Figure 4

Random projections and its rearrangement. Two figures display the projections generated from a set of view angles. The horizontal axis denotes the index of projections and the vertical axis denotes the sample positions of each projection. As we can find, the range of horizontal axis from 0 to 360 indicates that there are total 360 projections in this figure, and the range of vertical axis from 0 to 300 indicates that there are 300 sampled points on each projection. The colorbar on the right side indicate the value of projection data. The projection data in the Figure (A) and Figure (B) are the same set, but the difference between two figures is that projections in (A) are unordered and sorted in (B). The figure (B) is a common named sinogram, produced by the radon transform of the image. Comparison between two figures demonstrates the performance of our method in rearranging the randomly produced projections.