Few-views image reconstruction with smart and an allowance for contrast structure shadows

Abstract

The paper describes an original algorithm for reconstructing tomographic images from a few views. The algorithm is based on the known iterative Simultaneous Multiplicative Algebraic Reconstruction Technique (SMART). It is peculiar in that corrections for different zones of the reconstruction area are calculated differently with allowance for the distribution of shadows from contrast structures. The algorithm we call SMART-SA (SMART with Shadow Allowance) is implemented in 2D and tested for two numerical models with an air cavity and a material interface with 10% contrast. Reconstruction results are evaluated visually and quantitatively with such characteristics as correlation coefficient and deviation factor. It is shown that SMART-SA is capable of reconstructing the images that are free of artifacts typical of fewviews tomography, and it performs especially well in combination with the MART-AP algorithm we published earlier.