A fast tomographic reconstruction algorithm in the 2-D wavelet transform domain

A new method for tomographic reconstruction using 2-D wavelet transform (WT) is proposed. Computed tomography involves huge matrices which make the reconstruction process costly. The WT can focus the useful information on a small number of entries. Then, the computation time can be significantly reduced by using special algorithms to exploit the sparsity of the matrices. Moreover, computing the solution in the WT domain scatters errors on several resolutions and thus, control the quality of the reconstruction. We also show that the 2-D WT is more efficient than the 1-D WT