Method for constructing a three dimensional scanning trajectory capable of acquiring a complete set of radon data for exact image reconstruction of an object irradiated by a cone beam source

摘要

Construction and assessment methods provide a three dimensional scanning trajectory to ensure the acquisition of a complete set of Radon data for exact image reconstruction of an object irradiated by a cone beam source is described. The three dimensional scanning trajectory must be nowhere disconnected permitting the source to traverse the scanning trajectory in a continuous manner from start point to end point. The trajectory defines edges wherein a convex surface is formed by connecting these edges, this surface is known as a convex hull. If the convex hull defined by a trajectory encloses the object to be scanned, a complete set of Radon data for exact image reconstruction of the object can be acquired. This provision amounts to satisfying the three dimensional completeness criterion. Furthermore, if any planar projection of the trajectory encloses the corresponding planar projection of the object, the three dimensional completeness criterion is satisfied by using projected planar visualization aids.