19 citations · 38 across the 13 of their papers we have counts for
15 papers
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…
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…
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…
Multi-coil MRI by analytic continuation
James W. Webber
We present novel reconstruction and stability analysis methodologies for two-dimensional, multi-coil MRI, based on analytic continuation ideas. We show that the 2-D, limited-data M…
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…