An Improved Reconstruction Technique

In this study, we introduce an enhanced algebraic reconstruction method for generating an image from its Radon transform. Our approach enhances the conventional algebraic algorithm by integrating image moments and moments derived from specific sub-images. Both theoretical analysis and experimental outcomes yield two significant observations. Firstly, this novel algorithm consistently yields highly accurate image reconstructions. Secondly, the incorporation of moments from the provided projections enriches the information available about the target image, leading to a reduction in the number of projections necessary compared to traditional reconstruction methods.