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Exact reconstruction formulas for a Radon transform over cones [PDF]
, 2013 Inversion of Radon transforms is the mathematical foundation of many modern tomographic imaging modalities. In this paper we study a conical Radon transform, which is important for computed tomography taking Compton scattering into account.
Haltmeier, Markus
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Discrete radon transform [PDF]
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987 This paper describes the discrete Radon transform (DRT) and the exact inversion algorithm for it. Similar to the discrete Fourier transform (DFT), the DRT is defined for periodic vector-sequences and studied as a transform in its own right. Casting the forward transform as a matrix-vector multiplication, the key observation is that the matrix-although ...
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A Weak Target Detection Algorithm IAR-STFT Based on Correlated K-distribution Sea Clutter Model [PDF]
Radioengineering, 2023 The detection performance of weak target on sea is affected by the special effects of sea clutter amplitude. Aiming at the time and space correlated of sea clutter, the correlated K-distribution sea clutter model is established by the sphere invariant ...
Y. Liu, X. Rao, X. Zhu, H. Yi, J. Hu
doaj
Mathematical model of non-stationary diffusion – advection of radon in the soil – atmosphere system [PDF]
E3S Web of Conferences, 2023 A one-dimensional mathematical model of non-stationary diffusion - advection of radon in the soil - atmosphere system is considered. Using the integral Laplace transform, an analytical solution of the mathematical model was obtained and, on its basis ...
Parovik Roman
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Crosstalk attenuation for imaging of multiples based on angle gather residual moveout analysis
Frontiers in Earth Science, 2023 Imaging of multiples, as a supplement to imaging of primaries, can provide a wider range of subsurface illumination. Therefore, it can provide more detailed information on subsurface structures. However, imaging of multiples suffers from crosstalk issues
Zihao Gao +9 more
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Advances in Mathematical Physics, 2018 This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon ...
Sunghwan Moon
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Road Detection by Using a Generalized Hough Transform
Remote Sensing, 2017 Road detection plays key roles for remote sensing image analytics. Hough transform (HT) is one very typical method for road detection, especially for straight line road detection.
Weifeng Liu +3 more
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Inverse of Affine Radon Transform for Light Field Reconstruction From Focal Stack
IEEE Access, 2018 The light field can be applied to computational imaging methods, such as digital refocusing, depth reconstruction, and all-in-focus imaging. In this paper, the affine Radon transform of generating the focal stack by the light field is proposed.
Jun Qiu +4 more
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Gegenbauer Transforms via the Radon Transform [PDF]
SIAM Journal on Mathematical Analysis, 1979 Use is made of the Radon transform on even dimensional spaces and Gegenbauer functions of the second kind to obtain a general Gegenbauer transform pair. In the two-dimensional limit the pair reduces to a Chebyshev transform pair.
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The Radon transform on the Heisenberg group and the transversal Radon transform
Journal of Functional Analysis, 2012 The notion of the Radon transform on the Heisenberg group was introduced by R. Strichartz and inspired by D. Geller and E.M. Stein's related work. The more general transversal Radon transform integrates functions on the m-dimensional real Euclidean space over hyperplanes meeting the last coordinate axis.
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