On a three-dimensional Compton scattering tomography system with fixed source

Compton scatter tomography is an emerging technique with attractive applications in several fields imaging such as non-destructive testing and medical scanning. In this paper, we introduce a novel modality three dimensions fixed source single detector that moves on spherical surface. We also study the Radon transform modeling data consists integrals toric surfaces. Using harmonics arrive to generalized Abel s type equation connecting coefficients of expansion those function. show uniqueness its solution so invertibility transform. illustrate through numerical reconstructions using Tikhonov regularization. A preliminary version algorithm for discrete harmonic available public code repository.