5 citations · 6 across the 6 of their papers we have counts for
8 papers · 1 filter
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…
Ellipsoidal and hyperbolic Radon transforms; microlocal properties and injectivity
James W. Webber, Sean Holman, Eric Todd Quinto
We present novel microlocal and injectivity analyses of ellipsoid and hyperboloid Radon transforms. We introduce a new Radon transform, , which defines the integrals of a compac…
Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography
James W. Webber, Eric Todd Quinto
We present a microlocal analysis of two novel Radon transforms of interest in Compton Scattering Tomography (CST), which map compactly supported functions to their integrals…
Microlocal analysis of generalized Radon transforms from scattering tomography
James W. Webber, Eric Todd Quinto
Here we present a novel microlocal analysis of generalized Radon transforms which describe the integrals of functions of compact support over surfaces of revolution of $C^{\i…
Bragg scattering tomography
James W. Webber, Eric L. Miller
Here we introduce a new forward model and imaging modality for Bragg Scattering Tomography (BST). The model we propose is based on an X-ray portal scanner with linear detector coll…
Compton scattering tomography in translational geometries
James Webber, Eric Miller
Here we present new injectivity results for 2-D and 3-D Compton scattering tomography (CST) problems in translational geometries. The results are proven through the explicit…