Patent ID: 7848479

Claim:
A method for reconstructing an exact or quasi-exact image from cone beam data provided by at least one detector for a general circle-plus trajectory comprising the steps of: (a) scanning an object using an x-ray source; (b) collecting cone beam data of the object, wherein the cone beam data corresponds to a general circle-plus trajectory relative to the object; the general circle-plus trajectory including a C component and an L component, wherein C is any closed continuous curve, and L is an additional curve that starts on or below C and ends above C that guarantees completeness of the cone beam data for at least one reconstruction point regardless of movement of the x-ray source during the scanning step; and (c) reconstructing an exact or quasi-exact image of the scanned object from the circle-plus trajectory cone beam data using a convolution based Filtered Back Projection algorithm, wherein for each point on L the step of reconstructing does not depend on the global properties of L.