Recovering a function from spherical means in 3D using local data

We study the spherical mean Radon transform in $\mathbb{R}^3$ with detectors centered on a plane. A novel iterative formula to inverse the spherical mean Radon transform in 3D is found. To recover a function from its spherical mean values we use local data which is the benefit of this formula. The inversion of the spherical mean Radon transform is used in mathematical models of radar imaging, thermo- and photo-acoustic tomography, and others.