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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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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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Kernel-based Image Reconstruction from Scattered Radon Data [PDF]
, 2016 Computerized tomography requires suitable numerical methods for the approximation of a bivariate function f from a finite set of discrete Radon data, each of whose data samples represents one line integral of f .
DE MARCHI, Stefano +2 more
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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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Comparison problems for Radon transforms
Advances in Mathematics, 2023 26 ...
Koldobsky, Alexander +2 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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Inversion formulas for quarter-spherical Radon transforms
AIMS Mathematics, 2023 The applications of spherical Radon transforms include synthetic aperture radar, sonar tomography, and medical imaging modalities. A spherical Radon transform maps a function to its integrals over a family of spheres.
Gyeongha Hwang, Sunghwan Moon
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Identifying rotational radon transforms [PDF]
Periodica Mathematica Hungarica, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reconstruction from Radon projections and orthogonal expansion on a ball
, 2007 The relation between Radon transform and orthogonal expansions of a function on the unit ball in $\RR^d$ is exploited. A compact formula for the partial sums of the expansion is given in terms of the Radon transform, which leads to algorithms for image ...
Bojanov B +19 more
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Some uniqueness theorems for a conical Radon transform
Journal of Physics Communications, 2023 The conical Radon transform, which assigns to a given function f on ${{\mathbb{R}}}^{3}$ its integrals over conical surfaces, arises in several imaging techniques, e.g. in astronomy and homeland security, especially when the so-called Compton cameras are
Sunghwan Moon
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