Extended high efficiency computed tomography with optimized recursions and applications

An image reconstructor to: receive projection space data; compute one or more measured transformed pixels; compute one or more predicted transformed pixels; compute first pixel innovation result data; compute second pixel innovation result data; compute preliminary transformed object update data; compute a transformed object voxel density update estimate; add the transformed object voxel density update estimate to a corresponding transformed preceding voxel data estimate; and reconstruct an object space image representing the object under observation using the transformed density estimate.