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math.FA2023
Surface of revolution Radon transforms with centers on generalized surfaces in
James W. Webber, Sean Holman, Eric Todd Quinto
We present a novel analysis of a Radon transform, , which maps an function of compact support to its integrals over smooth surfaces of revolution with centers on an embedd…
math.FA2023
On a cylindrical scanning modality in three-dimensional Compton scatter tomography
James W. Webber
We present injectivity and microlocal analyses of a new generalized Radon transform, , which has applications to a novel scanner design in three-dimensional Compton Sc…
math.FA2023
Generalized Abel equations and applications to translation invariant Radon transforms
James W. Webber
Generalized Abel equations have been employed in the recent literature to invert Radon transforms which arise in a number of important imaging applications, including Compton Scatt…