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math.FA2022
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…
math.AP2022
Simultaneous recovery of attenuation and source density in SPECT
Sean Holman, Philip Richardson
We show that under a certain non-cancellation condition the attenuated Radon transform uniquely determines piecewise constant attenuation and piecewise source density …