Results 11 to 20 of about 36,710 (271)
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 all hyperplanes of dimension N − 1 N - 1 , has been extended to Schwartz distributions by several people including Gelfand, Graev, and Vilenkin, who extended it to tempered
Mikusinski, Piotr, Zayed, Ahmed
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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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Scale-discretised ridgelet transform on the sphere [PDF]
, 2019 We revisit the spherical Radon transform, also called the Funk-Radon transform, viewing it as an axisymmetric convolution on the sphere. Viewing the spherical Radon transform in this manner leads to a straightforward derivation of its spherical harmonic ...
candes +12 more
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A range description for the planar circular Radon transform [PDF]
, 2005 The transform considered in the paper integrates a function supported in the unit disk on the plane over all circles centered at the boundary of this disk.
Ambartsoumian, Gaik, Kuchment, Peter
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On Radon Transforms on Tori [PDF]
Journal of Fourier Analysis and Applications, 2014 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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Detection of Blood Vessels in Color Fundus Images using a Local Radon Transform [PDF]
Iranian Journal of Medical Physics, 2010 Introduction: This paper addresses a method for automatic detection of blood vessels in color fundus images which utilizes two main tools: image partitioning and local Radon transform.
Reza Pourreza +3 more
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Quantum Radon Transforms and Their Applications
IEEE Transactions on Quantum Engineering, 2022 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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IET Image Processing, 2021 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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Applied Sciences, 2023 The Radon transform constitutes the conventional tool for tomosynthesis, i.e., the composition of cross-sections of an object from its projections. It is actually a version of the Fourier Transform, which is accompanied by the appropriate digital high ...
Georgia Koukiou +1 more
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