Image Representation by Blob and CT Reconstruction from Few Projections

The localized radial symmetric function, or the blob, is an ideal alternative to the pixel for CT image reconstruction. In this paper we develop image representation models using blob and propose reconstruction methods for few projections CT data. The image is represented by a single scale Gaussian blob or multiscale blobs of different frequency selectivity, and is reconstructed by minimizing the Total Variation or the l(1) norm of blob coefficients. Some 2D numerical results are presented, where we use the GPU platform for fast numerical evaluations of the operations such as the X-Ray projection and back projection.