Patent ID: 7262417

Claim:
A method, comprising: determining an apex of a cone from a trajectory of a photon emitted from an object to a point of intersection on a first detector; determining an axis of symmetry of the cone from the point of intersection on the first detector and a point of intersection on a second detector; determining a half-angle of the cone; using a finite set of integrals dependent on the apex of the cone, the half angle of the cone, and the axis of symmetry of the cone to satisfy a completeness condition where: i) if the finite set of integrals comprises surface integrals and if a plane that intersects a sphere with a radius bigger than a distribution where all the surface integrals emanates from the apex whose axis of symmetry is normal to the plane, then obtaining a distribution of radioactivity from the surface integrals; or ii) if the finite set of integrals comprises line integrals and if a plane that intersects a distribution where all the line-integrals emanates from the apex whose axis of symmetry is normal to the plane, then obtaining a distribution of radioactivity from the integrated line-integrals; and using the finite set of integrals for image reconstruction.