Limited Number of Materials Scene Reconstruct from Mojette Projections

The discrete tomography which focuses on the binary image reconstruction from two orthogonal projections, whereas the Mojette transform allows for a more general framework with any kind of values and any number of projections. The line Mojette was derived to focus on the limited number of materials scene reconstructions. Meanwhile, the scene only contained limited number of materials. So projection line might contain a unique material value, and then pixels of this line can be back-projected directly with the unique material value. The merits of the inverse line Mojette compare the Dirac Mojette that it can always solve more than one pixel at a time. In this paper, we discussed the line Mojette algorithm performances for the 2, 3, and 4 materials images. After comparison of analysis, results show the line Mojette performance ought to be paramount in the 3 materials case.