Inversion of spherical Radon transform in a spherical shell

We derive explicit inversion formulas recovering functions supported in spherical shells either inside a sphere or outside the sphere, from spherical Radon transforms with centers on the sphere and with partial data in the radial direction. We present numerical simulations validating our inversion formulas.

People: Gaik Ambartsoumian, Rim Gouia-Zarrad, Venkateswaran P. Krishnan and Souvik Roy
Status: Paper in preparation