On the Differentiation and Integration of Ray Transform on the Unite Sphere

A.V. Likhachov, E.V. Shaposhnikova, and O.E. Trofimov (Russia)


Cone-beam tomography, exact inversion formula.


The present paper is devoted to the development of exact inversion formulas for cone-beam tomography. The expression of inverse three-dimensional ray transform that only includes differentiation and integration on the unite sphere and differentiation along source trajectory is derived. This expression can be used for the numerical algorithms designing.

Important Links:

Go Back