James W. Webber

collaborators

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, $f : R^{n} \to R$ , and attenuation coefficient, $μ : R^{n} \to R$ , in Compton camera imagi…

math.FA2026

Spherical Radon transforms with smoothly varying radii

James W. Webber, Eric Todd Quinto

We present an analysis of a novel spherical Radon transform, $R$ , which defines the integrals of a function, $f$ , in $R^{n}$ over spheres with arbitrary center ( $y$ …

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, $R$ , arising in Compton Scattering Tomography (CST). Due to attenuation effects in CST, the integral…