3 papers
math.NA2026
Microlocal analysis of a non-linear cone transform and applications to Compton camera imaging
James W. Webber, Sean Holman
We present a novel method to recover the source intensity, , and attenuation coefficient, , in Compton camera imagi…
math.FA2025
Microlocal analysis of non-linear operators arising in Compton CT
James W. Webber, Sean Holman
We present a novel microlocal analysis of a non-linear ray transform, , arising in Compton Scattering Tomography (CST). Due to attenuation effects in CST, the integral…
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…