Error estimates for tomographic inversion

The technique of computerized tomography is studied extensively by engineers as well as mathematicians to improve the quality of reconstructed images. Certain error estimates are available for the reconstruction errors occurring in various tomographic algorithms, in particular the convolution backprojection (CBP) method. The authors present an attempt toward developing some error estimates for predicting the inherent error due to the band-limiting assumption incorporated in the CBP methodology. The norms used are local in character compared to the general norms used in previous studies.