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Dispersive Radon transform [PDF]
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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A Radon transform on the cylinder [PDF]
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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Nonuniqueness for the Radon transform [PDF]
There exists a nonconstant harmonic function h h on
Armitage, D. H., Goldstein, M.
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Use of the 3D radon transform to examine the properties of oceanic Rossby waves [PDF]
One of the most successful applications of satellite-borne radar altimeter data over the oceans in recent years has been the extraction of information about long-wavelength baroclinic Rossby (or planetary) waves, which play a significant role in ocean ...
Delahaye, Jean-Yves +58 more
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Inverse Multiscale Discrete Radon Transform by Filtered Backprojection
The Radon transform is a valuable tool in inverse problems such as the ones present in electromagnetic imaging. Up to now the inversion of the multiscale discrete Radon transform has been only possible by iterative numerical methods while the continuous ...
José G. Marichal-Hernández +4 more
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On Radon Transforms on Tori [PDF]
We show injectivity of the X-ray transform and the $d$-plane Radon transform for distributions on the $n$-torus, lowering the regularity assumption in the recent work by Abouelaz and Rouvière. We also show solenoidal injectivity of the X-ray transform on the $n$-torus for tensor fields of any order, allowing the tensors to have distribution valued ...
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In this chapter, we introduce the Radon transform as the mathematical forward model of interest for tomographic reconstruction of 2D parallel-beam data.
Jørgensen, Jakob Sauer +1 more
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Analyse des signaux multicomposante à modulation de fréquence linéaire par la transformation de Teager-Huang-Hough [PDF]
A novel detection approach of linear FM (LFM) signals, with single or multiple components, in the time-frequency plane of Teager-Huang (TH) transform is presented.
BOUDRAA, Abdelouahab +4 more
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An extension of Radon transform by using a measure function capturing the user need is proposed. The new transform, called scale space Radon transform, is devoted to the case where the embedded shape in the image is not filiform.
Djemel Ziou +2 more
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Quantum Radon Transforms and Their Applications
This article extends the Radon transform, a classical image-processing tool for fast tomography and denoising, to the quantum computing platform. A new kind of periodic discrete Radon transform (PDRT), called the quantum periodic discrete Radon transform
Guangsheng Ma, Hongbo Li, Jiman Zhao
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