To local reconstruction from the spherical mean Radon transform
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.09.055
Abstract: Abstract The article suggests a new approach using the so-called consistency method for the inversion of the spherical mean Radon transform in 2D with detectors on a line. We present a new iterative formula which… read more here.
Keywords: reconstruction; radon transform; spherical mean; mean radon ... See more keywords
To recovering the moments from the spherical mean Radon transform
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124334
Abstract: Abstract This article deals with characterizations of a function in terms of its circular mean Radon transform. We present a new approach (the consistency method) showing how to describe the class of real-valued, planar functions… read more here.
Keywords: mean radon; radon transform; circular mean; recovering moments ... See more keywords
Isometry property and inversion of a spherical mean Radon transform with centers on a hyperplane
Sign Up to like & getrecommendations! Published in 2024 at "AIP Advances"
DOI: 10.1063/5.0186372
Abstract: The spherical mean Radon transform maps a suitable function f to the integral of f over a sphere. This transform is used in photoacoustic tomography based on the wave equation. There have been studies on… read more here.
Keywords: radon transform; mean radon; spherical mean;