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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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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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Line Detection Using Radon Transform [PDF]
Engineering and Technology Journal, 2010 To extract features from digital images, it is useful to be able to find simpleshapes (straight lines, circles, ellipses, etc.).In order to achieve this goal, one can be able to detect a group of pixels that are ona straight line or a smooth curve.
H. H. Abbas, Hussein Ali Hussein
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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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The Radon transform on Abelian Groups
Journal of Combinatorial Theory, Series A, 1987 Let A be a finite group and let B be a subset of A. For any function \(f: A\to {\mathbb{C}}\), one can define the function \(F_ B: A\to {\mathbb{C}}\), called the Radon transform of f with respect to B by \(F_ B(a):=\sum_{b\in B}f(ab)\). The problem we address in this note is: for which subsets B is the Radon transform invertible ?
Peter Frankl, Ronald L. Graham
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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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