A series solution and a fast algorithm for the inversion of the spherical mean Radon transform

@inproceedings{Kunyansky2007ASS,
  title={A series solution and a fast algorithm for the inversion of the spherical mean Radon transform},
  author={Leonid A. Kunyansky},
  year={2007}
}
An explicit series solution is proposed for the inversion of the spherical mean Radon transform. Such an inversion is required in problems of thermoand photo-acoustic tomography. Closed-form inversion formulae are currently known only for the case when the centres of the integration spheres lie on a sphere surrounding the support of the unknown function, or on certain unbounded surfaces. Our approach results in an explicit series solution for any closed measuring surface surrounding a region… CONTINUE READING
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