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Radon Transform on the Torus

Mediterranean Journal of Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abouelaz, Ahmed, Rouvière, François
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Radon transforms and lamplighter random walks

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SCARABOTTI, Fabio, TOLLI F.
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Shearlets as Multi-scale Radon Transforms

Sampling Theory in Signal and Image Processing, 2017
It is shown that the 2D-shearlet transform is the composition of the affine Radon transform, a 1D-wavelet transform and a 1D-convolution. This is applied to give an alternative proof of the fact that the shearlet transform is able to resolve the wavefront set associated with the unit disc.
BARTOLUCCI, FRANCESCA   +3 more
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The Radon Transform

2009
For a given function f defined in the plane, which may represent, for instance, the attenuation-coefficient function in a cross section of a sample, the fundamental question of image reconstruction calls on us to consider the value of the integral of f along a typical line l t , θ.
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The Radon Transform

1998
The Radon transform, which was first discussed in 1912 by J. Radon, can be seen as a special case of a symmetry-preserving integral transform. The theory of this transformation is closely connected to Fourier transforms. The name Radon transform was first used by F. John in 1955.
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Elementary Inversion of Radon’s Transform

SIAM Review, 1986
This paper suggests one possible approach to demonstrating how to invert the Radon transform, in a language accessible to senior undergraduates in the mathematical sciences, from a new, rigorous point of view that closely parallels actual numerical methods, and involves only calculus.
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The global burden of lung cancer: current status and future trends

Nature Reviews Clinical Oncology, 2023
Amanda Leiter
exaly  

The Radon Transform on Rn

1980
It was proved by J. Radon in 1917 that a differentiable function on R3 can be determined explicitly by means of its integrals over the planes in R3. Let J(ω, p) denote the integral of f over the hyperplane 〈x, ω〉 = p, ω denoting a unit vector and 〈,〉 the inner product.
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Radon and Lung Cancer: Current Trends and Future Perspectives

Cancers, 2022
Marta Garcia de Herreros, Laura Mezquita
exaly  

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