Transform and the Metaplectic Representation [PDF]
Entropy, 2022 We study the symplectic Radon transform from the point of view of the metaplectic representation of the symplectic group and its action on the Lagrangian Grassmannian.
Maurice A. de Gosson
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New Poisson inequality for the Radon transform of infinitely differentiable functions [PDF]
Journal of Inequalities and Applications, 2018 Poisson inequality for the Radon transform is a key tool in signal analysis and processing. An analogue of the Hardy–Littlewood–Poisson inequality for the Radon transform of infinitely differentiable functions is proved.
Ziyao Sun
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Swiss national radon database: impact of building and environmental factors [PDF]
Frontiers in Public HealthSince the 1980s, radon has been recognized as a public health concern in Switzerland and internationally. In an effort to more accurately estimate the number of lung cancer cases attributable to radon exposure, Swiss health authorities initiated the ...
Joan F. Rey +3 more
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On the V-Line Radon Transform and Its Imaging Applications [PDF]
International Journal of Biomedical Imaging, 2010 Radon transforms defined on smooth curves are well known and extensively studied in the literature. In this paper, we consider a Radon transform defined on a discontinuous curve formed by a pair of half-lines forming the vertical letter V.
M. Morvidone +3 more
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Long-Term Impacts of Weather Conditions on Indoor Radon Concentration Measurements in Switzerland
Atmosphere, 2022 Radon is a natural and radioactive gas that can accumulate in indoor environments. Indoor radon concentration (IRC) is influenced, among other factors, by meteorology, which is the subject of this paper.
Joan Frédéric Rey +5 more
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Weather Impacts on Indoor Radon Short-Term Measurements in Switzerland
Atmosphere, 2023 Radon is a natural and radioactively well-known carcinogenic indoor air pollutant. Since 2020, a radon short-term proactive methodology has been proposed by Swiss authorities, which aims to evaluate the probability of overpassing the national reference ...
Joan F. Rey +2 more
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The Radon transform of Boehmians [PDF]
Proceedings of the American Mathematical Society, 1993 The Radon transform, which enables one to reconstruct a function of N N variables from the knowledge of its integrals over ...
Mikusinski, Piotr, Zayed, Ahmed
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Radon Transform Based on Waveform for AVO-Preserving Data Construction
Applied Sciences, 2021 The traditional hyperbolic Radon transform suffers from the major problem of how to both obtain a high resolution and preserve the amplitude variation with offset (AVO). In the Radon domain, high resolution (sparseness) is a valid criterion.
Shengchao Wang +3 more
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A Radon transform on the cylinder [PDF]
Journal of Mathematical Analysis and Applications, 2022 We define a parametric Radon transform $R$ that assigns to a Sobolev function on the cylinder $\mathbb{S}\times \mathbb{R}$ in $\mathbb{R}^3$ its mean values along sets $E_ζ$ formed by the intersections of planes through the origin and the cylinder. We show that $R$ is a continuous operator, prove an inversion formula, provide a support theorem, as ...
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Dispersive Radon transform [PDF]
The Journal of the Acoustical Society of America, 2018 Dispersion results in the spreading and overlapping of the wave-packets, which often limits the capability of signal interpretation; on the other hand, such a phenomenon can also be used for structure or media evaluation. In this study, the authors propose an original dispersive Radon transform (DRT), which is formulated as integration transform along ...
Xu, Kailiang +2 more
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