3-D Tomographic Image Reconstruction from Incomplete Cone Beam Projections

3-D cone beam tomographic imaging system has attracted much attentions for its rapid data acquisition and high resolution image. Some attempts for its realization have been made, but many unsolved problems concerning its image reconstruction remain. In the typical 3-D cone beam tomography, an x-ray source moves on a bounded curve surrounding an object and a 2-D projection is recorded by the planar detector at each source position. For this geometry, the following informative theorem can be proved [1,2].