Exact 3D cone-beam reconstruction from projections obtained over a Wobble trajectory on a C-arm

We propose a source trajectory for cone-beam geometry that satisfies the conditions for exact 3D reconstruction in the largest sphere that remains non-truncated in the field of view of a given source detector combination. The source trajectory is a natural variation of the traditional circular source trajectory and is achieved by modulating the elevation of the source from the equatorial plane. We use a shift variant filtering approach in developing a filtered back-projection algorithm for robust, and computationally efficient volumetric reconstruction. The method is theoretically exact, and we show some results based upon simulation studies using a mathematical phantom.