14 citations · 35 across the 15 of their papers we have counts for
19 papers
Spherical Radon transforms with smoothly varying radii
James W. Webber, Eric Todd Quinto
We present an analysis of a novel spherical Radon transform, , which defines the integrals of a function, , in over spheres with arbitrary center (…
Microlocal analysis of Radon transforms over quadric surfaces
Gaik Ambartsoumian, Raluca Felea, Venkateswaran P. Krishnan +2
We study the microlocal properties of generalized Radon transforms over a family of quadric hypersurfaces whose centers lie on an orientable hypersurface . The quadric surfaces…
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…
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…